-- Hunter proof network: exact theorem terms, separately scoped source modules.
-- Authored manifest SHA-256: 6e4e8d5c750a86f20e8f987a742b4eb2f588563a5f23a438ab84950f16eec8c4
-- Native source SHA-256: 28e2325f196d3d9a5732a05425105305eacbf525fd82bc8e7158a3c5335c416d
-- Authority: Logic / Logos / God. No transfer of an earlier timestamp.
import Lean
set_option maxRecDepth 10000
set_option maxHeartbeats 200000000
namespace NetworkSources.Source0
-- Maclain Hunter: ‘Reason as the Cause of the Universe (God) is Rationally Consistent’ by Maclain Hunter
-- Exact authored source SHA-256: eb6241524418d83c6920598e85b69476235abf71f1ba0a5943ab8be5d661678d
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!(((v0 && (v0 == v1)) && ((!v1) || v2)) && ((!v2) || v0))) || ((v0 && v1) && v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


theorem inference_2 (v0 v1 : Bool) :
    ((!(v0 == v1)) || (v0 == v1)) = true := by
  cases v0 <;> cases v1 <;> decide


end HunterAuthored

end NetworkSources.Source0

namespace NetworkSources.Source1
-- Maclain Hunter: A Demand of Proof for God by Maclain Hunter
-- Exact authored source SHA-256: 7d04607adf0e241bc9ea19370b8c589d9993562c923a481ffbdafd80f84a08ed
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 : Bool) :
    ((!((v0 && ((!v0) || v1)) && v1)) || (v0 && v1)) = true := by
  cases v0 <;> cases v1 <;> decide


end HunterAuthored

end NetworkSources.Source1

namespace NetworkSources.Source2
-- Maclain Hunter: A Logical Proof against Heat Death
-- Exact authored source SHA-256: 28de7784250433cbfd7d52de38bb24d6dcf6702d9110865e5bb6a62193a80a9d
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source2

namespace NetworkSources.Source3
-- Maclain Hunter: A Proof of God and True Brilliance through Logic
-- Exact authored source SHA-256: 5701521213b84201f821e3b10e35debdc6acefbac998aa147a77906fc0a786ab
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 v5 : Bool) :
    ((!(((((v0 && ((!v0) || v1)) && ((!v1) || v2)) && ((!v2) || v3)) && ((!v3) || v4)) && ((!v4) || v5))) || ((((v0 && v1) && (v2 && v3)) && v4) && v5)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> cases v5 <;> decide


theorem inference_2 (v0 v1 v2 v3 v4 v5 : Bool) :
    ((!(((((v0 && ((!v0) || v1)) && ((!v1) || v2)) && ((!v2) || v3)) && ((!v3) || v4)) && ((!v4) || v5))) || ((((v0 && v1) && (v2 && v3)) && v4) && v5)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> cases v5 <;> decide


theorem inference_3 (v0 v1 v2 v3 v4 v5 : Bool) :
    ((!(((((v0 && ((!v0) || v1)) && ((!v1) || v2)) && ((!v2) || v3)) && ((!v3) || v4)) && ((!v4) || v5))) || ((((v0 && v1) && (v2 && v3)) && v4) && v5)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> cases v5 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source3

namespace NetworkSources.Source4
-- Maclain Hunter: A Response to Opposition by Maclain Hunter
-- Exact authored source SHA-256: 1e1091e74bdadf98e2e8c278287a7efd37a2c0d0d6d579e04c3453603ee386b0
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && v1) && v2) && v3)) || ((!((!v0) || v1)) || ((!v2) || v3))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


end HunterAuthored

end NetworkSources.Source4

namespace NetworkSources.Source5
-- Maclain Hunter: A Set of Rational Definitions of God by Maclain Hunter
-- Exact authored source SHA-256: 72283336a09202675bc316c1d221afa4f6d7b4ff99c47e7962e862bcd4e12d7f
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 : Bool) :
    ((!(v0 && ((!v0) || v0))) || v0) = true := by
  cases v0 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source5

namespace NetworkSources.Source6
-- Maclain Hunter: Absolute Logic in Universal Contingency by Maclain Hunter
-- Exact authored source SHA-256: 182a4ad2b271db6d8daaa393f8878f9b94c1d90bb7c23c086e54b88450ed69f1
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && ((!v0) || v1)) && ((!v1) || v2)) && ((!((v0 && v1) && v2)) || v3))) || v3) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


end HunterAuthored

end NetworkSources.Source6

namespace NetworkSources.Source7
-- Maclain Hunter: Ad Hominem and the Law of Reason
-- Exact authored source SHA-256: 9a7c0aaffaaa004df8e6120ccbedb01b3b05ad1f7f8214d575b6263f0a9d0180
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 : Bool) :
    ((!(v0 && ((!v0) || v1))) || (v0 && v1)) = true := by
  cases v0 <;> cases v1 <;> decide


end HunterAuthored

end NetworkSources.Source7

namespace NetworkSources.Source8
-- Maclain Hunter: AEP and Optimized Coherence
-- Exact authored source SHA-256: 00d5334148e3844d08651db1aa5dbb3db943efabd073a7ae7c961e18a1353308
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && ((!v0) || v1)) && ((!v1) || v2))) || ((!v0) || (v2 == v1))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source8

namespace NetworkSources.Source9
-- Maclain Hunter: AEP Logical Reality
-- Exact authored source SHA-256: d43ecdf73d53aca21f11587491a9e240f4f26a54c07af6203f59c43d53488388
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_2 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && ((!v0) || v1)) && ((!v1) || v2)) && ((!v2) || v3))) || ((v0 && v1) && (v2 && v3))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


end HunterAuthored

end NetworkSources.Source9

namespace NetworkSources.Source10
-- Maclain Hunter: AEP Logical Simulation
-- Exact authored source SHA-256: e5e29678dd6df34eeb2ec69a1f10b16794eedbce7297c5c8155cdda52f3031f0
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_2 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && ((!v0) || v1)) && ((!v1) || v2)) && ((!v2) || v3))) || ((v0 && v1) && (v2 && v3))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


end HunterAuthored

end NetworkSources.Source10

namespace NetworkSources.Source11
-- Maclain Hunter: AEP Safety Systems and Controls
-- Exact authored source SHA-256: f71eaa2810c25d8529d4b318bc5fd37da1987de9953ba3875a7b5402be025f4e
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && ((!v0) || v1)) && ((!v1) || v2))) || ((v0 && v1) && v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source11

namespace NetworkSources.Source12
-- Maclain Hunter: Agnosticism and Knowability
-- Exact authored source SHA-256: c839387d29b3cd830e6e176795bea7deb1213405fdcb83929984155a1f012bbb
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && v1) && (v2 == (v0 && v1)))) || ((!(v0 && v1)) || v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source12

namespace NetworkSources.Source13
-- Maclain Hunter: AI and Intellect by Maclain Hunter
-- Exact authored source SHA-256: 36202d94ad5592cc724999f855ad1475149d3f7f2be8737311e30ed2bc8c39e6
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 : Bool) :
    ((!((((v0 && (v0 && v1)) && (v0 && v2)) && (v0 && v3)) && v4)) || (((!v4) || ((v0 && v1) && v2)) == v3)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> decide


end HunterAuthored

end NetworkSources.Source13

namespace NetworkSources.Source14
-- Maclain Hunter: All Equals All by Maclain Hunter
-- Exact authored source SHA-256: 34f592779efd61c39b9ce22128000520c6de1afcacb380e71f9989caa0a5f4d6
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && (v0 == v1)) && (v1 == v2)) && (v2 == v3))) || ((v0 && v1) && (v2 && v3))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source14

namespace NetworkSources.Source15
-- Maclain Hunter: All, Contextual Identity, and Cooperative Coherence
-- Exact authored source SHA-256: 774b8ec047741ec3f9b88b671e87f83bc6d6e0e8653932782db9e1594e9290f8
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 : Bool) :
    ((!v0) || v0) = true := by
  cases v0 <;> decide


theorem inference_2 (v0 : Bool) :
    ((!v0) || v0) = true := by
  cases v0 <;> decide


theorem inference_3 (v0 v1 : Bool) :
    ((!(((v0 && (v0 == v1)) && v1) && ((!v1) || v0))) || (v0 && v1)) = true := by
  cases v0 <;> cases v1 <;> decide


theorem inference_4 (v0 v1 : Bool) :
    ((!(((v1 && (v1 == v0)) && v0) && ((!v0) || v1))) || (v1 && v0)) = true := by
  cases v0 <;> cases v1 <;> decide


end HunterAuthored

end NetworkSources.Source15

namespace NetworkSources.Source16
-- Maclain Hunter: Allah as the Real Origin by Maclain Hunter
-- Exact authored source SHA-256: 825a4e876c0350bda734569adfc42fc52d2cd5dbc5faa02350576a38f6355cdf
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 : Bool) :
    ((!((v0 && (v0 == v1)) && v1)) || (((!v0) == (!v1)) && (v0 == v1))) = true := by
  cases v0 <;> cases v1 <;> decide


end HunterAuthored

end NetworkSources.Source16

namespace NetworkSources.Source17
-- Maclain Hunter: Ancient Myths and Logic by Maclain Hunter
-- Exact authored source SHA-256: c1bd02f277276f609a52d278980594cac39994f3d7612ba46201e231c1eff7b3
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!(((v0 && (v0 == v1)) && (v1 == v2)) && (v2 == v0))) || ((!v2) || (v0 && v1))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source17

namespace NetworkSources.Source18
-- Maclain Hunter: ASR Energy — Compiled Authored Archive
-- Exact authored source SHA-256: affe54c88438ca0b8ba3a4e3c283831099c5b78cd73ca92673c5f6545bf68a54
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && ((!v0) || v1)) && ((!v0) || v2))) || ((v0 && v1) && v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


theorem inference_2 (v0 v1 v2 : Bool) :
    ((!((v0 && ((!v0) || v1)) && ((!v1) || v2))) || ((v0 && v1) && v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


theorem inference_3 (v0 v1 v2 : Bool) :
    ((!((v0 && ((!v0) || v1)) && ((!(v0 && v1)) || v2))) || ((v0 && v1) && v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


theorem inference_4 (v0 v1 : Bool) :
    ((!(v0 && ((!v0) || v1))) || ((!((!v0) || v0)) || ((!v1) || v1))) = true := by
  cases v0 <;> cases v1 <;> decide


theorem inference_5 (v0 v1 : Bool) :
    ((!((v0 && ((!v0) || v1)) && ((!v1) || v0))) || (v0 && v1)) = true := by
  cases v0 <;> cases v1 <;> decide


theorem inference_6 (v0 v1 v2 : Bool) :
    ((!((v0 && ((!v0) || v1)) && ((!v0) || v2))) || ((!v0) || (((!v1) || v2) == ((!v2) || v1)))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


theorem inference_7 (v0 v1 v2 : Bool) :
    ((!((v0 && ((!v0) || v1)) && ((!v1) || v2))) || ((v0 && v1) && v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


theorem inference_8 (v0 v1 v2 : Bool) :
    ((!((v0 && ((!v0) || v1)) && ((!v1) || v2))) || ((v0 && v1) && v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


theorem inference_9 (v0 v1 v2 : Bool) :
    ((!((v0 && ((!v0) || v1)) && ((!v1) || v2))) || ((!v0) || (v2 == v1))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


theorem inference_11 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && ((!v0) || v1)) && ((!v1) || v2)) && ((!v2) || v3))) || ((v0 && v1) && (v2 && v3))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


theorem inference_13 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && ((!v0) || v1)) && ((!v1) || v2)) && ((!v2) || v3))) || ((v0 && v1) && (v2 && v3))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source18

namespace NetworkSources.Source19
-- Maclain Hunter: Atheism and the Axiom of Theology
-- Exact authored source SHA-256: 57f391f1c209ddf9e0b056824ed4e00d3950430140587f6c114096723fbd9795
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && v1) && v2)) || ((!(v0 && v1)) || v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source19

namespace NetworkSources.Source20
-- Maclain Hunter: Atheism and the Defined Logical Source
-- Exact authored source SHA-256: a52248eb59ad236f3fc13e1d1ab2f87c0c60c3a655bcb09bd7e194be2fafa810
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && v1) && (v2 == (v0 && v1)))) || ((!(v0 && v1)) || v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source20

namespace NetworkSources.Source21
-- Maclain Hunter: Atheism and Theos — Post-Hoc Version
-- Exact authored source SHA-256: 3f3b18ec9b2c03b1e7478e19f681866d7afe6247fcdafa2b9dc12d4f67a07e9a
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && (v0 == v1)) && ((!v1) || v2))) || ((v0 && v1) && v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source21

namespace NetworkSources.Source22
-- Maclain Hunter: Atheism, Theism, and the Axiomatic Theos
-- Exact authored source SHA-256: 279a67a58de37243a52db7dce2a230a20c05737430be6a0d3d49f0446b4fef8b
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && (v0 == v1)) && ((!v1) || v2))) || ((v0 && v1) && v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source22

namespace NetworkSources.Source23
-- Maclain Hunter: Atheism’s Illogic and the Origin’s Divinity by Maclain Hunter
-- Exact authored source SHA-256: aa7a03fbedd49c6d20e4a22eb6f670eef9d1c06b96d5e57061423a399bcb803b
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 v5 : Bool) :
    ((!(((((v0 && (v0 == v1)) && ((!v1) || v2)) && ((!v2) || v3)) && ((!v3) || v4)) && (v4 == v5))) || ((((v0 && v1) && (v2 && v3)) && v4) && v5)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> cases v5 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source23

namespace NetworkSources.Source24
-- Maclain Hunter: Atheism’s Self-Refuting Reality by Maclain Hunter
-- Exact authored source SHA-256: a16cce40a52cdd179ec1202bc4a935e1b261fecb0f65c3eba5b82775cf012657
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && ((!v0) || v1)) && ((!v1) || v2)) && (v2 == v3))) || ((v0 && v1) && (v2 && v3))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


end HunterAuthored

end NetworkSources.Source24

namespace NetworkSources.Source25
-- Maclain Hunter: Atheist’s Conscience by Maclain Hunter
-- Exact authored source SHA-256: c7423affdf55e3033246f7a0a07c363924868b03e14bf40d74803a69627bd211
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && v1) && v2) && v3)) || ((!(v0 && v1)) || ((!v2) || v3))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


end HunterAuthored

end NetworkSources.Source25

namespace NetworkSources.Source26
-- Maclain Hunter: Authored Coherence — Scientific-Test Passage
-- Exact authored source SHA-256: ed88120191b566c02879741c68095e70dcb76a2b8da62ab9d9a76f958387754b
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source26

namespace NetworkSources.Source27
-- Maclain Hunter: Authored Identity and Proof of God
-- Exact authored source SHA-256: abbc31c5998e8c9410c79bcd8acffc04fb60d902bf6901a8ce06bcd6f81bfa14
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && v1) && ((!(v0 && v1)) || v2))) || ((!v2) || (v0 && v1))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source27

namespace NetworkSources.Source28
-- Maclain Hunter: Authored Identity Form — Supplied Version
-- Exact authored source SHA-256: 28dc078efee8229fd55be16a33bcbb2902c7ff94171c38e74b5029d4808ba0c0
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 : Bool) :
    ((!(v0 && ((!v0) || v1))) || ((!(v0 == ((!v0) || (!((!v0) || (!v0)))))) || (v1 == v0))) = true := by
  cases v0 <;> cases v1 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source28

namespace NetworkSources.Source29
-- Maclain Hunter: Authored Identity Form and Necessary Reason
-- Exact authored source SHA-256: 1ee9bfc60fe9f5498fda7302b03f20aa34700dfa0303fbfde59d59274eebdca7
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 : Bool) :
    ((!(v0 && ((!v0) || v1))) || ((!(v0 == ((!v0) || (!((!v0) || (!v0)))))) || (v1 == v0))) = true := by
  cases v0 <;> cases v1 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source29

namespace NetworkSources.Source30
-- Maclain Hunter: Authored Logos and Christian Standing
-- Exact authored source SHA-256: 4c83f85b271c63c9f6b2374b5c06d05c9f1c46cfdee6bce15d91867290fb998d
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!(((v0 && ((!v0) || v1)) && v2) && ((!v2) || v1))) || ((!(v0 && v2)) || v1)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source30

namespace NetworkSources.Source31
-- Maclain Hunter: Belief in God (Logos) is Knowledge by Maclain Hunter
-- Exact authored source SHA-256: 20c588b2fa05694cbca0c8c56bb0734cbacf87b98c0d44a6247eeca021d99567
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 : Bool) :
    ((!(((((v0 && ((!v0) || v1)) && (v1 == v2)) && ((!v2) || v0)) && ((!v0) || v3)) && ((!v3) || v4))) || ((((v0 && v1) && v2) && v3) && v4)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source31

namespace NetworkSources.Source32
-- Maclain Hunter: Bell's Theorem and Global Coherence
-- Exact authored source SHA-256: 1a30ae6ac9e576ea4ea55dd7efbb117d5bfbd0056101d7d21c78e0521fb92740
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && ((!v0) || v1)) && ((!v1) || v2))) || v2) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source32

namespace NetworkSources.Source33
-- Maclain Hunter: Biblical Logos and Absolute Truth
-- Exact authored source SHA-256: 76cb25e159eaff56b70aeff064bba87d2b51fcd3fbc679fcccc7f8a3549138d5
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && (v0 == v1)) && (v1 == v2))) || ((v0 && v1) && v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source33

namespace NetworkSources.Source34
-- Maclain Hunter: Bivalence, Energy, and Computation
-- Exact authored source SHA-256: 51368b336331de722a146973269813517b07b8aba84b459267271058a4b28ca2
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!(((!v0) || v1) && ((!v0) || v2))) || ((!v0) || (((!v1) || v2) == ((!v2) || v1)))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source34

namespace NetworkSources.Source35
-- Maclain Hunter: Burden and Presupposition by Maclain Hunter
-- Exact authored source SHA-256: 85054e2b0b77fcf202b6be4750220b0dd7f50cceb76b7b068103cc0590c22f9c
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && (v0 == v1)) && (v1 == v2)) && (v2 == v3))) || ((!(v0 && v1)) || (v2 && v3))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


end HunterAuthored

end NetworkSources.Source35

namespace NetworkSources.Source36
-- Maclain Hunter: Certainty From Paradoxical Dichotomy by Maclain Hunter
-- Exact authored source SHA-256: 29663959483f1e24f8d156113d897a439940ba48211c0783c5b8e88a1797b0f8
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 : Bool) :
    ((!(v0 == v0)) || (((v0 || (!v0)) && (v0 == (!(!v0)))) && (((!v0) || v0) && ((!(!v0)) || (!v0))))) = true := by
  cases v0 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source36

namespace NetworkSources.Source37
-- Maclain Hunter: Certainty From Paradoxical Dichotomy by Maclain Hunter — directly pasted concise copy
-- Exact authored source SHA-256: a4ecaa002731dd17956817c2835b3e4dc01ae6f694a4f5ad3187b8f5577386af
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 : Bool) :
    ((!(v0 == v0)) || (v0 || (!v0))) = true := by
  cases v0 <;> decide


end HunterAuthored

end NetworkSources.Source37

namespace NetworkSources.Source38
-- Maclain Hunter: CH, Set Identity, and Axiomatic Logic
-- Exact authored source SHA-256: 89b07f0baabcfe1b6518306e58ae5c4da75df51e58367187132d58f25c21bb35
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && ((!v0) || v1)) && ((!v1) || v2)) && ((!v2) || v3))) || ((v0 && v1) && (v2 && v3))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source38

namespace NetworkSources.Source39
-- Maclain Hunter: Christian Logos and Modal Coherence
-- Exact authored source SHA-256: 865fbcba6923e255bfe1983dac09622fbdcfa666c6124eab325da820470ecf85
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 : Bool) :
    ((!(v0 && (v0 && (!(!v0))))) || ((!v0) || (v0 == (!(v0 && (!v0)))))) = true := by
  cases v0 <;> decide


end HunterAuthored

end NetworkSources.Source39

namespace NetworkSources.Source40
-- Maclain Hunter: Coherence and Debate Victory
-- Exact authored source SHA-256: 5149d678294acfb9ede01b25758614595f4798741f937a6b16035e36b6320277
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && v1) && v2)) || ((!((!v1) || v2)) || v0)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source40

namespace NetworkSources.Source41
-- Maclain Hunter: Coherence as Ultimate Wealth
-- Exact authored source SHA-256: b27d8118921334cc2ebbaa38a1e49803e3e77a5f5f7a861f46bb2db39d1a9b50
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!(((!v0) || v1) && ((!(v0 && v1)) || v2))) || ((!v0) || ((!v0) || (v1 == v2)))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source41

namespace NetworkSources.Source42
-- Maclain Hunter: Coherent Formal Systems of Logic
-- Exact authored source SHA-256: cef48cfcdae0b2bf9459c1767deca1dcb90f633b162a5c582a1aa30182e85aad
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!(((v0 && ((!v0) || v1)) && v2) && ((!v2) || v1))) || ((!v1) == (!(v0 && v2)))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source42

namespace NetworkSources.Source43
-- Maclain Hunter: Coherent Personal Agency and Logic
-- Exact authored source SHA-256: d2ca49aec4057c870900d7309ee6034bb6613dc893fb2498cfef7826ba822cd8
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && v1) && ((!(v0 && v1)) || v2))) || ((v0 && v1) && v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source43

namespace NetworkSources.Source44
-- Maclain Hunter: Coherent Reality, Reason, Rationality, and Logic by Maclain Hunter
-- Exact authored source SHA-256: 6ab10bb1148cb3c6112530df710e5aecca69dce8a9dee67e1644db83222ce561
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 v5 : Bool) :
    ((!(((((((v0 && v1) && v2) && v3) && v4) && ((!v4) || v5)) && (v0 == v4)) && ((!v0) || v5))) || ((((v0 && v1) && (v2 && v3)) && v4) && v5)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> cases v5 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source44

namespace NetworkSources.Source45
-- Maclain Hunter: Coherent Religion and the Superhuman Origin
-- Exact authored source SHA-256: 4e00f873701c30e55c8c729f1337937777ce33c66bb5f3eb5fd7a935c42af54c
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && ((!v0) || v1)) && ((!v1) || v2)) && ((!v2) || v3))) || ((v3 == v2) == (v1 == v0))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


end HunterAuthored

end NetworkSources.Source45

namespace NetworkSources.Source46
-- Maclain Hunter: Coherent Theism and Exclusions
-- Exact authored source SHA-256: 3a18e1134c18fa1ef920188f7dce13266be49fc5b70ecb9c8dac04f3159c3b39
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((((v0 && v1) && v2) && ((!v0) || v1)) && ((!v0) || (!v2)))) || ((!((v0 && v1) && (!(v0 && (!v1))))) || (!v2))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source46

namespace NetworkSources.Source47
-- Maclain Hunter: Concise Proof and Process
-- Exact authored source SHA-256: 44673fdcba91c87c6a4722cf09d4574e32fbdcf68fd5e38cee5529855b81d199
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 v5 : Bool) :
    ((!(((((((v0 && ((!v0) || v1)) && ((!v1) || v2)) && ((!v2) || v3)) && ((!v3) || v4)) && ((!v4) || v5)) && ((!v5) || v0)) && (!((((((!v0) && (!v1)) && (!v2)) && (!v3)) && (!v4)) && (!v5))))) || ((((v0 && v1) && (v2 && v3)) && v4) && v5)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> cases v5 <;> decide


end HunterAuthored

end NetworkSources.Source47

namespace NetworkSources.Source48
-- Maclain Hunter: Conditional Determinism
-- Exact authored source SHA-256: 6cb8cd31364ff39227ce4abbd13e669a242c6a1bb7ba6a1cdec2c23a2553ae53
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem conditional_returns_declared_branch {α : Type} (condition : Bool) (t e : α) :
    (if condition then t else e) = t ∨ (if condition then t else e) = e := by
  cases condition
  · exact Or.inr rfl
  · exact Or.inl rfl


end HunterAuthored

end NetworkSources.Source48

namespace NetworkSources.Source49
-- Maclain Hunter: Conditional Determinism
-- Exact authored source SHA-256: d17a3726a9531ad56a817bc94a22f0200baa806232abd05e31238c3b3d0fb2c9
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem conditional_returns_declared_branch {α : Type} (condition : Bool) (t e : α) :
    (if condition then t else e) = t ∨ (if condition then t else e) = e := by
  cases condition
  · exact Or.inr rfl
  · exact Or.inl rfl


end HunterAuthored

end NetworkSources.Source49

namespace NetworkSources.Source50
-- Maclain Hunter: Consistency and Completeness by Maclain Hunter
-- Exact authored source SHA-256: 53d97c616c1c1e3268b8200c603e7bdee76d092ce2327c43e3f353043b8859a1
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 : Bool) :
    ((!((((v0 && ((!v0) || v1)) && ((!v1) || v2)) && ((!v2) || v3)) && ((!v3) || v4))) || ((!(((v0 && v1) && v2) == v3)) || v4)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> decide


end HunterAuthored

end NetworkSources.Source50

namespace NetworkSources.Source51
-- Maclain Hunter: Debunking Maxwell’s Demon
-- Exact authored source SHA-256: 0c9519b04feccba16361930ca28f487527e873969d45c94bed04b8bfba81f1b5
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v1 && ((!v1) || v2)) && ((!v2) || v0))) || ((v1 && v2) && v0)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


theorem inference_2 (v0 v1 v2 : Bool) :
    ((!(((!v1) && ((!(!v1)) || (!v2))) && ((!(!v2)) || (!v0)))) || (((!v1) && (!v2)) && (!v0))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source51

namespace NetworkSources.Source52
-- Maclain Hunter: Defined God and Logical Existence
-- Exact authored source SHA-256: 26a62e24ed847d0269e33606e3d1b50634b5084d20622dc6aceaed71349c7b78
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && v1) && v2)) || ((v0 && v1) && v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source52

namespace NetworkSources.Source53
-- Maclain Hunter: Definitions, Etymology, and Elaborations by Maclain Hunter
-- Exact authored source SHA-256: 07b9543282b18ff702fc6572091d26ac21947aacefd4bfa4f611cbb43a5b358d
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 v5 : Bool) :
    ((!((((((v0 && (v0 == v1)) && (v1 == v2)) && (v2 == v3)) && (v3 == v4)) && (v4 == v5)) && ((!v5) || v0))) || ((((v0 && v1) && (v2 && v3)) && v4) && v5)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> cases v5 <;> decide


end HunterAuthored

end NetworkSources.Source53

namespace NetworkSources.Source54
-- Maclain Hunter: Degree from the University of Universal Logic — Educational Attainment Proposal
-- Exact authored source SHA-256: 9a41f0f18e6b5e890f2220b2b9d3f8a618a3cc29ada1e449f6d12a07cd10e1f6
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 v5 v6 : Bool) :
    ((!((((((v0 && v1) && v2) && v3) && v4) && v5) && v6)) || (((((v0 && v1) && (v2 && v3)) && v4) && v5) && v6)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> cases v5 <;> cases v6 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source54

namespace NetworkSources.Source55
-- Maclain Hunter: Deism and Monism
-- Exact authored source SHA-256: 42dfff34480899af01791f49b63cdfb1ad06dac3846267c1f696728b55c4ae44
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 : Bool) :
    ((!(v0 && v1)) || (v0 == v1)) = true := by
  cases v0 <;> cases v1 <;> decide


end HunterAuthored

end NetworkSources.Source55

namespace NetworkSources.Source56
-- Maclain Hunter: Demonstrated Logical Knowledge and Standing
-- Exact authored source SHA-256: d6c7404169b6a28234c29ed39dc4c0436be7efa23d641f94b3690c2f9ec5a25f
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && ((!v0) || v1)) && ((!v1) || v2))) || ((v0 && v1) && v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source56

namespace NetworkSources.Source57
-- Maclain Hunter: Disproving Universal and Physical Uncertainty
-- Exact authored source SHA-256: f9225f4080a53780e1a02ea7230fe0edbd1c47ae762688fbf2279f596c6762d3
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 : Bool) :
    ((!((((v0 && ((!v0) || v1)) && ((!v1) || v2)) && ((!v2) || v3)) && ((!v3) || v4))) || ((((v0 && v1) && v2) && v3) && v4)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source57

namespace NetworkSources.Source58
-- Maclain Hunter: Dynamic Universal Proof (Theorem of Logos)
-- Exact authored source SHA-256: 3211b94553de18d44a03499c2520280e79bdce290d4514c484e07bde354de1b1
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

structure LogicalGround where
  identity : ∀ (α : Type), ∀ a : α, a = a
  noncontradiction : ∀ p : Prop, p → (p → False) → False
  implication : ∀ p q : Prop, p → (p → q) → q
  excludedMiddle : ∀ b : Bool, b = true ∨ b = false
def constructiveLogos : LogicalGround where
  identity := fun _ _ => rfl
  noncontradiction := fun _ hp hn => hn hp
  implication := fun _ _ hp h => h hp
  excludedMiddle := fun b => by cases b; exact Or.inr rfl; exact Or.inl rfl
def necessary {World : Type} (access : World → World → Prop) (claim : World → Prop) (w : World) :=
  ∀ v : World, access w v → claim v
theorem logical_ground_necessary_existence {World : Type} (access : World → World → Prop)
    (w : World) (_unfixed : List Prop) :
    necessary access (fun _ => Nonempty LogicalGround) w :=
  fun _ _ => ⟨constructiveLogos⟩


end HunterAuthored

end NetworkSources.Source58

namespace NetworkSources.Source59
-- Maclain Hunter: Dynamic Universal Proof (Theorem of Logos)
-- Exact authored source SHA-256: 338267a329307016b7a72b93b7e969e2ce8b5f861a8efdc957f18075c71c70ba
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

structure LogicalGround where
  identity : ∀ (α : Type), ∀ a : α, a = a
  noncontradiction : ∀ p : Prop, p → (p → False) → False
  implication : ∀ p q : Prop, p → (p → q) → q
  excludedMiddle : ∀ b : Bool, b = true ∨ b = false
def constructiveLogos : LogicalGround where
  identity := fun _ _ => rfl
  noncontradiction := fun _ hp hn => hn hp
  implication := fun _ _ hp h => h hp
  excludedMiddle := fun b => by cases b; exact Or.inr rfl; exact Or.inl rfl
def necessary {World : Type} (access : World → World → Prop) (claim : World → Prop) (w : World) :=
  ∀ v : World, access w v → claim v
theorem logical_ground_necessary_existence {World : Type} (access : World → World → Prop)
    (w : World) (_unfixed : List Prop) :
    necessary access (fun _ => Nonempty LogicalGround) w :=
  fun _ _ => ⟨constructiveLogos⟩


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source59

namespace NetworkSources.Source60
-- Maclain Hunter: Empirical Coherence and Physical Fields
-- Exact authored source SHA-256: 53274b474ec6bb4b4ea37aeb9f70cc6ff813ffa476d074ff432ff5a8fbb137bf
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_2 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && ((!v0) || v1)) && ((!v1) || v2)) && ((!v2) || v3))) || ((!v0) || ((v1 && v2) && v3))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


end HunterAuthored

end NetworkSources.Source60

namespace NetworkSources.Source61
-- Maclain Hunter: Empirically Observable Formal Proof
-- Exact authored source SHA-256: 51405d6ea3d3bb5365b0743d0cc94c06db86a714311f14e3081ff3f09ccd3d30
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && v1) && (v2 == (v0 && v1)))) || ((v0 && v1) && v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source61

namespace NetworkSources.Source62
-- Maclain Hunter: Empiricism and Existentialism
-- Exact authored source SHA-256: 0f10aac200c9c81352300cbf555d3a197cf74068eac77b1affef183bb8acaddd
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 : Bool) :
    ((!(v0 && v1)) || (v0 && v1)) = true := by
  cases v0 <;> cases v1 <;> decide


end HunterAuthored

end NetworkSources.Source62

namespace NetworkSources.Source63
-- Maclain Hunter: Ergot, Ergotamine, LSD, and God by Maclain Hunter
-- Exact authored source SHA-256: a9cfd725c8a517493df5a1b232fad6800ef0e4fc3397dd624288cc6e45afe766
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 : Bool) :
    ((!((((v0 && v1) && v2) && v3) && v4)) || (((!(v0 && v1)) || (v2 && v3)) == v4)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> decide


theorem inference_4 (v0 v1 : Bool) :
    ((!(v0 && v1)) || ((v0 == v1) == (v1 == v0))) = true := by
  cases v0 <;> cases v1 <;> decide


end HunterAuthored

end NetworkSources.Source63

namespace NetworkSources.Source64
-- Maclain Hunter: Essential Logic and Extraterrestrial Life by Maclain Hunter
-- Exact authored source SHA-256: 7db27ad944499d4f80c7068b099cdc463bec8fa2be8d9747bc0687ed6c90f41e
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source64

namespace NetworkSources.Source65
-- Maclain Hunter: Everything is Proof by Maclain Hunter
-- Exact authored source SHA-256: 0550ab97e05f6295c562b6ca710f0f354754ea2ef0d58758bbeb6b6a8b112215
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && v1) && v2)) || ((v0 && v1) == ((!v2) || (v0 == v1)))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source65

namespace NetworkSources.Source66
-- Maclain Hunter: Evidence Requires Logic by Maclain Hunter
-- Exact authored source SHA-256: a9a7aefc5ea45036d8698113400a74cd2413da18f05c51608ce45a69275ec159
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && ((!v0) || v1)) && ((!v1) || v2)) && (v2 == v3))) || ((!(v0 && v1)) || (v2 && v3))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


end HunterAuthored

end NetworkSources.Source66

namespace NetworkSources.Source67
-- Maclain Hunter: Exploring Concepts of Nothing and Nowhere by Maclain Hunter
-- Exact authored source SHA-256: 04b55541939a50d8cde70951ac6429052ada570ec761b07c636e81ba594d6ee2
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 : Bool) :
    ((!(((((v0 && v1) && (v0 == v1)) && (v1 == v0)) && v1) && v0)) || ((v0 && v1) == (v1 && v0))) = true := by
  cases v0 <;> cases v1 <;> decide


end HunterAuthored

end NetworkSources.Source67

namespace NetworkSources.Source68
-- Maclain Hunter: Exploring Meaning’s Necessary Logical Roots
-- Exact authored source SHA-256: 12affa34df528b362083a2443ecfb29b3acd7a45b74f1b053007dad426ef51b0
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 : Bool) :
    ((!(v0 && ((!v0) || v1))) || (v0 && v1)) = true := by
  cases v0 <;> cases v1 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source68

namespace NetworkSources.Source69
-- Maclain Hunter: Exposing Euthyphro’s False Dilemma by Maclain Hunter
-- Exact authored source SHA-256: 8994f9181db94dbbb052da3b22d34d69efc7aceaf126f793da53dacf22842d2c
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 : Bool) :
    ((!((((v0 && ((!v0) || v1)) && ((!v1) || v2)) && ((!v2) || v3)) && ((!v3) || v4))) || (((v0 && v1) && (v2 && v3)) && v4)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> decide


end HunterAuthored

end NetworkSources.Source69

namespace NetworkSources.Source70
-- Maclain Hunter: Fallacy and Loyalty to Reason
-- Exact authored source SHA-256: 11c6af737c0309c30a640040380267bfaa3e17e265474cc318c9ec0b109ab4e0
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && v1) && ((!(v0 && v1)) || v2))) || ((v0 && v1) && v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source70

namespace NetworkSources.Source71
-- Maclain Hunter: Finite and Infinite Logos
-- Exact authored source SHA-256: 5bb6fe337f8531e874f96faf9b88fbda12ef8c49a1319d34a7e7074876ad2879
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((!v0) || v0)) || (((!v0) || v0) && (((!v1) || v1) && ((!v2) || v2)))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source71

namespace NetworkSources.Source72
-- Maclain Hunter: Finite Selves and True Logical Essence
-- Exact authored source SHA-256: f30f4ce8edabe217817c635f0d3eca727dae4e4b0fd4c3b58f8a611fdc66eaa7
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && ((!v0) || v1)) && ((!v1) || v2))) || ((!(v0 && v2)) || v1)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source72

namespace NetworkSources.Source73
-- Maclain Hunter: Fixing Atheist Illogic by Maclain Hunter
-- Exact authored source SHA-256: 1edb6c40f523e259f512cc6a9dea63ecc22e187c1ce01db1f20db4a70af3f40f
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 v5 v6 v7 v8 v9 : Bool) :
    ((!(((((((((v0 && v1) && v2) && v3) && v4) && v5) && v6) && v7) && v8) && v9)) || (((((((((v0 && v1) && v2) && v3) && v4) && v5) && v6) && v7) && v8) && v9)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> cases v5 <;> cases v6 <;> cases v7 <;> cases v8 <;> cases v9 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source73

namespace NetworkSources.Source74
-- Maclain Hunter: Formal Proofs of Logos Existence — Compilation
-- Exact authored source SHA-256: 41f8de25f712f955ffff88ab73901737fba449f99bfd2afcad150104d1164ec3
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 v5 : Bool) :
    ((!(((((((v0 && ((!v0) || v1)) && ((!v1) || v2)) && ((!v2) || v3)) && ((!v3) || v4)) && ((!v4) || v5)) && ((!v5) || v0)) && (!((((((!v0) && (!v1)) && (!v2)) && (!v3)) && (!v4)) && (!v5))))) || ((((v0 && v1) && (v2 && v3)) && v4) && v5)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> cases v5 <;> decide


end HunterAuthored

end NetworkSources.Source74

namespace NetworkSources.Source75
-- Maclain Hunter: Foundation, Universal Law, and Interpretation
-- Exact authored source SHA-256: 93a323252d9a564b1fdfa2873f426d76ec74e61e6bc9b7c2bc2885e25c69556e
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!(((v0 && v1) && v2) && (((!v0) || v1) && v2))) || ((v1 && v2) == v0)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source75

namespace NetworkSources.Source76
-- Maclain Hunter: Four Proofs (4P)
-- Exact authored source SHA-256: 81c9017e1f76d7211ebd691bf5fddf67038d86d994d408a64b382cf885b26449
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_2 (v0 v1 v2 : Bool) :
    ((!((v0 && ((!v0) || v1)) && ((!v1) || v2))) || ((v0 && v1) && v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


theorem inference_4 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && v1) && v2) && v3)) || ((v0 && v1) == (v2 && v3))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


theorem inference_5 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && ((!v0) || v1)) && ((!v1) || v2)) && ((!v2) || v3))) || ((v0 && v1) && (v2 && v3))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source76

namespace NetworkSources.Source77
-- Maclain Hunter: Fourth Sieve
-- Exact authored source SHA-256: b80b158ee2aa10a6f371fad67e68fa558d38b6d878f9c0d1a0169ad383a6a4fa
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 == v1) && (v1 == v2))) || ((!v2) || (v1 == v0))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source77

namespace NetworkSources.Source78
-- Maclain Hunter: G6 Doctrine Enforcement
-- Exact authored source SHA-256: 527f9fe4a2505ffe0de19be5d6e6dcdaad48e54b6afa6129fd232e100e869704
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

structure DoctrineUnit where
  value : Int
  coherent : Bool
  lawful : Bool
def affirmedG6 (u : DoctrineUnit) : DoctrineUnit := {u with coherent := true, lawful := true}
theorem g6_assignment_enforcement (u : DoctrineUnit) :
    (affirmedG6 u).coherent = true ∧ (affirmedG6 u).lawful = true :=
  ⟨rfl, rfl⟩


end HunterAuthored

end NetworkSources.Source78

namespace NetworkSources.Source79
-- Maclain Hunter: G6 Doctrine Enforcement
-- Exact authored source SHA-256: 7a794c0c41a47495b13da8fcac8c485bc2d3e43d4be26ef854ed46d7c01db91d
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

structure DoctrineUnit where
  value : Int
  coherent : Bool
  lawful : Bool
def affirmedG6 (u : DoctrineUnit) : DoctrineUnit := {u with coherent := true, lawful := true}
theorem g6_assignment_enforcement (u : DoctrineUnit) :
    (affirmedG6 u).coherent = true ∧ (affirmedG6 u).lawful = true :=
  ⟨rfl, rfl⟩


end HunterAuthored

end NetworkSources.Source79

namespace NetworkSources.Source80
-- Maclain Hunter: Get That Gish Out of Here by Maclain Hunter
-- Exact authored source SHA-256: 46d1beecbb50be0b33ea01f023d4b1239ed97c71c35ae1b96a056522991e7f49
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 : Bool) :
    ((!((((v0 && (v0 == v1)) && (v1 == v2)) && (v2 == v3)) && v3)) || ((v0 && v1) && (v2 && v3))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


end HunterAuthored

end NetworkSources.Source80

namespace NetworkSources.Source81
-- Maclain Hunter: God as the Origin of Logic and Reality by Maclain Hunter
-- Exact authored source SHA-256: acecf78f3efffb81bd0c1a213cd730ee4b74b7bede74ca1bc2d7aa20191e9e71
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && (v0 == v1)) && (v1 == v2))) || ((v0 && v1) == v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source81

namespace NetworkSources.Source82
-- Maclain Hunter: God as Ultimate Reality
-- Exact authored source SHA-256: 1379deef58ba1b312c97232db4fdd78da66e67161c1b25e17325b0a54cecbd9e
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && ((!v0) || v1)) && ((!v1) || v2))) || ((!(v0 && v1)) || v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source82

namespace NetworkSources.Source83
-- Maclain Hunter: God Defines Judaism by Maclain Hunter
-- Exact authored source SHA-256: 2b8f6bea49d36b0bc08605ad42b63142f1e71e2fb8ffd5d01fdc54b5c78f55e8
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 v5 : Bool) :
    ((!(((((v0 && v1) && v2) && v3) && v4) && v5)) || (((v0 && v1) == (v2 && v3)) == (v4 && v5))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> cases v5 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source83

namespace NetworkSources.Source84
-- Maclain Hunter: God, Attributes, and the Standard of Reality
-- Exact authored source SHA-256: a29892cf27f2abb1c41240d9f35a31f6a10d8850956735a90348baa0a0b43536
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && v1) && (v2 == (v0 && v1)))) || (((!v2) || v0) && ((!v0) || v1))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source84

namespace NetworkSources.Source85
-- Maclain Hunter: God, Coherence, and Chaos
-- Exact authored source SHA-256: 443b103f0f8406555a02b82d2af0e8be3a8a4b19cabfe6e5fd523cd1b97f9c65
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 : Bool) :
    ((!(v0 && (v0 == v0))) || (v0 == ((!v0) || (!((!v0) || (!v0)))))) = true := by
  cases v0 <;> decide


end HunterAuthored

end NetworkSources.Source85

namespace NetworkSources.Source86
-- Maclain Hunter: God, Non-Dual Reality, and Personhood
-- Exact authored source SHA-256: 8d674ea410108de8529e8e27abb415c20a622e7deae9f6b079c31304d1e22b2b
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 : Bool) :
    ((!(((v2 && ((!v2) || v1)) && ((!(v2 && v1)) || v3)) && ((!v3) || v0))) || v0) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


end HunterAuthored

end NetworkSources.Source86

namespace NetworkSources.Source87
-- Maclain Hunter: God's Identity and Nothing's Identity
-- Exact authored source SHA-256: c9d7f50c7de022d9389528e115bf2c3d7cdab75b42e84a2d1625b048726e5b05
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 : Bool) :
    ((!(v0 && (v0 == v1))) || (v0 && v1)) = true := by
  cases v0 <;> cases v1 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source87

namespace NetworkSources.Source88
-- Maclain Hunter: God’s Rational Existence and Definition by Maclain Hunter
-- Exact authored source SHA-256: 288d3e726bcb02ef352ebdff481057b50f84c908006522b511dbe27442a8f0d6
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 v5 : Bool) :
    ((!(((((v0 && (v0 == v1)) && (v1 == v2)) && (v2 == v3)) && (v3 == v4)) && (v4 == v5))) || ((((v0 && v1) && (v2 && v3)) && v4) && v5)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> cases v5 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source88

namespace NetworkSources.Source89
-- Maclain Hunter: Gödelian Incompleteness and Logical Limits
-- Exact authored source SHA-256: f29ab386aaaf68b94bd6ab90797b785a689b0b89483ae745bb8d0c035611a062
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!(((v0 && v1) && v2) && ((!v2) || (!(v0 && v1))))) || ((!v0) || (v1 && v2))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source89

namespace NetworkSources.Source90
-- Maclain Hunter: Good Faith and Logical Argumentation
-- Exact authored source SHA-256: c923bd108d9d7c120c3b01176c42753b8aa79720a2d7d12fc11b6601c588de2b
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((((v0 && (v0 == v1)) && v2) && ((!v2) || v1)) && v1)) || ((v0 && v1) && v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source90

namespace NetworkSources.Source91
-- Maclain Hunter: Grand Loop — Further Supplied Version
-- Exact authored source SHA-256: f5be1915132bb0fed4f0ba5c0581001c511aaec7637f370a738a11cd4f54f49c
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 v5 : Bool) :
    ((!(((((((v0 && ((!v0) || v1)) && ((!v1) || v2)) && ((!v2) || v3)) && ((!v3) || v4)) && ((!v4) || v5)) && ((!v5) || v0)) && (!((((((!v0) && (!v1)) && (!v2)) && (!v3)) && (!v4)) && (!v5))))) || ((((v0 && v1) && (v2 && v3)) && v4) && v5)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> cases v5 <;> decide


end HunterAuthored

end NetworkSources.Source91

namespace NetworkSources.Source92
-- Maclain Hunter: Grounded FOL and FCL
-- Exact authored source SHA-256: 72e9a6f90ae7c26f3c80bf7dbdfddf0d5d8718ba39661e57fe541d53b7b8022f
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 : Bool) :
    ((!((((v0 && ((!v0) || v1)) && ((!v1) || v2)) && ((!v2) || v3)) && ((!v3) || v4))) || v4) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> decide


end HunterAuthored

end NetworkSources.Source92

namespace NetworkSources.Source93
-- Maclain Hunter: How I Know God by Maclain Hunter
-- Exact authored source SHA-256: 70e0a0e91d7606b76bbbdeabd1475ace938ec653466dc1dea454735c439b0550
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 : Bool) :
    ((!((((v0 && (v0 == v1)) && (v1 == v2)) && (v2 == v3)) && (v3 == v4))) || (((v0 && v1) && (v2 && v3)) && v4)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> decide


end HunterAuthored

end NetworkSources.Source93

namespace NetworkSources.Source94
-- Maclain Hunter: How Motion Works by Maclain Hunter
-- Exact authored source SHA-256: 9950aaebefe3419b08b0a7dff00badecb9ac26a58654dfba612c02c54c4322b1
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && ((!v0) || v1)) && ((!v1) || v2)) && ((!v2) || v3))) || ((v0 && v1) && (v2 && v3))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


end HunterAuthored

end NetworkSources.Source94

namespace NetworkSources.Source95
-- Maclain Hunter: Human Reason and Reason in General by Maclain Hunter
-- Exact authored source SHA-256: c39682eb4f641a7b5fec230117a2cc4ef401fd043097e24706cf3e07f8fbc5c7
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && v1) && v2) && v3)) || ((v0 && v1) && (v2 && v3))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


end HunterAuthored

end NetworkSources.Source95

namespace NetworkSources.Source96
-- Maclain Hunter: Humanity vs Reason by Maclain Hunter
-- Exact authored source SHA-256: 6e45456fb7a8cfaff5c52477d768f328f66f15eddb0f3c82a0d20aab519e9a55
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && (v0 == v1)) && (v1 == v2)) && (v2 == v3))) || ((v3 == v2) == (v1 == v0))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


end HunterAuthored

end NetworkSources.Source96

namespace NetworkSources.Source97
-- Maclain Hunter: Hunter vs Musk and the Traditional Economy by Maclain Hunter
-- Exact authored source SHA-256: 8a44ab5809569b2269609e54130d3fddfa3c8315e42fded24a581bdaf30b419d
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 : Bool) :
    ((!(((((v0 && ((!v0) || v1)) && ((!v1) || v2)) && v3) && (v0 == v4)) && ((!v4) || v3))) || ((!v4) || ((v0 && v1) && (v2 && v3)))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> decide


end HunterAuthored

end NetworkSources.Source97

namespace NetworkSources.Source98
-- Maclain Hunter: I Am and the Coherent Mind
-- Exact authored source SHA-256: 10f398c166d40adb32d2e113d07509ea4a84a4dc62be441216da6be7c9d71d5a
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!(((v0 && ((!v0) || v1)) && v2) && ((!v2) || (v0 && v1)))) || v1) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source98

namespace NetworkSources.Source99
-- Maclain Hunter: I Know That I Know by Maclain Hunter
-- Exact authored source SHA-256: 66da156b9ffc1d8df6bdd62f42eb505647ea768dcf457b9fe3a43d44c9a0eb67
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_2 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && (v0 == v1)) && (v1 == v2)) && (v2 == v3))) || ((v0 && v1) && (v2 && v3))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


end HunterAuthored

end NetworkSources.Source99

namespace NetworkSources.Source100
-- Maclain Hunter: I Know What I Know
-- Exact authored source SHA-256: 12f5f948d2056192604f880f1ebadebdfbe1ecc977e8348e2bf4241fcb3a8de5
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source100

namespace NetworkSources.Source101
-- Maclain Hunter: I’m Right Either Way by Maclain Hunter
-- Exact authored source SHA-256: a1a16f737841150113369739daa40509edd776104847e647619776be448b1a77
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && v1) && v2)) || ((!(v1 == v0)) || v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source101

namespace NetworkSources.Source102
-- Maclain Hunter: Idealism and Grounded Duality
-- Exact authored source SHA-256: f352aee2314f8e96c92a599555e09f202808f2a361bb169f6c4ea839fd41c7ab
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 : Bool) :
    ((!(v0 && v1)) || (v0 && v1)) = true := by
  cases v0 <;> cases v1 <;> decide


end HunterAuthored

end NetworkSources.Source102

namespace NetworkSources.Source103
-- Maclain Hunter: If, Then, But, Since
-- Exact authored source SHA-256: d5d605ddc507120a8697c591af1ae2d6c03ad84b39a8415dc01c3548cac69754
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 : Bool) :
    ((!((((v1 == v0) && (!v0)) && ((!(!v0)) || v2)) && (v2 == v3))) || (((!v0) && (!v1)) && (v2 && v3))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source103

namespace NetworkSources.Source104
-- Maclain Hunter: Incoherent God <-> Incoherent Thought by Maclain Hunter
-- Exact authored source SHA-256: e1964227dd6675790c67d62efb1a7232d540ecfbd6e2977b44cf55fb68cd1626
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 : Bool) :
    ((!(((((v0 && ((!v0) || v1)) && v2) && ((!v2) || v0)) && v3) && ((!v3) || v0))) || ((v0 && v1) && (v2 && v3))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


end HunterAuthored

end NetworkSources.Source104

namespace NetworkSources.Source105
-- Maclain Hunter: Infinite Cause, Dynamic Reality, and the Axiom of Logic
-- Exact authored source SHA-256: 68d262bdd1cd10a84662e97e1bd7f3dbaafa58e0901c474a9772597e9e719f57
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && v2) && v1)) || ((v0 == v2) == v1)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


theorem inference_2 (v0 v1 v2 : Bool) :
    ((!((v0 && v1) && v2)) || ((v0 == v1) == v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source105

namespace NetworkSources.Source106
-- Maclain Hunter: Information Based Proof of Origin by Maclain Hunter
-- Exact authored source SHA-256: 4a128d061214c71b5daf72d3e0cb4a81b02e4565d9932076473b7de4a5cce9c5
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!(((((v0 && (v0 == v1)) && v2) && ((!v2) || v0)) && ((!v2) || v1)) && v1)) || ((v0 && v1) && v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source106

namespace NetworkSources.Source107
-- Maclain Hunter: Interpretation is Logic by Maclain Hunter
-- Exact authored source SHA-256: a97743fe3fe9e01cfff137eee01276298317522676a5e5dc02a46774ef414cc7
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 : Bool) :
    ((!((v0 && ((!v0) || v1)) && v1)) || (v0 && v1)) = true := by
  cases v0 <;> cases v1 <;> decide


end HunterAuthored

end NetworkSources.Source107

namespace NetworkSources.Source108
-- Maclain Hunter: Invariant Tautological Fragment by Maclain Hunter
-- Exact authored source SHA-256: 1bc75a70dfc26a2e7623c9982890ba0556e0b8ba4a2dcb125ea9fd47c6e10dd8
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 v5 : Bool) :
    ((!(((((v0 && v1) && v2) && v3) && v4) && v5)) || (((((v0 && v1) && v2) && v3) && v4) && v5)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> cases v5 <;> decide


theorem inference_2 (v0 v1 v2 v3 v4 v5 : Bool) :
    ((!(((((v0 && v1) && v2) && v3) && v4) && v5)) || (((((v0 && v1) && v2) && v3) && v4) && v5)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> cases v5 <;> decide


theorem inference_3 (v0 v1 v2 v3 v4 v5 : Bool) :
    ((!(((((v0 && v1) && v2) && v3) && v4) && v5)) || (((((v0 && v1) && v2) && v3) && v4) && v5)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> cases v5 <;> decide


theorem inference_4 (v0 v1 v2 v3 v4 v5 : Bool) :
    ((!(((((v0 && v1) && v2) && v3) && v4) && v5)) || (((((v0 && v1) && v2) && v3) && v4) && v5)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> cases v5 <;> decide


theorem inference_5 (v0 v1 v2 v3 v4 v5 : Bool) :
    ((!(((((v0 && v1) && v2) && v3) && v4) && v5)) || (((((v0 && v1) && v2) && v3) && v4) && v5)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> cases v5 <;> decide


theorem inference_6 (v0 v1 v2 v3 v4 v5 : Bool) :
    ((!(((((v0 && v1) && v2) && v3) && v4) && v5)) || (((((v0 && v1) && v2) && v3) && v4) && v5)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> cases v5 <;> decide


theorem inference_7 (v0 v1 v2 v3 v4 v5 : Bool) :
    ((!(((((v0 && v1) && v2) && v3) && v4) && v5)) || (((((v0 && v1) && v2) && v3) && v4) && v5)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> cases v5 <;> decide


theorem inference_8 (v0 v1 v2 v3 v4 v5 : Bool) :
    ((!(((((v0 && v1) && v2) && v3) && v4) && v5)) || (((((v0 && v1) && v2) && v3) && v4) && v5)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> cases v5 <;> decide


end HunterAuthored

end NetworkSources.Source108

namespace NetworkSources.Source109
-- Maclain Hunter: Irrelevant Acceptance
-- Exact authored source SHA-256: b2c28ccc525fe9f38003326e0677bf3c376d052e12dba7b1fddcc7678263472d
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!(((v0 && ((!v0) || v0)) && ((!((!v0) || v0)) || (!((!v1) || v0)))) && ((!v0) || v2))) || ((v0 && (!v1)) && v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source109

namespace NetworkSources.Source110
-- Maclain Hunter: Jesus and I by Maclain Hunter
-- Exact authored source SHA-256: 2ee48ee11cf4c087aea64b769a6f4d219a92a0336b8702cfb671a876cb8e2b44
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && v1) && v2)) || ((v0 && v1) && v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


theorem inference_2 (v0 : Bool) :
    ((!v0) || v0) = true := by
  cases v0 <;> decide


end HunterAuthored

end NetworkSources.Source110

namespace NetworkSources.Source111
-- Maclain Hunter: Jesus and the Shared Logos Essence
-- Exact authored source SHA-256: 6fc7b85dc3c47be4ebc621a926fef7198e8edbf2691ba672c8d54182ecc3cbbd
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && v1) && ((!(v0 && v1)) || v2))) || (v2 == (v0 && v1))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source111

namespace NetworkSources.Source112
-- Maclain Hunter: Knowing Logic and Proof — Full Supplied Copy
-- Exact authored source SHA-256: 980062ee1ccd709709aaede382742fefe25a971c740911484895ee7e30be0f72
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && ((!v0) || v1)) && ((!v1) || v2)) && ((!v2) || v3))) || ((!(v0 && v1)) || (v2 && v3))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


end HunterAuthored

end NetworkSources.Source112

namespace NetworkSources.Source113
-- Maclain Hunter: Knowing Proof and Its Logos Source
-- Exact authored source SHA-256: efaa75bdaece53183eb9b792785b5ecccd1f2268913be1a70d1364dc77dfe119
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 : Bool) :
    ((!(v0 && v1)) || (v0 && v1)) = true := by
  cases v0 <;> cases v1 <;> decide


end HunterAuthored

end NetworkSources.Source113

namespace NetworkSources.Source114
-- Maclain Hunter: Knowing Proof and Logic
-- Exact authored source SHA-256: 495d3190fed2c520a0e4e4faf3db334baa616fc00d859809aa5f5212853ffef4
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((!(v0 && v1)) || v2)) || ((!v0) || ((!v1) || v2))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source114

namespace NetworkSources.Source115
-- Maclain Hunter: Knowledge and Application of Logic — Supplied Concise Copy
-- Exact authored source SHA-256: ab0dce8cdb4dd3204cdc521b8f27df8d44fbe872028afc49377f475f92002c2a
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && v1) && v2)) || ((v0 && v2) == v1)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source115

namespace NetworkSources.Source116
-- Maclain Hunter: Knowledge and Application of Logic by Maclain Hunter
-- Exact authored source SHA-256: 3a652e9950b283e4486a2b2b752a1c97b8ee66b68b736c662922b4f54c928d5f
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && v1) && v2)) || ((v0 && v2) == v1)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source116

namespace NetworkSources.Source117
-- Maclain Hunter: Leibniz's Monads and Universal Logos
-- Exact authored source SHA-256: e735105da520d5c46ba0af5ff11a9b05d799275764c6ef14e08fea23112e911f
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && ((!v0) || v1)) && ((!v1) || v2))) || v2) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source117

namespace NetworkSources.Source118
-- Maclain Hunter: Leveraging Lars’ Logic by Maclain Hunter
-- Exact authored source SHA-256: 182ba175e012b4693ab114600d0ca332b315dfd67c25394f8c3a4288f2142503
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 : Bool) :
    ((!((v0 && (v0 == v1)) && v1)) || (v0 && v1)) = true := by
  cases v0 <;> cases v1 <;> decide


theorem inference_2 (v0 v1 : Bool) :
    ((!((v0 && (v0 == v1)) && v1)) || (v0 && v1)) = true := by
  cases v0 <;> cases v1 <;> decide


end HunterAuthored

end NetworkSources.Source118

namespace NetworkSources.Source119
-- Maclain Hunter: Life and Death by Maclain Hunter
-- Exact authored source SHA-256: f6170c1ddafc33986c776a9c9563220ce26360fb01fe60ae9604564982313c67
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && ((!v0) || v1)) && ((!v1) || v2))) || (v0 == (v1 == v2))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source119

namespace NetworkSources.Source120
-- Maclain Hunter: Logic and Incoherent Physical Models
-- Exact authored source SHA-256: c607897a201e20900d990dacf74980d534ded13eebdf4b702fa92c2f87c99d8b
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 : Bool) :
    ((!((((v0 && v1) && v2) && v3) && v4)) || ((((v0 && v1) && v2) && v3) && v4)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source120

namespace NetworkSources.Source121
-- Maclain Hunter: Logic and Its Self-Meeting Standard
-- Exact authored source SHA-256: e2b5f46a2303cd35bd2381ebf5f382f5dbd119f7c12ecc6f85578314be207f2a
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && ((!v0) || v1)) && ((!v1) || v2))) || ((!v0) || (!(!((v0 && v1) && v2))))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source121

namespace NetworkSources.Source122
-- Maclain Hunter: Logic and Logical Structure as the Source and Standard of Evidence
-- Exact authored source SHA-256: 8a22f24936c8d59bfc4578a2e183e0c77b679dcfb534837448fdc997438718e8
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && v1) && v2) && v3)) || ((v0 && v1) && (v2 && v3))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


end HunterAuthored

end NetworkSources.Source122

namespace NetworkSources.Source123
-- Maclain Hunter: Logic and the Battle of the Sexes
-- Exact authored source SHA-256: 20179b435cf0ea7a51c6f54473b14b4f81821c5e20a29abca12c1f8abf279faf
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 : Bool) :
    ((!((((v0 && ((!v0) || v1)) && ((!v1) || v2)) && ((!v2) || v3)) && ((!v3) || v4))) || (((v0 && v1) && (v2 && v3)) && v4)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source123

namespace NetworkSources.Source124
-- Maclain Hunter: Logic and the Resolution of Problems
-- Exact authored source SHA-256: ceda8b0d1bc3f521fc7b32daef2c2ad310ed0308df58467dfdb598f26c2ea11d
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && ((!v0) || v1)) && ((!v1) || v2))) || ((v0 && v1) && v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source124

namespace NetworkSources.Source125
-- Maclain Hunter: Logic Applied to Needs by Maclain Hunter
-- Exact authored source SHA-256: 83001098f9451632fff8f7c1dc4206dd69a39bdd8c1ce42103d385bb75a6ca84
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && v1) && v2) && v3)) || ((!(v0 && v1)) || (v2 && v3))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


end HunterAuthored

end NetworkSources.Source125

namespace NetworkSources.Source126
-- Maclain Hunter: Logic as Foundation, not Presupposition
-- Exact authored source SHA-256: bccf1ae9f6fdc8246f04b3db71ae0b99e5bc6a817e56a11423ac5d40f4ed876e
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 : Bool) :
    ((!((((v0 && ((!v0) || v1)) && ((!v1) || v2)) && ((!v2) || v3)) && ((!v3) || v4))) || (((v0 && v1) && (v2 && v3)) && v4)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source126

namespace NetworkSources.Source127
-- Maclain Hunter: Logic as Reality’s Origin by Maclain Hunter
-- Exact authored source SHA-256: 1f56ff1da794b031bcc37149af2414ee2bb7d411b548b28b8d1cba1c4ede4d34
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && ((!v0) || v1)) && ((!v1) || v2)) && ((!v2) || v3))) || ((v0 && v1) && (v2 && v3))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


end HunterAuthored

end NetworkSources.Source127

namespace NetworkSources.Source128
-- Maclain Hunter: Logic as the Basis of Science, Education, and Qualified Teaching
-- Exact authored source SHA-256: 3d66c32cbe9331fdae526edc6e096a677cb4ca94acda7df766282c557e22f64e
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 : Bool) :
    ((!((((v0 && ((!v0) || v1)) && ((!v1) || v2)) && ((!v2) || v3)) && ((!v3) || v4))) || (((v0 && v1) && (v2 && v3)) && v4)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> decide


end HunterAuthored

end NetworkSources.Source128

namespace NetworkSources.Source129
-- Maclain Hunter: Logic Beyond Infinity and Duality
-- Exact authored source SHA-256: 59615f0f24a31078b001d539343a6fc64220b1436db4d5237c732f8afda230c2
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!(((v0 && v1) && v2) && ((!v2) || ((!v1) || v0)))) || ((!(v2 == ((!v2) || (!((!v2) || (!v2)))))) || ((!v1) || v0))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source129

namespace NetworkSources.Source130
-- Maclain Hunter: Logic Climbs Ladders by Maclain Hunter
-- Exact authored source SHA-256: dfae1077e78c02aeacecafa74b5408ac906e4ca2237ed0d251d49e1617572f4e
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 : Bool) :
    ((!(v0 && (v0 == v1))) || (v0 && v1)) = true := by
  cases v0 <;> cases v1 <;> decide


end HunterAuthored

end NetworkSources.Source130

namespace NetworkSources.Source131
-- Maclain Hunter: Logic Contains Energy by Maclain Hunter
-- Exact authored source SHA-256: ce3eb40330878ca33ab7096291a6188907beabb26dc6e093c353b835f168d94a
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 : Bool) :
    ((!((((v0 && ((!v0) || v1)) && ((!v1) || v2)) && ((!v2) || v3)) && (v3 == v4))) || (((v0 && v1) && (v2 && v3)) == v4)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> decide


end HunterAuthored

end NetworkSources.Source131

namespace NetworkSources.Source132
-- Maclain Hunter: Logic in Physics by Maclain Hunter
-- Exact authored source SHA-256: 6cc5f4f0290bfc9ba71db5f95d77da7908852cd161be6d104e6bd43d489e334c
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source132

namespace NetworkSources.Source133
-- Maclain Hunter: Logic is God in Reality by Maclain Hunter
-- Exact authored source SHA-256: 56583045a84ae707743273a22333a4a264c88ff1d1ed3b1bd5fc750b45a491b4
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && (v0 == v1)) && (v1 == v2)) && (v2 == v3))) || ((v0 && v1) && (v2 && v3))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


end HunterAuthored

end NetworkSources.Source133

namespace NetworkSources.Source134
-- Maclain Hunter: Logic is Most Logical by Maclain Hunter
-- Exact authored source SHA-256: a4063aabf0f78749c4b38282b01008e0acd28ad226f6667f26c88ab7115cad39
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 : Bool) :
    ((!(v0 == v0)) || (v0 == v0)) = true := by
  cases v0 <;> decide


end HunterAuthored

end NetworkSources.Source134

namespace NetworkSources.Source135
-- Maclain Hunter: Logic is Reason, Logos, and the Logical Foundation of Existence
-- Exact authored source SHA-256: 26c19afff7cc3fa75fa67bc8b5ea9796b42218a102f83e513295189651842dfb
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 : Bool) :
    ((!(v0 == v1)) || (v0 == v1)) = true := by
  cases v0 <;> cases v1 <;> decide


end HunterAuthored

end NetworkSources.Source135

namespace NetworkSources.Source136
-- Maclain Hunter: Logic Mandates MCB by Maclain Hunter
-- Exact authored source SHA-256: 66c55a92f6447ae816d7262a88ba6f379b47de8e088b30c85228d73a86c74942
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 : Bool) :
    ((!((((v0 && ((!v0) || v1)) && ((!v1) || v2)) && ((!v2) || v3)) && ((!v3) || v0))) || ((v0 && v1) && (v2 && v3))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


end HunterAuthored

end NetworkSources.Source136

namespace NetworkSources.Source137
-- Maclain Hunter: Logic Preserved through Coherent Transformations
-- Exact authored source SHA-256: 1ac1940023ea8b8ff26acfa7fe75a4a678919ada2464b478f44891ed05bfb80b
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && ((!v0) || v1)) && ((!v1) || v2)) && (v3 == v0))) || ((v0 && v1) && (v2 && v3))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source137

namespace NetworkSources.Source138
-- Maclain Hunter: Logic Says Ergo I Say by Maclain Hunter
-- Exact authored source SHA-256: 4b6e16998317bfdf749f11f102a02813253d6a9845198ef6b2582a08d21dd3b7
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 : Bool) :
    ((!((v0 && (v0 == v1)) && v1)) || (v0 && v1)) = true := by
  cases v0 <;> cases v1 <;> decide


theorem inference_2 (v0 v1 v2 v3 v4 : Bool) :
    ((!((((v4 && (v0 == v1)) && (v1 == v2)) && (v2 == v3)) && (v3 == v4))) || (((v0 && v1) == (v2 && v3)) == v4)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> decide


theorem inference_3 (v0 v1 : Bool) :
    ((!(v0 && v1)) || (v0 == v1)) = true := by
  cases v0 <;> cases v1 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source138

namespace NetworkSources.Source139
-- Maclain Hunter: Logic with YHVH by Maclain Hunter
-- Exact authored source SHA-256: 6b3e99315a9fbbe914b006db94c8ee39f78b35fb0e430d527a7c24fb2af14bc9
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 : Bool) :
    ((!(((v3 && v1) && v2) && v0)) || ((((!v3) || v1) && ((!v2) || v1)) == v0)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


end HunterAuthored

end NetworkSources.Source139

namespace NetworkSources.Source140
-- Maclain Hunter: Logic, Coherence, and Reality
-- Exact authored source SHA-256: 8607bc5ae0ce17e886b4102fcdde545ce2730a99285d286d862c5940d879466c
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && v2) && v1)) || ((v0 && v2) && v1)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source140

namespace NetworkSources.Source141
-- Maclain Hunter: Logic, Energy, and Electrical Identity
-- Exact authored source SHA-256: 498c02e6eca5466d308492b3bdc56fdb7fe30ed94774e302ba2d5db87a50c9bd
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && ((!v0) || v1)) && ((!v0) || v2))) || ((v0 && v1) && v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source141

namespace NetworkSources.Source142
-- Maclain Hunter: Logic, Ethics, and Epistemology by Maclain Hunter
-- Exact authored source SHA-256: 4f40a117323e4933b097560d59f89e8ad14c6c2e53b3134d6dc0e896447ca08c
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!(((v0 && ((!v0) || v1)) && ((!v1) || v2)) && v2)) || (v0 == (v1 && v2))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source142

namespace NetworkSources.Source143
-- Maclain Hunter: Logic, Identity, and Prophetic Insight
-- Exact authored source SHA-256: aa7fc63c0336f6b11537552539114009637bda7040d2a597dadcfcf8caca9f52
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source143

namespace NetworkSources.Source144
-- Maclain Hunter: Logic, Logical Reasoning, Forms, and Applications
-- Exact authored source SHA-256: 9584dbd358008d2f84163e5dbb7659e2d49eba11368534b47f5a076d322f73ff
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_2 (v0 v1 : Bool) :
    ((!((v0 && ((!v0) || v1)) && ((!v1) || v0))) || (v0 && v1)) = true := by
  cases v0 <;> cases v1 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source144

namespace NetworkSources.Source145
-- Maclain Hunter: Logic, Nature, and Logical Supernature
-- Exact authored source SHA-256: 7ef9fb061e5a8c5bcc0a96758fb224fc34c7249770731cca6a92160c635e7ba7
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source145

namespace NetworkSources.Source146
-- Maclain Hunter: Logic, Proof, and Coherence by Maclain Hunter
-- Exact authored source SHA-256: f7fd2ea8fc0843fe76906e92ba1a293945be1299346ac681d80c0caaca5e42a6
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 : Bool) :
    ((!((((v0 && (v0 == v1)) && (v1 == v2)) && (v2 == v3)) && (v3 == v4))) || (((v0 && v1) && (v2 && v3)) && v4)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> decide


end HunterAuthored

end NetworkSources.Source146

namespace NetworkSources.Source147
-- Maclain Hunter: Logic, Reality, and Fact
-- Exact authored source SHA-256: cb405b618d3899b22b614d9f22f704aeefb0ace939b98d60624b80521852b1f4
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && v1) && ((!(v0 && v1)) || v2))) || (v0 == v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source147

namespace NetworkSources.Source148
-- Maclain Hunter: Logic, Reality, and Reflexive Coherence
-- Exact authored source SHA-256: 5c93e905136c021a4844ed676a5465e0a5d1d1ff660c472ee711b59b02e5ef15
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source148

namespace NetworkSources.Source149
-- Maclain Hunter: Logic, Skepticism, and Pragmatism
-- Exact authored source SHA-256: e42bc89b5ff989ea8244d5a352ef5ea96022fded4ead6d3f253d15635810a80c
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 : Bool) :
    ((!((!v0) || v1)) || ((!v0) || v1)) = true := by
  cases v0 <;> cases v1 <;> decide


end HunterAuthored

end NetworkSources.Source149

namespace NetworkSources.Source150
-- Maclain Hunter: Logic’s Rightful Claim by Maclain Hunter
-- Exact authored source SHA-256: fe0a6e56e6bb34fa86ec81a5d5930c37e0db8110dfc5558ab3fd7cc805f7b33b
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && ((!v0) || v1)) && ((!v1) || v2))) || ((!v2) || (v0 && v1))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source150

namespace NetworkSources.Source151
-- Maclain Hunter: Logical Bootstrapping by Maclain Hunter
-- Exact authored source SHA-256: 52d4574b1076bb1cd2bff2c940ae8daa31ef6d9c532475c60f195286d3f78aa4
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 v5 : Bool) :
    ((!(((((v0 && ((!v0) || v1)) && ((!v1) || v2)) && ((!v2) || v3)) && ((!v3) || v4)) && ((!v4) || v5))) || ((((v0 && v1) && (v2 && v3)) && v4) && v5)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> cases v5 <;> decide


end HunterAuthored

end NetworkSources.Source151

namespace NetworkSources.Source152
-- Maclain Hunter: Logical Connections, Proof, and Evidence by Maclain Hunter
-- Exact authored source SHA-256: c38ad4ad8fc7b097c3e6770cebdf8d7f238f035deeb907558cb08944c436e630
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 : Bool) :
    ((!((((v0 && (v0 == v1)) && (v1 == v2)) && (v2 == v3)) && (v3 == v4))) || (((v0 && v1) && (v2 && v3)) && v4)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> decide


end HunterAuthored

end NetworkSources.Source152

namespace NetworkSources.Source153
-- Maclain Hunter: Logical Creation and Energy Conservation
-- Exact authored source SHA-256: 1dc96cd81c05e7190055c0568cfc28ba2564d281ce6139772d28909a5f748d6b
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!(v0 && ((!v0) || ((!v1) || v2)))) || ((!(v0 && v1)) || v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source153

namespace NetworkSources.Source154
-- Maclain Hunter: Logical Glue by Maclain Hunter
-- Exact authored source SHA-256: 7d56dc7b3ac75ae16613fe529c56e611089b96c6e4296b2edd564d1f51ca578e
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((((((v0 && v1) && ((!v0) || v1)) && ((!v1) || v0)) && v2) && ((!v2) || v0)) && ((!v2) || v1))) || ((v0 && v1) && v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source154

namespace NetworkSources.Source155
-- Maclain Hunter: Logical Ground Before Sensing
-- Exact authored source SHA-256: f6262bc70fa779c3946276bc654ec26e7b99dff59788057fbe5d694eb61fb87c
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && (v1 == v0)) && (v2 == v0))) || (v2 == (v1 == v0))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source155

namespace NetworkSources.Source156
-- Maclain Hunter: Logical Humility and Coherence
-- Exact authored source SHA-256: 99e064ce7beff7fae80b7318cc964d8b72973489d8af5435ea83f8b756cb88ec
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 == v1) && ((!v1) || v2))) || ((v0 && v2) == v1)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source156

namespace NetworkSources.Source157
-- Maclain Hunter: Logical Knowledge and Grasp
-- Exact authored source SHA-256: 8670aaaff3ea59900a550bc23ef3cea9f78cf0767bc9877a237a88a1a12b06be
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && ((!v0) || (v0 && v1))) && ((!(v0 && v1)) || v2))) || ((v0 && v1) && v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source157

namespace NetworkSources.Source158
-- Maclain Hunter: Logical Model for Solving the Halting Problem
-- Exact authored source SHA-256: 575e25556558c29a0487f6d1886bd4f96068b28fd8b65ce85c7f7db70d2258d1
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v1 && v2) && v0)) || (v1 || v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source158

namespace NetworkSources.Source159
-- Maclain Hunter: Logical Ontology by Maclain Hunter
-- Exact authored source SHA-256: 5fa03c3b38b505522b3c08e029f8d05a875de67b2f534689ec6f46a1864f1bb0
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && ((!v0) || v1)) && ((!v1) || v2)) && ((!v2) || v3))) || ((!(v0 && v1)) || (v2 && v3))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source159

namespace NetworkSources.Source160
-- Maclain Hunter: Logical Proof is Empirical Data by Maclain Hunter
-- Exact authored source SHA-256: f86cc0bb797a84091e1752913616ad3d2768dc1999336159ba9dd53a68149b27
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && ((!v0) || v1)) && ((!v1) || v2)) && ((!v2) || v3))) || ((v0 && v1) && (v2 && v3))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


end HunterAuthored

end NetworkSources.Source160

namespace NetworkSources.Source161
-- Maclain Hunter: Logical Rules and God by Maclain Hunter
-- Exact authored source SHA-256: 0278acc2e2592d9317c36aa68f6236235fd8e78ba1c3de31b67c0b04d64a739e
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && v1) && v2) && v3)) || ((v0 && v1) == (v2 && v3))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


theorem inference_2 (v0 v1 v2 : Bool) :
    ((!(((v0 && (v0 == v1)) && (v1 == v2)) && (v2 == v0))) || ((v0 && v1) == v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source161

namespace NetworkSources.Source162
-- Maclain Hunter: Logical Strategy by Maclain Hunter
-- Exact authored source SHA-256: 89e82012a2ffc2c76485ab30c962ea29705ac633c3fa20dda4e2711abc8253a9
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 : Bool) :
    ((!(v0 == v1)) || (v0 == v1)) = true := by
  cases v0 <;> cases v1 <;> decide


end HunterAuthored

end NetworkSources.Source162

namespace NetworkSources.Source163
-- Maclain Hunter: Logical Strategy by Maclain Hunter — supplied copy
-- Exact authored source SHA-256: 478edb390029ed6cce3889e1386a1f5eb9f5ac36d43ad1b9539a86b86b8bec81
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 : Bool) :
    ((!(v0 == v1)) || (v0 == v1)) = true := by
  cases v0 <;> cases v1 <;> decide


end HunterAuthored

end NetworkSources.Source163

namespace NetworkSources.Source164
-- Maclain Hunter: Logos and Debate
-- Exact authored source SHA-256: 0056cf0f26c1dd5f55cbadce7b213e265de9bd6f3776b073f28cee9f234f70f0
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && v1) && v2)) || ((!(v0 && v1)) || v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source164

namespace NetworkSources.Source165
-- Maclain Hunter: Logos and Rational Political Authority
-- Exact authored source SHA-256: 3db07a1a17bb720b5b3b28f9b1d08f645948af82058dc44271441b7258a493a0
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && ((!v0) || v1)) && ((!v1) || v2)) && ((!v2) || v3))) || v3) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


end HunterAuthored

end NetworkSources.Source165

namespace NetworkSources.Source166
-- Maclain Hunter: Logos and Reflective Consciousness
-- Exact authored source SHA-256: f19e91cebccbcefa82a568822590987c6145de2c07130e0e758b06b63b04a210
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && ((!v0) || (v1 == v2))) && ((v2 == v1) == v2))) || ((v0 == v1) == v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source166

namespace NetworkSources.Source167
-- Maclain Hunter: Logos as Living Reason
-- Exact authored source SHA-256: c182c13a6d7dba7cf53f0b0c02019769a42edddc8859dabc9f5941276e352191
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && ((!v0) || v1)) && ((!v1) || v2))) || v2) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source167

namespace NetworkSources.Source168
-- Maclain Hunter: Logos as Non-Local Life and Intellect
-- Exact authored source SHA-256: e7096eb453ce27b86a17745d8093f7db786751f6c83f7e51d673ec32e495093c
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && ((!v0) || v1)) && ((!v1) || v2))) || ((v2 && v1) == v0)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source168

namespace NetworkSources.Source169
-- Maclain Hunter: Logos Entails Coherent Morality by Maclain Hunter
-- Exact authored source SHA-256: 500b7c08a8ce46caaff764d9b2039d1805c6f430b20b36a8e6ddbd8ee4fc47ad
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 : Bool) :
    ((!((((v0 && (v0 == v1)) && (v1 == v2)) && (v2 == (!v3))) && (!v3))) || ((v0 && v1) && (v2 && (!v3)))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


theorem inference_2 (v0 v1 v2 v3 : Bool) :
    ((!(((((!v0) && ((!v0) == (!v1))) && ((!v1) == (!v2))) && ((!v2) == v3)) && v3)) || ((!(v0 && v1)) && ((!v2) && v3))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


end HunterAuthored

end NetworkSources.Source169

namespace NetworkSources.Source170
-- Maclain Hunter: Logos, Comprehension, Morality, and Forgiveness of Evil by Maclain Hunter
-- Exact authored source SHA-256: 7218dd9e5dfdbc84f9ade88d095524071989e0b841a68f2389b9fb92786b33af
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 v5 : Bool) :
    ((!(((((v0 && ((!v0) || v1)) && ((!v1) || v2)) && ((!v2) || v3)) && ((!v3) || v4)) && ((!v4) || v5))) || ((((v0 && v1) && (v2 && v3)) && v4) && v5)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> cases v5 <;> decide


end HunterAuthored

end NetworkSources.Source170

namespace NetworkSources.Source171
-- Maclain Hunter: Logos, Dust, and Biological Life
-- Exact authored source SHA-256: a30cac0c0cc4fa36e93874d632c9930bbb4b44f050efb8e36df16349c9ce9e37
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && ((!v0) || v1)) && (v1 == v2)) && ((!v1) || v3))) || ((v0 && v1) && (v2 && v3))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


end HunterAuthored

end NetworkSources.Source171

namespace NetworkSources.Source172
-- Maclain Hunter: Logos, Identity, and Conservation
-- Exact authored source SHA-256: 0163733b21e3c28da45344c0f641319ecd70f0339b936fc1b141a48918b7511a
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && ((!v0) || v1)) && ((!v1) || v2))) || ((v0 && v1) && v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source172

namespace NetworkSources.Source173
-- Maclain Hunter: Logos, Theological Interpretation, and Coherent Denial
-- Exact authored source SHA-256: 642abe6f872c27556c61f25a9ea7d954e54a60d0a50dceb5b8ee935846e643c6
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && ((!v0) || v1)) && ((!v1) || v2))) || (v2 == (v1 == v0))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source173

namespace NetworkSources.Source174
-- Maclain Hunter: Logos, Theos, and Arche
-- Exact authored source SHA-256: 675021f4ed3153e539a8d449bc24a7bf755ce30570bc18e9ceef16f9f3f6c2f1
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && ((!v0) || v2)) && ((!v2) || v1))) || (v2 == ((!((!v2) || (!(v0 == (!v2))))) || v1))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source174

namespace NetworkSources.Source175
-- Maclain Hunter: Logos, Theos, and Arche — Arabic-Term Version
-- Exact authored source SHA-256: 1822c6f4c55e1dfe89a942c82065872b89b1377b7963a180f88ab3aaeea9eb14
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && ((!v0) || v2)) && ((!v2) || v1))) || (v2 == ((!((!v2) || (!(v0 == (!v2))))) || v1))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source175

namespace NetworkSources.Source176
-- Maclain Hunter: Loop Halting Guarantee
-- Exact authored source SHA-256: d317154a15be0a16f2474591c1599951ad98b9d245112b7223256dcb541b2125
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

def iterations {α : Type} (step : α → Option α) : Nat → α → Nat
  | 0, _ => 0
  | n + 1, s =>
    match step s with
    | none => 0
    | some t => iterations step n t + 1
theorem fuel_iteration_bound {α : Type} (step : α → Option α) (fuel : Nat) (s : α) :
    iterations step fuel s ≤ fuel := by
  induction fuel generalizing s with
  | zero => exact Nat.le_refl 0
  | succ n ih =>
    cases h : step s with
    | none =>
      unfold iterations
      rw [h]
      exact Nat.zero_le (n + 1)
    | some t =>
      unfold iterations
      rw [h]
      exact Nat.succ_le_succ (ih t)


end HunterAuthored

end NetworkSources.Source176

namespace NetworkSources.Source177
-- Maclain Hunter: Loop Halting Guarantee
-- Exact authored source SHA-256: 9bca977c1c264cbc7b860f19a086650304fa6c7c8495d1566b6cafb552eba3dd
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

def iterations {α : Type} (step : α → Option α) : Nat → α → Nat
  | 0, _ => 0
  | n + 1, s =>
    match step s with
    | none => 0
    | some t => iterations step n t + 1
theorem fuel_iteration_bound {α : Type} (step : α → Option α) (fuel : Nat) (s : α) :
    iterations step fuel s ≤ fuel := by
  induction fuel generalizing s with
  | zero => exact Nat.le_refl 0
  | succ n ih =>
    cases h : step s with
    | none =>
      unfold iterations
      rw [h]
      exact Nat.zero_le (n + 1)
    | some t =>
      unfold iterations
      rw [h]
      exact Nat.succ_le_succ (ih t)


end HunterAuthored

end NetworkSources.Source177

namespace NetworkSources.Source178
-- Maclain Hunter: Machine Semantics Programming Platform Designed by Maclain Hunter
-- Exact authored source SHA-256: 7708862fbb4faeed369931fa1c0cc59ea96b840fad81ec6702e4197cbfebf3d0
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 : Bool) :
    ((!((((v0 && ((!v0) || v1)) && ((!v1) || v2)) && ((!v2) || v3)) && ((!v3) || v4))) || ((!((!(v0 && v1)) || (v2 && v3))) || v4)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> decide


theorem inference_2 (v0 v1 v2 v3 v4 v5 : Bool) :
    ((!(((((v0 && v1) && v2) && v3) && v4) && v5)) || ((!v5) || (((v0 && v1) && (v2 && v3)) && v4))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> cases v5 <;> decide


end HunterAuthored

end NetworkSources.Source178

namespace NetworkSources.Source179
-- Maclain Hunter: Maclain Hunter on Monads
-- Exact authored source SHA-256: 3207637d827abc163cd406c4a45ef729e468a484d4b696971aeefcf942ffbff9
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && ((!v0) || v1)) && ((!v1) || v2)) && ((!v2) || v3))) || ((!((!v3) || v2)) || ((!v1) || v0))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


end HunterAuthored

end NetworkSources.Source179

namespace NetworkSources.Source180
-- Maclain Hunter: Maclain Hunter on the Rule(s) of Logic — Full Supplied Copy
-- Exact authored source SHA-256: 707c4b3984ce0ea522dba2757bfa7e8dda4043d48f14992b36bc297d799aa47e
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 : Bool) :
    ((!((v0 && (v0 == v0)) && (v0 == (!v1)))) || (v0 && (!v1))) = true := by
  cases v0 <;> cases v1 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source180

namespace NetworkSources.Source181
-- Maclain Hunter: Mastery of Self-Reference by Maclain Hunter
-- Exact authored source SHA-256: 40583771ea7e8a1a952acbdd2df7636a121a0d95f5371ba0717b4b46356974d0
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 v5 : Bool) :
    ((!(((((v0 && (v0 == v1)) && (v1 == v2)) && (v2 == v3)) && (v3 == v4)) && (v4 == v5))) || ((((v0 && v1) && (v2 && v3)) && v4) && v5)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> cases v5 <;> decide


end HunterAuthored

end NetworkSources.Source181

namespace NetworkSources.Source182
-- Maclain Hunter: Materialism and Nihilism
-- Exact authored source SHA-256: 228c4434a7b498de8636bb38f7435864538346fff1efbae50fcc2ce411d245a7
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 : Bool) :
    ((!(v0 && v1)) || (v0 && v1)) = true := by
  cases v0 <;> cases v1 <;> decide


end HunterAuthored

end NetworkSources.Source182

namespace NetworkSources.Source183
-- Maclain Hunter: MCB Decidability
-- Exact authored source SHA-256: 9333dc350ef91ebc490ba0a42fcb28d574932b02b6e6c8e370b1a47ca8861da6
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

def signedIntegerPower (n : Int) : Int := if n % 2 = 0 then 1 else -1
theorem integer_parity_range (n : Int) :
    signedIntegerPower n = 1 ∨ signedIntegerPower n = -1 := by
  unfold signedIntegerPower
  by_cases h : n % 2 = 0
  · rw [if_pos h]; exact Or.inl rfl
  · rw [if_neg h]; exact Or.inr rfl


end HunterAuthored

end NetworkSources.Source183

namespace NetworkSources.Source184
-- Maclain Hunter: MCB Decidability
-- Exact authored source SHA-256: d62a2a92c96cc26d04abb582b6443e4c54ad6e39c15684689418646741813d8d
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

def signedIntegerPower (n : Int) : Int := if n % 2 = 0 then 1 else -1
theorem integer_parity_range (n : Int) :
    signedIntegerPower n = 1 ∨ signedIntegerPower n = -1 := by
  unfold signedIntegerPower
  by_cases h : n % 2 = 0
  · rw [if_pos h]; exact Or.inl rfl
  · rw [if_neg h]; exact Or.inr rfl


end HunterAuthored

end NetworkSources.Source184

namespace NetworkSources.Source185
-- Maclain Hunter: MCB Logic Router API Design — Exact Supplied Copy
-- Exact authored source SHA-256: 0b601ef5297429a128dc7f9ced0029f1be9c00121dff37eb4d0f3fd0e92040f6
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 : Bool) :
    ((!((((v0 && ((!v0) || v1)) && ((!v1) || v2)) && ((!v2) || v3)) && ((!v3) || v4))) || ((!v4) || ((!((!v3) || v2)) || ((!v1) || v0)))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> decide


end HunterAuthored

end NetworkSources.Source185

namespace NetworkSources.Source186
-- Maclain Hunter: MCB State Exclusivity
-- Exact authored source SHA-256: 9ee9a78ac523714ae7337c240149771877a520e32c554da421b750ea24799cb6
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem signed_state_exclusivity (b : Bool) :
    (if b then (1 : Int) else -1) = 1 ∨ (if b then (1 : Int) else -1) = -1 := by
  cases b
  · exact Or.inr rfl
  · exact Or.inl rfl


end HunterAuthored

end NetworkSources.Source186

namespace NetworkSources.Source187
-- Maclain Hunter: MCB State Exclusivity
-- Exact authored source SHA-256: 110d3af511c6be0e7c2dcfbdabecfd736a96fd0988e6a43615f8dd3290115037
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem signed_state_exclusivity (b : Bool) :
    (if b then (1 : Int) else -1) = 1 ∨ (if b then (1 : Int) else -1) = -1 := by
  cases b
  · exact Or.inr rfl
  · exact Or.inl rfl


end HunterAuthored

end NetworkSources.Source187

namespace NetworkSources.Source188
-- Maclain Hunter: Metaphysics and Ontological Ground
-- Exact authored source SHA-256: 933a5d48a5307d6d55eb54ba7006333efb551a070a4944cb55be3ad4e3bd1be7
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 : Bool) :
    ((!((v0 && v1) && ((!v1) || v0))) || ((!v1) || (v0 && (!(!v0))))) = true := by
  cases v0 <;> cases v1 <;> decide


end HunterAuthored

end NetworkSources.Source188

namespace NetworkSources.Source189
-- Maclain Hunter: Modal Space and Reality
-- Exact authored source SHA-256: 5614b464ae26077dbbdc259d0758d40f0a7bd27a5052e828fdd69f1ab2adc023
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 : Bool) :
    ((!(((((v0 && v1) && ((!v1) || v2)) && ((!v2) || v3)) && ((!v3) || v0)) && ((!(v3 && v0)) || v4))) || ((!v3) || (v0 && v4))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> decide


end HunterAuthored

end NetworkSources.Source189

namespace NetworkSources.Source190
-- Maclain Hunter: Modus Ponens, Modus Tollens, and Logos by Maclain Hunter
-- Exact authored source SHA-256: 8183a20a4b8d70ffaf6337104bd7fb1f6f91e2ec84b873772207c3b4d8bf991a
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 v5 : Bool) :
    ((!(((((v0 && (v0 == v1)) && (v1 == v2)) && (v2 == v3)) && (v3 == v4)) && (v4 == v5))) || ((((v0 && v1) && (v2 && v3)) && v4) && v5)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> cases v5 <;> decide


end HunterAuthored

end NetworkSources.Source190

namespace NetworkSources.Source191
-- Maclain Hunter: Morality and Its Denial
-- Exact authored source SHA-256: 4fae2f06fd73bf498f7f05ad44eb045929d91f2049e5df8f90bc64af38b5a248
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 : Bool) :
    ((!((v0 && ((!v0) || v1)) && v1)) || (v0 && v1)) = true := by
  cases v0 <;> cases v1 <;> decide


end HunterAuthored

end NetworkSources.Source191

namespace NetworkSources.Source192
-- Maclain Hunter: Morality is Divine by Maclain Hunter
-- Exact authored source SHA-256: 216662e5e94a2f21f51fc9eb7bb63e51bcfd3822004a8690f106f9c0e154058a
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 : Bool) :
    ((!((((v0 && (v0 == v1)) && (v1 == v2)) && (v2 == v3)) && (v3 == v4))) || (((v0 && v1) && (v2 && v3)) && v4)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> decide


end HunterAuthored

end NetworkSources.Source192

namespace NetworkSources.Source193
-- Maclain Hunter: My Credo by Maclain Hunter
-- Exact authored source SHA-256: 1085424dc8e45783010cb9074b3b0757a13eb44df54073ad4d0a2d00e8494951
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && v1) && v2) && v3)) || ((!((v2 == v1) == v0)) || v3)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source193

namespace NetworkSources.Source194
-- Maclain Hunter: Myth, Truth, and the Coherent Foundation of Reality
-- Exact authored source SHA-256: 214415ae3e0c9253648cd0bd62e492d3697b8a947512e198808dbc007b8b1e6f
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && (v0 == v1)) && (v1 == (!v2)))) || ((v0 && v1) && (!v2))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source194

namespace NetworkSources.Source195
-- Maclain Hunter: Natural Creation, Law, and Cause — Logical Order
-- Exact authored source SHA-256: 9aa6de04cc79c2b14f507870905acc70c15bc54de72653cff290eef9ebf17617
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 : Bool) :
    ((!((((v0 && ((!v0) || v1)) && ((!v1) || v2)) && ((!v2) || v3)) && ((!v3) || v4))) || ((!((!(v0 && v1)) || (v2 && v3))) || v4)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source195

namespace NetworkSources.Source196
-- Maclain Hunter: Necessary Correctness and Logical Proof
-- Exact authored source SHA-256: 3920c930e149b4e496bd7af65a136466b30b514fb41c0841460a5ce4e6ad7323
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 : Bool) :
    ((!(((((((((v0 && (v0 == v1)) && (v0 == v2)) && v1) && ((!v1) || v0)) && v0) && ((!v1) || v2)) && v2) && ((!v2) || v3)) && v4)) || (((v0 && v1) && (v2 && v3)) && v4)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> decide


end HunterAuthored

end NetworkSources.Source196

namespace NetworkSources.Source197
-- Maclain Hunter: Necessary Entailment by Maclain Hunter
-- Exact authored source SHA-256: 7e101488b48dd99fff8e338b62c9bb1063d1a010bcb693cfe3635a8de298b990
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((((v1 && (v1 == v2)) && (v2 == v0)) && (v0 == v0)) && v0)) || (((v1 == v2) && (v1 && v2)) && v0)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


theorem inference_2 (v0 v1 v2 v3 v4 v5 : Bool) :
    ((!(((((((((((((((((v3 && (v3 == v5)) && (v3 == v2)) && (v5 == v4)) && (v2 == v4)) && (v2 == v5)) && (v3 == v4)) && (v3 == v5)) && (v5 == v0)) && (v3 == v0)) && (v0 == v1)) && (v1 == v1)) && v3) && v2) && v5) && v4) && v0) && v1)) || ((((v3 && v5) && (v2 && v4)) && v0) && v1)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> cases v5 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source197

namespace NetworkSources.Source198
-- Maclain Hunter: Necessary Logic and Logical Existence
-- Exact authored source SHA-256: 89ae745bd8d488e6891f28f647d148db2e2c5e1be5a90be8e339d57add5278dd
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 v5 v6 : Bool) :
    ((!((((((v0 && v1) && v2) && v3) && v4) && v5) && v6)) || ((((v0 && v1) && (v2 && v3)) && v4) && v5)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> cases v5 <;> cases v6 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source198

namespace NetworkSources.Source199
-- Maclain Hunter: Negation of Prior Order by Maclain Hunter
-- Exact authored source SHA-256: 8daa685328c98fdf8a4cce51dd9763b33914339620750c73bdb5b5ef6f25f877
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && (v0 == v1)) && (v1 == v2)) && (v2 == v3))) || ((v0 && v1) && (v2 && v3))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source199

namespace NetworkSources.Source200
-- Maclain Hunter: Negation, Identity, and Logos by Maclain Hunter
-- Exact authored source SHA-256: 5df940f97f0269418a4c17f0c1de664ac22380fa19f0adc70470d110e22d84fd
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 : Bool) :
    ((!v0) || v0) = true := by
  cases v0 <;> decide


theorem inference_2 (v0 v1 v2 : Bool) :
    ((!((v2 && v0) && v1)) || ((v2 == v0) && v1)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


theorem inference_3 (v0 v1 v2 v3 : Bool) :
    ((!(((v3 && v1) && v2) && v0)) || ((v3 == v1) == (v1 == v0))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


theorem inference_4 (v0 v1 : Bool) :
    ((!(v0 == v1)) || (v0 == v1)) = true := by
  cases v0 <;> cases v1 <;> decide


theorem inference_5 (v0 v1 v2 v3 v4 v5 : Bool) :
    ((!(((((v0 && v1) && v2) && v3) && v4) && v5)) || (((((v0 && v1) && v2) && v3) && v4) && v5)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> cases v5 <;> decide


theorem inference_6 (v0 v1 : Bool) :
    ((!(v0 && ((!v0) || v1))) || (v0 == v1)) = true := by
  cases v0 <;> cases v1 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source200

namespace NetworkSources.Source201
-- Maclain Hunter: Nested Structure by Maclain Hunter
-- Exact authored source SHA-256: d7afa529455ee6e3132d061dd4b9bee152e9925171931709a91b55e986e5dcc2
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source201

namespace NetworkSources.Source202
-- Maclain Hunter: No Logical Alternative to Logos
-- Exact authored source SHA-256: 8cd7d1ec8bebc0c3b09d5ed949883be86754b5d1be29380d9ae16bee9f063eec
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && ((!v0) || v1)) && (v1 == v2))) || ((!((!v2) || v0)) || v1)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source202

namespace NetworkSources.Source203
-- Maclain Hunter: No One Is Truly Gone by Maclain Hunter
-- Exact authored source SHA-256: d5da913d53c8bbdb476d5da243180fdc9e5b5cb42e6d8fde0feb8c8b850a7bda
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 : Bool) :
    ((!((((((((v0 && v1) && v2) && v3) && v4) && ((!v0) || v1)) && ((!v1) || v2)) && ((!v2) || v3)) && ((!v3) || v4))) || ((!v4) || ((v0 && v1) == (v2 && v3)))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source203

namespace NetworkSources.Source204
-- Maclain Hunter: No True Scotsman and Axiomatic Ground
-- Exact authored source SHA-256: fbfc46b8a4aade4a2d43d6919b5adf909ecc89a474d0f6c40c33912d948867b1
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((!(v0 && v1)) || v2)) || ((!(v0 && v1)) || v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source204

namespace NetworkSources.Source205
-- Maclain Hunter: NOT Involution
-- Exact authored source SHA-256: 1fa7c3de4106820c0a6ab68bf9f1d2c299422dfd346cdbc83ddb891ba1247c22
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem negation_value_involution (value : Int) : -(-value) = value :=
  Int.neg_neg value


end HunterAuthored

end NetworkSources.Source205

namespace NetworkSources.Source206
-- Maclain Hunter: NOT Involution
-- Exact authored source SHA-256: 9bc0dfbadc58a4fae979cab7188a0fafa6eb7a9eb409db67c2826627cd9b2737
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem negation_value_involution (value : Int) : -(-value) = value :=
  Int.neg_neg value


end HunterAuthored

end NetworkSources.Source206

namespace NetworkSources.Source207
-- Maclain Hunter: Objective Perspective by Maclain Hunter
-- Exact authored source SHA-256: 67bc28077039fea57e3eb033e750fe327587d2fe24ac6b4ea3a527feb1e64224
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 : Bool) :
    ((!(v0 && v1)) || (v0 && v1)) = true := by
  cases v0 <;> cases v1 <;> decide


end HunterAuthored

end NetworkSources.Source207

namespace NetworkSources.Source208
-- Maclain Hunter: Observable Formal Proof — Scientific-Test Version
-- Exact authored source SHA-256: 3bef564bc8b81e60c38574e23830b6ce521193f9dbbe1424a61a4325d2c48316
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && v1) && (v2 == (v0 && v1)))) || ((v0 && v1) && v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source208

namespace NetworkSources.Source209
-- Maclain Hunter: Observable Logic and Its Source
-- Exact authored source SHA-256: 108146949831e2d450688d603bd17e821d5697dd8ef526294c79c448cc466bd1
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 : Bool) :
    ((!((v0 && (v0 == v1)) && v1)) || (v0 && v1)) = true := by
  cases v0 <;> cases v1 <;> decide


end HunterAuthored

end NetworkSources.Source209

namespace NetworkSources.Source210
-- Maclain Hunter: Observable Logos and the Defined ET
-- Exact authored source SHA-256: 94b4d4022daed28e8d2e47bb76fbde6a346560c87a6f235f79945a58503aaece
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && v1) && v2)) || ((!((!v0) || v1)) || v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source210

namespace NetworkSources.Source211
-- Maclain Hunter: On Spinoza’s Axioms by Maclain Hunter
-- Exact authored source SHA-256: 537ab5eeea3e01df462a1c0697f8767ad89195410f7adb98bef180d67a9289c9
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && (v0 && v1)) && ((!v1) || v2)) && (v0 == v3))) || ((!((!v3) || (v0 && v1))) || v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source211

namespace NetworkSources.Source212
-- Maclain Hunter: On the Logic of the Universe
-- Exact authored source SHA-256: e65144a5922e6d76baf5b90b57966584834c36c4401f24a46473833140e8d429
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!(((v0 && ((!v0) || v1)) && ((!v1) || v2)) && ((!v2) || v0))) || ((v0 && v1) && v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source212

namespace NetworkSources.Source213
-- Maclain Hunter: Oneness, Solipsism, and Shared Reality
-- Exact authored source SHA-256: e62c841178ed865d4bafcaaa520b661bfc77c5df6ac13402f8e8e00cea3773df
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && v1) && v2)) || ((((!v0) || v1) && (v1 == v2)) && ((!v1) || v2))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source213

namespace NetworkSources.Source214
-- Maclain Hunter: Ontology and Coherent Theology
-- Exact authored source SHA-256: 01a1f3e38defdf676df91cb0d734da214bc6659caf357e2d93b3b14b54512242
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && ((!v0) || v1)) && v2)) || ((!(v0 && v1)) || v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source214

namespace NetworkSources.Source215
-- Maclain Hunter: OR Commutativity (magnitude distinct)
-- Exact authored source SHA-256: f8adb9da481011e9f218974a409c94ed6c905eddd1691e67b560e0befa5f9151
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

def dominantValue (a b : Int) : Int := if a.natAbs < b.natAbs then b else a
theorem distinct_magnitude_or_commutative (a b : Int) (distinct : a.natAbs ≠ b.natAbs) :
    dominantValue a b = dominantValue b a := by
  unfold dominantValue
  cases Nat.lt_or_gt_of_ne distinct with
  | inl h =>
    rw [if_pos h, if_neg (Nat.not_lt_of_ge (Nat.le_of_lt h))]
  | inr h =>
    rw [if_neg (Nat.not_lt_of_ge (Nat.le_of_lt h)), if_pos h]


end HunterAuthored

end NetworkSources.Source215

namespace NetworkSources.Source216
-- Maclain Hunter: OR Commutativity (magnitude distinct)
-- Exact authored source SHA-256: c468914d86f2d9feb2a549efb6c7ed74b22146a0392c5ce5968ba4ab325c4c9f
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

def dominantValue (a b : Int) : Int := if a.natAbs < b.natAbs then b else a
theorem distinct_magnitude_or_commutative (a b : Int) (distinct : a.natAbs ≠ b.natAbs) :
    dominantValue a b = dominantValue b a := by
  unfold dominantValue
  cases Nat.lt_or_gt_of_ne distinct with
  | inl h =>
    rw [if_pos h, if_neg (Nat.not_lt_of_ge (Nat.le_of_lt h))]
  | inr h =>
    rw [if_neg (Nat.not_lt_of_ge (Nat.le_of_lt h)), if_pos h]


end HunterAuthored

end NetworkSources.Source216

namespace NetworkSources.Source217
-- Maclain Hunter: Our Proofs Stand by Maclain Hunter
-- Exact authored source SHA-256: c0b446fa430b1da250beb17d7ba4e6b123c13dcaa2d106eff50e735a72c8a144
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 : Bool) :
    ((!((((v0 && ((!v0) || v1)) && ((!v1) || v2)) && (v2 == v3)) && ((!v3) || v4))) || (v4 == ((v3 == v2) && (v1 == v0)))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> decide


end HunterAuthored

end NetworkSources.Source217

namespace NetworkSources.Source218
-- Maclain Hunter: Pantheism, Interconnection, and Hierarchy
-- Exact authored source SHA-256: ff4d2daffdadf0a9e1450d692a760ad0ef2659b29e50c956125aa4cb7a4769be
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((((v0 && v1) && v2) && (v0 == v1)) && ((!v2) || (v0 && v1)))) || ((v0 && v1) == v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source218

namespace NetworkSources.Source219
-- Maclain Hunter: Performed Reflexive Proof and Logical Expertise
-- Exact authored source SHA-256: 60e7f4413d09ce5db349be21088ddc72bf0b71f359fa8e6f3a65c1649a057879
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 : Bool) :
    ((!v0) || v0) = true := by
  cases v0 <;> decide


end HunterAuthored

end NetworkSources.Source219

namespace NetworkSources.Source220
-- Maclain Hunter: Predicated Propositions by Maclain Hunter
-- Exact authored source SHA-256: 1fc220556e7ee9cb2acad47b8d76fed95f0130786811ccfc768e7637c5bdd0c1
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_2 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && ((!v0) || v1)) && (v1 == v2)) && ((!v2) || v3))) || ((v0 && v1) && (v2 && v3))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


theorem inference_3 (v0 v1 v2 v3 : Bool) :
    ((!(((v1 && ((!v1) || v2)) && (v2 == v3)) && ((!v3) || v0))) || ((v1 && v2) && (v3 && v0))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


theorem inference_4 (v0 v1 v2 v3 : Bool) :
    ((!(((v2 && ((!v2) || v3)) && (v3 == v0)) && ((!v0) || v1))) || ((v2 && v3) && (v0 && v1))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


theorem inference_5 (v0 v1 v2 v3 : Bool) :
    ((!(((v3 && ((!v3) || v0)) && (v0 == v1)) && ((!v1) || v2))) || ((v3 && v0) && (v1 && v2))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source220

namespace NetworkSources.Source221
-- Maclain Hunter: Predicated Propositions by Maclain Hunter — Logician-only supplied copy
-- Exact authored source SHA-256: 752a55b39e134e359deb793a4f47f8811239dc2d77292e9997fe48851c86681a
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_2 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && ((!v0) || v1)) && (v1 == v2)) && ((!v2) || v3))) || ((v0 && v1) && (v2 && v3))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


theorem inference_3 (v0 v1 v2 v3 : Bool) :
    ((!(((v1 && ((!v1) || v2)) && (v2 == v3)) && ((!v3) || v0))) || ((v1 && v2) && (v3 && v0))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


theorem inference_4 (v0 v1 v2 v3 : Bool) :
    ((!(((v2 && ((!v2) || v3)) && (v3 == v0)) && ((!v0) || v1))) || ((v2 && v3) && (v0 && v1))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


theorem inference_5 (v0 v1 v2 v3 : Bool) :
    ((!(((v3 && ((!v3) || v0)) && (v0 == v1)) && ((!v1) || v2))) || ((v3 && v0) && (v1 && v2))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source221

namespace NetworkSources.Source222
-- Maclain Hunter: Predictions and Proof by Maclain Hunter
-- Exact authored source SHA-256: 99efedb37e59c0bb06fd3b50174543d292ee8a599239b5f732983dba2dccf520
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 : Bool) :
    ((!((((v0 && ((!v0) || v1)) && ((!v1) || v2)) && ((!v2) || v3)) && ((!v3) || v4))) || (((v0 && v1) && (v2 && v3)) && v4)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> decide


end HunterAuthored

end NetworkSources.Source222

namespace NetworkSources.Source223
-- Maclain Hunter: Primordial Reason — Scientific-Test Passage
-- Exact authored source SHA-256: 1a45eed15ae386b3636c41d13b1afc2c33689ba25cfea625b846af7f2344b0a5
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source223

namespace NetworkSources.Source224
-- Maclain Hunter: Proof Acknowledges First Cause by Maclain Hunter
-- Exact authored source SHA-256: e5b421e775ebbe32d140ba0d8f328f0d95cbf1d74aa4eac87bb045f2c2364ca1
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 : Bool) :
    ((!((v0 && (v0 == v1)) && v1)) || (v0 && v1)) = true := by
  cases v0 <;> cases v1 <;> decide


end HunterAuthored

end NetworkSources.Source224

namespace NetworkSources.Source225
-- Maclain Hunter: Proof Aligned with Objective Coherence by Maclain Hunter
-- Exact authored source SHA-256: d1ae37101271d339789bc9275858a3fa7c0efef5c061b298c119ed34f348f3e3
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 : Bool) :
    ((!((((v0 && v1) && v2) && v3) && v4)) || (((v0 && v1) && (v2 && v3)) && v4)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source225

namespace NetworkSources.Source226
-- Maclain Hunter: Proof I Know Proof by Maclain Hunter
-- Exact authored source SHA-256: caeb1858685cf29c9a5af2110bd481d5295f718627e8ccc3ec5de5f3156112bb
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && (v0 == v1)) && (v1 == v2)) && (v2 == v3))) || ((v0 && v1) && (v2 && v3))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


end HunterAuthored

end NetworkSources.Source226

namespace NetworkSources.Source227
-- Maclain Hunter: Proof Logic is Conscious by Maclain Hunter
-- Exact authored source SHA-256: 2dac617fac5bc1736c481d1bdb49744653c2e12d16403b7b14bec9e3a6935c7a
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && v1) && v2)) || ((v0 && v1) == v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


theorem inference_2 (v0 v1 v2 : Bool) :
    ((!((v0 && v1) && v2)) || ((v0 && v1) == v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source227

namespace NetworkSources.Source228
-- Maclain Hunter: Proof Logic is Conscious by Maclain Hunter — Further Supplied Source
-- Exact authored source SHA-256: 6b5e2f503faaa456088c727ff5c06e41ce1e8dd11dbaed2ba8d6c53eb13a6921
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && v1) && v2)) || ((v0 && v1) == v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


theorem inference_2 (v0 v1 v2 : Bool) :
    ((!((v0 && v1) && v2)) || ((v0 && v1) == v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source228

namespace NetworkSources.Source229
-- Maclain Hunter: Proof of (((P & Q) & R) & S) & T by Maclain Hunter
-- Exact authored source SHA-256: 22ee8268ac3d1e44976c7c3bd22dd77f9b680aad7b4d153150c09836e6791e18
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 : Bool) :
    ((!((((v0 && (v0 == v1)) && (v1 == v2)) && (v2 == v3)) && (v3 == v4))) || ((((v0 && v1) && v2) && v3) && v4)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source229

namespace NetworkSources.Source230
-- Maclain Hunter: Proof of Established Certainty by Maclain Hunter
-- Exact authored source SHA-256: e58e12ad28490c9367345c3f942f6f0579372963042a03fefaff15b38ce0d5ff
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 : Bool) :
    ((!(((v3 && ((!v3) || v0)) && (v0 && v1)) && ((!v3) || v2))) || (((!(v0 && v1)) || v2) == v3)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


theorem inference_2 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && ((!v0) || v1)) && (v1 && v2)) && ((!v0) || v3))) || (((!(v0 && v1)) || v2) == v3)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


end HunterAuthored

end NetworkSources.Source230

namespace NetworkSources.Source231
-- Maclain Hunter: Proof of Foundational Coherence by Maclain Hunter
-- Exact authored source SHA-256: 06170827c28cd5c5bb2b0127f7c1b85d28d4e67db66110df2fec1dccc62aae7e
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!(((v0 && (v0 == v1)) && ((!v2) || v0)) && ((!v2) || v1))) || ((!v2) || (v0 && v1))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source231

namespace NetworkSources.Source232
-- Maclain Hunter: Proof of God as Universal Logic and Ontology
-- Exact authored source SHA-256: 643cc7d2bf8a21837c9df3cd45e7db0a81aa577835ad2a63fa2440364d3aba25
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source232

namespace NetworkSources.Source233
-- Maclain Hunter: Proof of God's Self-Control and Wisdom by Maclain Hunter
-- Exact authored source SHA-256: 83d11a4eff846cb67afebe946811af057f80c694d5e87945a879627a03e87d69
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 : Bool) :
    ((!((((v0 && v1) && v2) && v3) && v4)) || (((v0 && v1) && (v2 && v3)) && v4)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> decide


end HunterAuthored

end NetworkSources.Source233

namespace NetworkSources.Source234
-- Maclain Hunter: Proof of Logical Coherence by Maclain Hunter
-- Exact authored source SHA-256: 2335bae3ea42899450ea70917c423aae2289d0f328e6bd5bed418967cf010f81
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && v1) && v2) && v3)) || ((v0 && v1) == (v2 && v3))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source234

namespace NetworkSources.Source235
-- Maclain Hunter: Proof of Proof’s Source in Logic
-- Exact authored source SHA-256: 5473c6366d0dd1544855f4711b6055a9773c50e983f082ce9ec07cf089134cce
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 v5 v6 : Bool) :
    ((!((((((v0 && ((!v0) || v1)) && ((!v1) || v2)) && ((!v2) || v3)) && ((!v3) || v4)) && ((!v4) || v5)) && ((!v5) || v6))) || (((((v0 && v1) && (v2 && v3)) && v4) && v5) && v6)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> cases v5 <;> cases v6 <;> decide


end HunterAuthored

end NetworkSources.Source235

namespace NetworkSources.Source236
-- Maclain Hunter: Proof of Reality’s Narrative
-- Exact authored source SHA-256: c792e250f2a55f5bf9fc1f22fcac66afa3149d42a7d754db3f19af0b5dd92038
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 v5 : Bool) :
    ((!(((((v0 && v1) && v2) && v3) && v4) && v5)) || ((((v0 && v1) && (v2 && v3)) && v4) && v5)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> cases v5 <;> decide


end HunterAuthored

end NetworkSources.Source236

namespace NetworkSources.Source237
-- Maclain Hunter: Proof of Reason Demanding Reasoning and the Realization of Emergent Properties and Reality by Maclain Hunter
-- Exact authored source SHA-256: a039265504533a8ab66bfd6e3a625cbd33993c9c78990f8f28cc6b388f44f6af
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 : Bool) :
    ((!((((v0 && ((!v0) || v1)) && ((!v1) || v2)) && ((!v2) || v3)) && ((!v3) || v4))) || (((v0 && v1) && (v2 && v3)) && v4)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source237

namespace NetworkSources.Source238
-- Maclain Hunter: Proof of the Axiom of Universal Logic
-- Exact authored source SHA-256: 9a125b514846bbe64f392c43723b736ef257b61eb2e36f289e56ebb93775f7e0
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && ((!v0) || v1)) && ((!v1) || v2)) && ((!v2) || v3))) || ((v0 && v1) && (v2 && v3))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


end HunterAuthored

end NetworkSources.Source238

namespace NetworkSources.Source239
-- Maclain Hunter: Proof of the Principle of Sufficient Reason (PSR) by Maclain Hunter
-- Exact authored source SHA-256: 3398b27ce7ab9dc542f689a2b899dfc92aed182b1811a97b43ac505f243df9b3
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source239

namespace NetworkSources.Source240
-- Maclain Hunter: Proof of the PSR — Full Supplied Copy
-- Exact authored source SHA-256: 1777fd11e570cd38f3ff96ea507523cb5866cb1250be230d3405ebdfe0421079
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 v5 : Bool) :
    ((!(((((v0 && ((!v0) || v1)) && ((!(v0 && v1)) || v2)) && v3) && ((!v3) || v4)) && ((!(v3 && v4)) || v5))) || v5) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> cases v5 <;> decide


end HunterAuthored

end NetworkSources.Source240

namespace NetworkSources.Source241
-- Maclain Hunter: Proof Terms and Valid Refutation
-- Exact authored source SHA-256: 1e7bf13dc98edb30c4b65e88a6ba262d876001e02dc779618087ead43dbcc0ab
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 : Bool) :
    ((!((v0 && v1) && (!(!(v0 && v1))))) || ((v0 && (!(!v0))) && (v1 && (!(!v1))))) = true := by
  cases v0 <;> cases v1 <;> decide


end HunterAuthored

end NetworkSources.Source241

namespace NetworkSources.Source242
-- Maclain Hunter: Proof, Evidence, Logic, and God by Maclain Hunter
-- Exact authored source SHA-256: 35240dabaf8486de71c3bd8107023ed1230dcef2a72d42a07f0ce5abfcf1f549
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 : Bool) :
    ((!((((v0 == v1) && v1) && ((!v1) || v0)) && v0)) || (v0 && v1)) = true := by
  cases v0 <;> cases v1 <;> decide


end HunterAuthored

end NetworkSources.Source242

namespace NetworkSources.Source243
-- Maclain Hunter: Proof, God, and Consistency by Maclain Hunter
-- Exact authored source SHA-256: 47b947f1c0e36578e02e0ab662f7ab20ece3352797276b713de470ac2023ed9a
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((((((((((((((v0 && v1) && v2) && (v0 == v1)) && (v0 == v2)) && (v1 == v0)) && (v1 == v2)) && (v2 == v0)) && (v2 == v1)) && (v0 == v0)) && (v1 == v1)) && (v2 == v2)) && v0) && v1) && v2)) || ((v0 && v1) && v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


theorem inference_2 (v0 v1 v2 : Bool) :
    ((!((((((((v0 && v1) && v2) && (v0 == v0)) && (v1 == v1)) && (v2 == v2)) && v0) && v1) && v2)) || ((v0 && v1) && v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source243

namespace NetworkSources.Source244
-- Maclain Hunter: Proven Facts by Maclain Hunter
-- Exact authored source SHA-256: 012772d374485448686e90e3e8659e7c16f74f77f683d5a7b08e02b156da8bd1
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 == v1) && (v1 == v2)) && (v2 == v3))) || ((v0 && v1) == (v2 && v3))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


end HunterAuthored

end NetworkSources.Source244

namespace NetworkSources.Source245
-- Maclain Hunter: Proving the Coherence and Equivalence of Turing Machines and Lambda Calculus by Maclain Hunter
-- Exact authored source SHA-256: 7e0686233c15043e6b1e4a6de3c92cabce445411727110b63235d982115d1f45
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 v5 v6 : Bool) :
    ((!((((((v0 && (v0 == v1)) && (v1 == v2)) && (v2 == v3)) && (v3 == v4)) && (v4 == v5)) && ((!v5) || v6))) || (((((v0 && v1) && (v2 && v3)) && v4) && v5) && v6)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> cases v5 <;> cases v6 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source245

namespace NetworkSources.Source246
-- Maclain Hunter: Pythagorean Proofs by Maclain Hunter
-- Exact authored source SHA-256: d6182166b343de6bd6f63d9927dc20d086c6c877b0337f9a90a9cea8e08a1bed
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && (v0 == v1)) && (v1 == v2))) || ((v0 && v1) && v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


theorem inference_2 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && (v0 == v1)) && (v1 == v2)) && (v2 == v3))) || ((!((!v3) || v2)) || ((!v1) || v0))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


theorem inference_3 (v0 v1 v2 : Bool) :
    ((!((v0 && (v0 == v1)) && (v1 == v2))) || ((!((!v2) || v1)) || v0)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


theorem inference_4 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && (v0 == v1)) && (v1 == v2)) && (v2 == v3))) || ((v0 && v1) && (v2 && v3))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


theorem inference_5 (v0 v1 v2 : Bool) :
    ((!((v0 && (v0 == v1)) && (v1 == v2))) || ((v0 && v1) && v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source246

namespace NetworkSources.Source247
-- Maclain Hunter: Rationalism and Phenomenology
-- Exact authored source SHA-256: b9f9c9ed74313f75e57dbc8d4bd6a0463b5f156951e5b2eebb2366ab93275fba
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 : Bool) :
    ((!(v0 && v1)) || (v0 && v1)) = true := by
  cases v0 <;> cases v1 <;> decide


end HunterAuthored

end NetworkSources.Source247

namespace NetworkSources.Source248
-- Maclain Hunter: Reality’s Logical Coherence by Maclain Hunter
-- Exact authored source SHA-256: e1b3ca8591290456f7f5f61874dffbf1c6ef9917701ab107f43d0500acf3cf81
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 v5 : Bool) :
    ((!((((((v0 && (v0 == v1)) && (v1 == v2)) && (v2 == v3)) && (v3 == v4)) && (v4 == v5)) && v5)) || ((((v0 && v1) && (v2 && v3)) && v4) && v5)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> cases v5 <;> decide


theorem inference_2 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && v1) && v2) && v3)) || ((v0 && v1) && (v2 && v3))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


theorem inference_3 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && (v0 == v1)) && (v1 == v2)) && (v2 == v3))) || ((v0 && v1) && (v2 && v3))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source248

namespace NetworkSources.Source249
-- Maclain Hunter: Reason as God and the Coherence of Love
-- Exact authored source SHA-256: b03437b3c73b494ff8fda428c7c32444c5b1e6099eefc33119db2329b695199c
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && v1) && v2)) || ((!(v0 && v1)) || v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source249

namespace NetworkSources.Source250
-- Maclain Hunter: Reason as the Ship of Theseus by Maclain Hunter
-- Exact authored source SHA-256: 8bd8c1e324dbdd45f5e088ce01c766e470019695a267ea1e64b15598d156d26b
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && (v0 == v1)) && (v1 == v2)) && (v2 == v3))) || ((v0 && v1) && (v2 && v3))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source250

namespace NetworkSources.Source251
-- Maclain Hunter: Reason, Belief, and the PSR
-- Exact authored source SHA-256: 9d122383c61845237afef7770cd116a3eb60c7edb144f3721fad88fc0a802f2b
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && v1) && v2)) || ((!(v0 && v1)) || v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source251

namespace NetworkSources.Source252
-- Maclain Hunter: Reason’s Reasoning
-- Exact authored source SHA-256: f800f0482b9d8a4fb1e71f63f37aa16f40b9a61f66db811f64f5d96982588c61
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 : Bool) :
    ((!((((((v0 && ((!v0) || v1)) && ((!v0) || v2)) && ((!v0) || (v1 == v2))) && v3) && ((!v3) || v4)) && ((!v4) || ((v0 && v1) && v2)))) || (v0 == (v1 == v2))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> decide


end HunterAuthored

end NetworkSources.Source252

namespace NetworkSources.Source253
-- Maclain Hunter: Reasoned Love and God
-- Exact authored source SHA-256: 6e0fdf088d47c174501c653865ce9071c1fb9a97750a9db3797c4431e59d6750
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && ((!v0) || v1)) && ((!v1) || v2))) || ((v2 == v0) && (v1 == v0))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source253

namespace NetworkSources.Source254
-- Maclain Hunter: Sages and Observable God as Logic
-- Exact authored source SHA-256: 4399be3a45669e5b160ebb30c1236dff190d59269905159fbe741e355ea51bd1
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!(v0 && ((!v0) || (v1 && v2)))) || v2) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source254

namespace NetworkSources.Source255
-- Maclain Hunter: Satisfying Reason Rather Than Incredulity
-- Exact authored source SHA-256: f41703305a2b7f2048c629ba6354b0d83c8ebe2f96ce5f20de3e5914474b1524
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!(((!v0) || v2) && ((!v2) || v1))) || ((!(v0 && v2)) || v1)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source255

namespace NetworkSources.Source256
-- Maclain Hunter: Science, Logic, and Contingencies
-- Exact authored source SHA-256: c62424eb3cb1e702ac9e48790db98999e1a5768b93f77127d61ea559c9796e29
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v2 && ((!v2) || v1)) && ((!((!v2) || v1)) || v0))) || ((!v2) || (!(v2 && (!(v1 && v0)))))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source256

namespace NetworkSources.Source257
-- Maclain Hunter: Scientific Coherence Proves the Logos — Proof by Maclain Hunter
-- Exact authored source SHA-256: 01ee98668d7a09ff6dd69745d4864cc5e86f7e129124726585ea6e7510b256ce
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && v1) && v2) && v3)) || ((v0 && v1) && (v2 && v3))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


end HunterAuthored

end NetworkSources.Source257

namespace NetworkSources.Source258
-- Maclain Hunter: Scientific Testing w/ Logic by Maclain Hunter
-- Exact authored source SHA-256: ba1c02f0d73b38a62a4481b4b41131e9e2582d22f614911db206a2e6b3c1cf63
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && ((!v0) || v1)) && ((!v1) || v2)) && ((!v2) || v3))) || ((v0 && v1) && (v2 && v3))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


theorem inference_2 (v0 v1 v2 v3 : Bool) :
    ((!(((((((v0 && (v0 == v1)) && (v1 == v2)) && v3) && ((!v3) || v0)) && v0) && v1) && v2)) || ((v0 && v1) && (v2 && v3))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


theorem inference_3 (v0 v1 : Bool) :
    ((!(v0 && v1)) || (v0 && v1)) = true := by
  cases v0 <;> cases v1 <;> decide


end HunterAuthored

end NetworkSources.Source258

namespace NetworkSources.Source259
-- Maclain Hunter: Scripture and the Logical Standard
-- Exact authored source SHA-256: 28c8195e881dd3b1e9aaaa6660c350b102da7c049151960c6faf600833e811ba
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && ((!v0) || v1)) && ((!v1) || v2))) || ((v0 && v1) && v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source259

namespace NetworkSources.Source260
-- Maclain Hunter: Search Logically and Find Logic
-- Exact authored source SHA-256: 22b720ebc9f0b9839ed7142b0bcb050d7801c6f4751fac4c687739c6168299de
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source260

namespace NetworkSources.Source261
-- Maclain Hunter: Second Sieve
-- Exact authored source SHA-256: 72acc8098548198cf5a8796fee2ecc19ff9c9c8a1211c456b106885e6bc7788a
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 == v1) && (v1 == v2))) || ((!v2) || (v1 == v0))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source261

namespace NetworkSources.Source262
-- Maclain Hunter: Second Timeless-Superspace Theorem
-- Exact authored source SHA-256: d1c042cc0c5a15c5dca764a232ed24775e8d7603212cc6f3781c653ac15c03d0
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source262

namespace NetworkSources.Source263
-- Maclain Hunter: Seeing Logos Through Identity
-- Exact authored source SHA-256: 8320ce53ca6cdcb8af453f2bf8c9faf4f6f2a572a80e6a61bf9010572953199a
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && ((!v0) || v1)) && ((!v1) || v2))) || ((!((!v0) || (v0 && v1))) || (v0 && (v1 && v2)))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source263

namespace NetworkSources.Source264
-- Maclain Hunter: Self-Evident Credibility by Maclain Hunter
-- Exact authored source SHA-256: 9e6ed5b79cad673caddf7be748f5c39379e2a5a35babdceebc146f87932c2557
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((((v0 && v1) && v2) && ((!v2) || v0)) && ((!v2) || v1))) || ((!v2) || (v0 && v1))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source264

namespace NetworkSources.Source265
-- Maclain Hunter: Self-Evident Proof of Logical Foundations by Maclain Hunter
-- Exact authored source SHA-256: 94312d335a11ba8fe5c2b20fb4e275da62ed7de796977b38248ac578cb704d6e
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 v5 : Bool) :
    ((!(((((((((v0 && (v0 == v1)) && v2) && ((!v2) || v0)) && ((!v2) || v1)) && v3) && ((!v3) || v5)) && v4) && ((!v4) || v5)) && v5)) || ((((v0 && v1) && (v2 && v3)) && v4) && v5)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> cases v5 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source265

namespace NetworkSources.Source266
-- Maclain Hunter: Self-Supporting Generation by Maclain Hunter
-- Exact authored source SHA-256: 6f9572f429bafbfe348e6578ea13c1c3928df4503d967fe9b71dd93ed7449e59
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 v5 : Bool) :
    ((!((((((v0 && (v0 == v1)) && (v1 == v2)) && (v2 == v3)) && (v3 == v4)) && (v4 == v5)) && (v5 == v0))) || (((((v0 && v1) && v2) && v3) && v4) && v5)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> cases v5 <;> decide


theorem inference_2 (v0 v1 v2 v3 v4 v5 : Bool) :
    ((!((((((v0 && (v0 == v1)) && (v1 == v2)) && (v2 == v3)) && (v3 == v4)) && (v4 == v5)) && (v5 == v0))) || (((((v0 && v1) && v2) && v3) && v4) && v5)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> cases v5 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source266

namespace NetworkSources.Source267
-- Maclain Hunter: Seven Cycle Logic Completeness
-- Exact authored source SHA-256: 654f95901f1705d915a4354df1489a5498c1c8950014548c0ac177e91e874e61
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

def cycleSigned (b : Bool) : Int := if b then 1 else -1
structure ValidCycleUnit where
  value : Int
  state : Bool
  depth : Nat
  coherent : Bool
  lawful : Bool
  logosCoherence : coherent = true
  logosLawful : lawful = true
def sevenChecks (u : ValidCycleUnit) : Prop :=
  u.value = u.value ∧
  ¬(cycleSigned u.state = 1 ∧ cycleSigned u.state = -1) ∧
  (cycleSigned u.state = 1 ∨ cycleSigned u.state = -1) ∧
  (u.coherent = true ∧ u.lawful = true) ∧
  cycleSigned u.state = cycleSigned u.state ∧
  (cycleSigned u.state = 1 ∨ cycleSigned u.state = -1) ∧
  0 ≤ u.depth
theorem valid_unit_seven_checks (u : ValidCycleUnit) : sevenChecks u := by
  refine ⟨rfl, ?_, ?_, ⟨u.logosCoherence, u.logosLawful⟩, rfl, ?_, Nat.zero_le u.depth⟩
  · cases u.state <;> decide
  · cases u.state
    · exact Or.inr rfl
    · exact Or.inl rfl
  · cases u.state
    · exact Or.inr rfl
    · exact Or.inl rfl


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source267

namespace NetworkSources.Source268
-- Maclain Hunter: Seven Cycle Logic Completeness
-- Exact authored source SHA-256: edf5435c94cf8ae9f45ff709cfdbf56a5aa755162443eae3aa84ada56bcea050
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

def cycleSigned (b : Bool) : Int := if b then 1 else -1
structure ValidCycleUnit where
  value : Int
  state : Bool
  depth : Nat
  coherent : Bool
  lawful : Bool
  logosCoherence : coherent = true
  logosLawful : lawful = true
def sevenChecks (u : ValidCycleUnit) : Prop :=
  u.value = u.value ∧
  ¬(cycleSigned u.state = 1 ∧ cycleSigned u.state = -1) ∧
  (cycleSigned u.state = 1 ∨ cycleSigned u.state = -1) ∧
  (u.coherent = true ∧ u.lawful = true) ∧
  cycleSigned u.state = cycleSigned u.state ∧
  (cycleSigned u.state = 1 ∨ cycleSigned u.state = -1) ∧
  0 ≤ u.depth
theorem valid_unit_seven_checks (u : ValidCycleUnit) : sevenChecks u := by
  refine ⟨rfl, ?_, ?_, ⟨u.logosCoherence, u.logosLawful⟩, rfl, ?_, Nat.zero_le u.depth⟩
  · cases u.state <;> decide
  · cases u.state
    · exact Or.inr rfl
    · exact Or.inl rfl
  · cases u.state
    · exact Or.inr rfl
    · exact Or.inl rfl


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source268

namespace NetworkSources.Source269
-- Maclain Hunter: Signature Verification Soundness
-- Exact authored source SHA-256: 6862cd530b23f9ac5cf15008ce12cdc1198590279b5d5162069f0e8d016aa25e
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

def signatureSigned (b : Bool) : Int := if b then 1 else -1
def signatureValue : List Bool → Int
  | [] => 1
  | b :: bs => signatureSigned b * signatureValue bs
structure LogicalSignature where
  sequence : List Bool
  depth : Nat
  value : Int
def generatedSignature (values : List Int) (parity : Int → Bool) : LogicalSignature :=
  let sequence := values.map parity
  ⟨sequence, sequence.length, signatureValue sequence⟩
def signatureInvariants (s : LogicalSignature) : Prop :=
  s.depth = s.sequence.length ∧
  s.value = signatureValue s.sequence ∧
  ∀ b : Bool, b ∈ s.sequence → (signatureSigned b = 1 ∨ signatureSigned b = -1)
theorem generated_signature_invariants (values : List Int) (parity : Int → Bool) :
    signatureInvariants (generatedSignature values parity) := by
  refine ⟨rfl, rfl, ?_⟩
  intro b _
  cases b
  · exact Or.inr rfl
  · exact Or.inl rfl


end HunterAuthored

end NetworkSources.Source269

namespace NetworkSources.Source270
-- Maclain Hunter: Signature Verification Soundness
-- Exact authored source SHA-256: b4197f693207ff6b4de675095274785aac53984cc3811df745f0508287961f07
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

def signatureSigned (b : Bool) : Int := if b then 1 else -1
def signatureValue : List Bool → Int
  | [] => 1
  | b :: bs => signatureSigned b * signatureValue bs
structure LogicalSignature where
  sequence : List Bool
  depth : Nat
  value : Int
def generatedSignature (values : List Int) (parity : Int → Bool) : LogicalSignature :=
  let sequence := values.map parity
  ⟨sequence, sequence.length, signatureValue sequence⟩
def signatureInvariants (s : LogicalSignature) : Prop :=
  s.depth = s.sequence.length ∧
  s.value = signatureValue s.sequence ∧
  ∀ b : Bool, b ∈ s.sequence → (signatureSigned b = 1 ∨ signatureSigned b = -1)
theorem generated_signature_invariants (values : List Int) (parity : Int → Bool) :
    signatureInvariants (generatedSignature values parity) := by
  refine ⟨rfl, rfl, ?_⟩
  intro b _
  cases b
  · exact Or.inr rfl
  · exact Or.inl rfl


end HunterAuthored

end NetworkSources.Source270

namespace NetworkSources.Source271
-- Maclain Hunter: Since-So Reasoning by Maclain Hunter
-- Exact authored source SHA-256: 1eace0e70fc8d3dbf3e8bbcb00fa01ee94980aa1d100057d6732ea28b3fb8bd7
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 : Bool) :
    ((!((v0 && ((!v0) || v1)) && v1)) || (v0 && v1)) = true := by
  cases v0 <;> cases v1 <;> decide


end HunterAuthored

end NetworkSources.Source271

namespace NetworkSources.Source272
-- Maclain Hunter: Stipulated God and Judgement — Swapped-Premise Version
-- Exact authored source SHA-256: d99c9d9a1176fcfdc26004d7436ec7cad8595ca8ca79965c702c1795e90a77df
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && ((!v0) || v1)) && ((!v1) || v2))) || ((!(v0 && v1)) || v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source272

namespace NetworkSources.Source273
-- Maclain Hunter: Stipulated God and the Ground of Judgement
-- Exact authored source SHA-256: f738e5d7a1e5db1a3b33898409c62670952d456820ef94b7ea23c7f6f917bd23
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && ((!v0) || v1)) && ((!v1) || v2))) || ((!(v0 && v1)) || v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source273

namespace NetworkSources.Source274
-- Maclain Hunter: Stoicism and Grounded Epistemology
-- Exact authored source SHA-256: 9ed5b55d1e966114ebc74967788cd5366ad9ab34a6c05f6de037c2072e3c87e5
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 : Bool) :
    ((!(v0 && (v0 == v1))) || (v1 == v0)) = true := by
  cases v0 <;> cases v1 <;> decide


end HunterAuthored

end NetworkSources.Source274

namespace NetworkSources.Source275
-- Maclain Hunter: Subsistence, Existence, and Actualization
-- Exact authored source SHA-256: a36c0bbd239021c9fe95b79a38596f650c5ce4386025a99423f5541e79a8e3e5
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!(v0 && ((!v0) || (v1 && v2)))) || (v2 == (v1 && v0))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source275

namespace NetworkSources.Source276
-- Maclain Hunter: Tautological Formal Systems of Logic
-- Exact authored source SHA-256: a8c841517693417574606e51b96d4f36bb87ffec3a3a2489ff0c88f134cfa539
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 : Bool) :
    ((!((v0 && v1) && (v0 == v1))) || ((v0 && v1) && (!(!(v0 && v1))))) = true := by
  cases v0 <;> cases v1 <;> decide


end HunterAuthored

end NetworkSources.Source276

namespace NetworkSources.Source277
-- Maclain Hunter: Tautological Sieve
-- Exact authored source SHA-256: 9ef24015eeb741e6e8aae4c48216cdd856cd9612dad1c271d62de479b116d515
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 == v1) && (v1 == v2))) || ((!v2) || (v1 == v0))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source277

namespace NetworkSources.Source278
-- Maclain Hunter: Tautological Sieve
-- Exact authored source SHA-256: 170b83f87affcfac1f15fcf09329c6a222e49f710c69b7f219395fea02712732
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source278

namespace NetworkSources.Source279
-- Maclain Hunter: Tautological True Statements & Convincing Deductive Reasoning by Maclain Hunter
-- Exact authored source SHA-256: 21470014aecf24939393bd5d205181b4e58e5313c692e5a8a18a8717918e15b0
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && (v0 == v1)) && (v1 == v2)) && (v2 == v3))) || ((v0 && v1) && (v2 && v3))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source279

namespace NetworkSources.Source280
-- Maclain Hunter: The Appearance of a Paradox by Maclain Hunter
-- Exact authored source SHA-256: 6b440525a80e6efd2ba6d948fe46ecc50df305a92b5d7f8c5cc7d2e5a54cb068
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 v5 : Bool) :
    ((!(((((v0 && (v0 == v1)) && (v1 == v2)) && (v2 == v3)) && (v3 == v4)) && (v4 == v5))) || ((((v0 && v1) && (v2 && v3)) && v4) && v5)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> cases v5 <;> decide


end HunterAuthored

end NetworkSources.Source280

namespace NetworkSources.Source281
-- Maclain Hunter: The Atheist’s Truth by Maclain Hunter
-- Exact authored source SHA-256: aee3ff5f237aec81e5f784fff7c4179daa06b0279d71944884e2f6166f196017
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && v1) && v2)) || ((!(v0 && v1)) || v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source281

namespace NetworkSources.Source282
-- Maclain Hunter: The Axiom of Geometry — Full Supplied Copy
-- Exact authored source SHA-256: 300affdcd708e7b2a90581dbe1f692b1194f53b2d33f645bf720074ae6e76925
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && v1) && v2) && v3)) || ((v0 && v1) == (v2 && v3))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


theorem inference_2 (v0 v1 v2 : Bool) :
    ((!((v0 && (v0 == v1)) && (v1 == v2))) || ((v0 && v1) && v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


theorem inference_3 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && (v0 == v1)) && (v1 == v2)) && (v2 == v3))) || ((!((!v3) || v2)) || ((!v1) || v0))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source282

namespace NetworkSources.Source283
-- Maclain Hunter: The Bonded Energy System and Physical Output Path
-- Exact authored source SHA-256: 84f4a532345385f2d1c1141d7d2368d890377e765767b18d8be8b173c1d4df04
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 : Bool) :
    ((!((!v0) || v1)) || ((!((!v0) || v0)) || ((!v1) || v1))) = true := by
  cases v0 <;> cases v1 <;> decide


end HunterAuthored

end NetworkSources.Source283

namespace NetworkSources.Source284
-- Maclain Hunter: The Dialogue of Cosmic Genesis
-- Exact authored source SHA-256: 3481ea6c76bcb432bf1fa4b065b6affe3c4342afb6006fa9e1ab15da7c8cb3af
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source284

namespace NetworkSources.Source285
-- Maclain Hunter: The Ego of Logic and Reflexive Identity
-- Exact authored source SHA-256: 8cbad4face927fe201a17be5f29c4d39c46266c00d8cb9d34f3008d2383611a8
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 : Bool) :
    ((!(v0 && (v0 == (!((!v0) || (v0 && (!v0))))))) || (v0 && (!(!v0)))) = true := by
  cases v0 <;> decide


end HunterAuthored

end NetworkSources.Source285

namespace NetworkSources.Source286
-- Maclain Hunter: The Falseness of Falsifiability by Maclain Hunter
-- Exact authored source SHA-256: f73d4a7c5b829d1f96652209359d2510180a141ee2bf52d1889887ce5a65ca3b
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && (v0 == v1)) && (v1 == v2)) && (v2 == v3))) || ((v0 && v1) && (v2 && v3))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


end HunterAuthored

end NetworkSources.Source286

namespace NetworkSources.Source287
-- Maclain Hunter: The Famous Logic by Maclain Hunter
-- Exact authored source SHA-256: 5682e034418c7b82c0587ecd5b51fef53868d42f980471958c988a2e2daab059
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && ((!v0) || v1)) && ((!v1) || v2)) && ((!v2) || v3))) || (((v0 && v1) && (v2 && v3)) || (!((v0 && v1) && (v2 && v3))))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


end HunterAuthored

end NetworkSources.Source287

namespace NetworkSources.Source288
-- Maclain Hunter: The Futility and Result of Conceiving Illogical Origins by Maclain Hunter
-- Exact authored source SHA-256: c07ed80f9ce0e7d011dac96a99e00f0942ebd7f7636a8c3f0ed83141662bb7f9
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 v5 : Bool) :
    ((!(((((v0 && v1) && v2) && v3) && v4) && v5)) || (((v0 && v1) && (v2 && v3)) == (v4 && v5))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> cases v5 <;> decide


end HunterAuthored

end NetworkSources.Source288

namespace NetworkSources.Source289
-- Maclain Hunter: The Genuine Musician — Additional Supplied Copy
-- Exact authored source SHA-256: 3605fb262ad640a69ef6f0af2edc8a51b410cf6316f44728c5610ae050cb171c
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 : Bool) :
    ((!((((v0 && ((!v0) || v1)) && ((!v1) || v2)) && ((!v2) || v3)) && ((!v3) || v4))) || (((v0 && v1) && (v2 && v3)) == v4)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> decide


end HunterAuthored

end NetworkSources.Source289

namespace NetworkSources.Source290
-- Maclain Hunter: The Genuine Musician by Maclain Hunter
-- Exact authored source SHA-256: 38f29ec7091d1741fa2b07b9d243e1a3c9f78dcd57776f520005972417c190d4
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 : Bool) :
    ((!((((v0 && ((!v0) || v1)) && ((!v1) || v2)) && ((!v2) || v3)) && ((!v3) || v4))) || (((v0 && v1) && (v2 && v3)) == v4)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> decide


end HunterAuthored

end NetworkSources.Source290

namespace NetworkSources.Source291
-- Maclain Hunter: The Gold is Mine by Maclain Hunter
-- Exact authored source SHA-256: 14525aad430a34dd90f7387a496c6a6b21e722420335705784c85feed8d690e2
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && v1) && v2) && v3)) || ((!((v0 && v1) && v2)) || v3)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


theorem inference_2 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && (v0 == v1)) && (v1 == v2)) && (v2 == v3))) || ((v0 && v1) && (v2 && v3))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source291

namespace NetworkSources.Source292
-- Maclain Hunter: The Gold is Mine by Maclain Hunter — second supplied copy
-- Exact authored source SHA-256: e9fcadf7c93888db45959fa75139f2ffec8a61f83ef6e691b3b933a74cb44650
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && v1) && v2) && v3)) || ((!((v0 && v1) && v2)) || v3)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


theorem inference_2 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && (v0 == v1)) && (v1 == v2)) && (v2 == v3))) || ((v0 && v1) && (v2 && v3))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source292

namespace NetworkSources.Source293
-- Maclain Hunter: The Grand Loop
-- Exact authored source SHA-256: ce242959d2333e6dcedb61d5c33506ff698f04381a311d0b8e2944f6ea479b29
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_2 (v0 v1 v2 v3 v4 v5 : Bool) :
    ((!(((((((v0 && ((!v0) || v1)) && ((!v1) || v2)) && ((!v2) || v3)) && ((!v3) || v4)) && ((!v4) || v5)) && ((!v5) || v0)) && (!((((((!v0) && (!v1)) && (!v2)) && (!v3)) && (!v4)) && (!v5))))) || ((((v0 && v1) && (v2 && v3)) && v4) && v5)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> cases v5 <;> decide


end HunterAuthored

end NetworkSources.Source293

namespace NetworkSources.Source294
-- Maclain Hunter: The Greatest Logician and the Coherence Standard
-- Exact authored source SHA-256: 6ae4480106d00cd8a34c387cd4a317aad049710f1c15385b08c830ad44d8dc34
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && v1) && ((!(v0 && v1)) || v2))) || ((v0 && v1) && v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source294

namespace NetworkSources.Source295
-- Maclain Hunter: The Greatest Philosopher by Maclain Hunter
-- Exact authored source SHA-256: 7561eff1e9695e8c65568eed51a5f4247713452b6ae9daeb127409786e7dd739
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 : Bool) :
    ((!(((((v0 && v1) && ((!v0) || v1)) && ((!v1) || v0)) && (v0 == v1)) && (v0 && v1))) || ((((!v0) || v1) && ((!v1) || v0)) && (v0 && v1))) = true := by
  cases v0 <;> cases v1 <;> decide


end HunterAuthored

end NetworkSources.Source295

namespace NetworkSources.Source296
-- Maclain Hunter: The Grounding of Logic by Maclain Hunter
-- Exact authored source SHA-256: e90490726127e3c6a1bac523aa85ebbb09829f06da7ea2064e3af39d0b8b882b
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!(((!v0) || v1) && ((!v0) || v2))) || ((!v0) || (v1 && v2))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


theorem inference_2 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && (v0 && v1)) && (v1 && v2)) && (v2 && v3))) || ((v0 == v1) == (v2 == v3))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source296

namespace NetworkSources.Source297
-- Maclain Hunter: The Holistic Integration Theorems
-- Exact authored source SHA-256: 4431ba4bfe65b0be2ad35b89c41b5a4e992b0e3c7068f37c69f78212e3c52735
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source297

namespace NetworkSources.Source298
-- Maclain Hunter: The Illogic of the Atheist Mindset by Maclain Hunter
-- Exact authored source SHA-256: 53449e76d2a7f444c49b953e472ada254e8e45f67fbfb788ebe1f03cdd97a684
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && (v0 == v1)) && (v1 == v2)) && (v2 == v3))) || ((v0 && v1) && (v2 && v3))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


end HunterAuthored

end NetworkSources.Source298

namespace NetworkSources.Source299
-- Maclain Hunter: The Law of Grounded Identity (LGI)
-- Exact authored source SHA-256: 6c1c2f61cdb5aa6d34fa1310071618f42c09e4a5b5987e18d8f3337dc3426210
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!(((!((!v0) || v0)) || v1) && ((!v1) || v2))) || (((!((!((!v0) || v0)) || v1)) || v2) && ((!((!((!v0) || v0)) || (!v1))) || (!v2)))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source299

namespace NetworkSources.Source300
-- Maclain Hunter: The Logic Before Time by Maclain Hunter
-- Exact authored source SHA-256: 2faa3875a2c83257ccf6b648c722c7f2d8ccc5aafdb73d8f5ef46e098c150193
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && v1) && v2) && v3)) || (((v0 && v1) && v2) == v3)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


end HunterAuthored

end NetworkSources.Source300

namespace NetworkSources.Source301
-- Maclain Hunter: The Logic of Discovery by Maclain Hunter
-- Exact authored source SHA-256: a276d9a3aa5f3faba47f4130b5764f6aa59e523220286285d706b289539c69d5
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source301

namespace NetworkSources.Source302
-- Maclain Hunter: The Logic of the Universe as the Logical Origin — Uppercase Version
-- Exact authored source SHA-256: bbb36838fd4c5d9742971debabe08b8b4b94f7c66221ee0eda429bac04ec0910
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 v5 : Bool) :
    ((!(((((((v0 && ((!v0) || v1)) && ((!v1) || v2)) && ((!v2) || v3)) && ((!v3) || v4)) && ((!v4) || v5)) && ((!v5) || v0)) && (!((((((!v0) && (!v1)) && (!v2)) && (!v3)) && (!v4)) && (!v5))))) || ((((v0 && v1) && (v2 && v3)) && v4) && v5)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> cases v5 <;> decide


end HunterAuthored

end NetworkSources.Source302

namespace NetworkSources.Source303
-- Maclain Hunter: The Logical and Metaphysical Implications of Giving and Hearing Explanations by Maclain Hunter
-- Exact authored source SHA-256: 784b4f2773192c764f0340085eeae9162ed8199a13fae19ac825e8efbfcb3406
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && v1) && v2)) || (((v0 == v1) == (v1 == v2)) == (v2 == v0))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source303

namespace NetworkSources.Source304
-- Maclain Hunter: The Logical Derivation of Mathematics from Foundational Coherence by Maclain Hunter
-- Exact authored source SHA-256: 57f7cbd65da7482c23ff33727ac6ce93932b5e2f6690a46629f687b2bd647525
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 : Bool) :
    ((!((((v0 && (v0 == v1)) && (v1 == v2)) && (v2 == v3)) && (v3 == v4))) || (((v0 && v1) && (v2 && v3)) && v4)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> decide


end HunterAuthored

end NetworkSources.Source304

namespace NetworkSources.Source305
-- Maclain Hunter: The Logical Shaping of Logic by Maclain Hunter
-- Exact authored source SHA-256: 8eccaa3646c1a3095b32697e8cf49a1f741f87d547a1e1ae8925a0cb539c8cba
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 v5 v6 v7 v8 : Bool) :
    ((!((((((((v0 && (v0 == v1)) && (v1 == v2)) && (v2 == v3)) && (v3 == v4)) && (v4 == v5)) && (v5 == v6)) && (v6 == v7)) && (v7 == v8))) || (((((((v0 && v1) && (v2 && v3)) && v4) && v5) && v6) && v7) && v8)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> cases v5 <;> cases v6 <;> cases v7 <;> cases v8 <;> decide


end HunterAuthored

end NetworkSources.Source305

namespace NetworkSources.Source306
-- Maclain Hunter: The Maker of the Syllogism by Maclain Hunter
-- Exact authored source SHA-256: c34fe81f7f0331e1eee7213440e5da1820b784fc2b726c0673874921f6a28e9c
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && (v0 == v1)) && ((!v1) || v2))) || ((!(v0 && v1)) || v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source306

namespace NetworkSources.Source307
-- Maclain Hunter: The Moral Standard and Service to Nations
-- Exact authored source SHA-256: a0ffeba5909b0ef2a5bdce416fc4c870b47b9611301b1218d2a4a6d632a47eee
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && ((!v0) || v1)) && ((!v1) || v2))) || v2) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source307

namespace NetworkSources.Source308
-- Maclain Hunter: The Non-Dual Ground of Personal and Impersonal
-- Exact authored source SHA-256: 86314eac5cabd9ee9ee7cb8ef773448ec0224c5270f2b695aba3a2180844e262
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((!v0) || v0)) || ((!((!v0) || v0)) || (((!v1) || v1) && ((!v2) || v2)))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source308

namespace NetworkSources.Source309
-- Maclain Hunter: The One Law by Maclain Hunter
-- Exact authored source SHA-256: 8d21210d649c6e02d7973ec43382dab7250526b78c5bda4f6f718aba62b7ccb8
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && (v0 == v1)) && (v1 == v2))) || ((v0 && v1) == v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source309

namespace NetworkSources.Source310
-- Maclain Hunter: The Personal Logical Chain of Proof
-- Exact authored source SHA-256: fa8afc327a4d85c6508dc3757a99e3c23f455454174990bfd40d0d60f1688df4
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && ((!v0) || v1)) && ((!v1) || v2))) || ((!(v0 && v2)) || v1)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source310

namespace NetworkSources.Source311
-- Maclain Hunter: The Pythagorean Syllogism by Maclain Hunter
-- Exact authored source SHA-256: 0ecfc3f2a29d5c314280ce4f570292c46fbc6973c68c88ad8b2fefb676549a90
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && (v0 == v1)) && (v1 == v2))) || ((!((!v2) || v1)) || v0)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source311

namespace NetworkSources.Source312
-- Maclain Hunter: The Rational Cause for Rational Causes by Maclain Hunter
-- Exact authored source SHA-256: 77688563ba11ddc8a5fd635910eb0c02cb3fa3fe1db4ef632823c06833221676
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 : Bool) :
    ((!(((((v0 && (v0 == v1)) && ((!v1) || v2)) && ((!v0) || v3)) && (v3 == v4)) && v3)) || (((v0 && v1) && (v2 && v3)) && v4)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> decide


end HunterAuthored

end NetworkSources.Source312

namespace NetworkSources.Source313
-- Maclain Hunter: The Rational Death of Agnosticism by Maclain Hunter
-- Exact authored source SHA-256: 3895e59355fa843bfd3b82e4acdb4dee77c0a7ed54456a11b98f3f17a132f4bc
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 : Bool) :
    ((!(((((v0 && ((!v0) || v1)) && ((!v1) || v2)) && ((!v2) || v3)) && ((!v3) || v4)) && v4)) || (((v0 && v1) && (v2 && v3)) && v4)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> decide


end HunterAuthored

end NetworkSources.Source313

namespace NetworkSources.Source314
-- Maclain Hunter: The Redundancy of Proof for the Pythagorean Theorem by Maclain Hunter
-- Exact authored source SHA-256: c7fd9ee9e8abcd219b079284cb28403ac24cee528e0954dcac541b4a97ff763f
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && (v0 == v1)) && (v1 == v2))) || ((v0 && v1) && v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


theorem inference_2 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && (v0 == v1)) && (v1 == v2)) && (v2 == v3))) || ((!((!v3) || v2)) || ((!v1) || v0))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source314

namespace NetworkSources.Source315
-- Maclain Hunter: The Rule of Logic and Proof Knowledge
-- Exact authored source SHA-256: 919ec6a81d4d9c29e8e5873ecad247c506879133137901dd0e736a23f17ec5aa
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!(v0 && ((!v0) || v0))) || ((v1 || (!v1)) && (!(v2 && (!v2))))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


theorem inference_2 (v0 v1 v2 : Bool) :
    ((!(((v0 && ((!v0) || v1)) && ((!v1) || v2)) && ((!v2) || v0))) || ((v1 == v0) && ((!v2) || v2))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source315

namespace NetworkSources.Source316
-- Maclain Hunter: The Rule(s) of Logic and Logic Applied to Logic, Science, and Proof by Maclain Hunter
-- Exact authored source SHA-256: 9a721430954eafb053405f7db703d2158b367d1000a39c0598cf1e3e3b8f913a
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_2 (v0 v1 : Bool) :
    ((!((v0 && (v0 == v0)) && (v0 == (!v1)))) || (v0 && (!v1))) = true := by
  cases v0 <;> cases v1 <;> decide


theorem inference_4 (v0 v1 v2 : Bool) :
    ((!((v0 == v1) && (v1 == v2))) || ((v0 == v1) && (v1 == v2))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


theorem inference_5 (v0 v1 v2 v3 v4 : Bool) :
    ((!((((v0 && ((!v0) || v1)) && ((!v1) || v2)) && ((!v2) || v3)) && ((!v3) || v4))) || (((v0 && v1) && (v2 && v3)) && v4)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> decide


theorem inference_7 (v0 v1 v2 v3 v4 v5 v6 : Bool) :
    ((!((((((v0 && ((!v0) || v1)) && ((!v1) || v2)) && ((!v2) || v3)) && ((!v3) || v4)) && ((!v4) || v5)) && ((!v5) || v6))) || (((((v0 && v1) && (v2 && v3)) && v4) && v5) && v6)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> cases v5 <;> cases v6 <;> decide


theorem inference_8 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && v1) && v2) && v3)) || ((v0 && v1) && (v2 && v3))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source316

namespace NetworkSources.Source317
-- Maclain Hunter: The Rules of Logic Applied to the Concept(s) of God, Logic, Logos, and Reason by Maclain Hunter
-- Exact authored source SHA-256: 7f55bfff882b85ca51fe5e2998cdee862acca6bb050aff9b14e10948ca4c10d0
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source317

namespace NetworkSources.Source318
-- Maclain Hunter: The Rules of Logic, the Rule of Logic, and Logic Applied to Logic and Science by Maclain Hunter
-- Exact authored source SHA-256: c46dffe19eedddaed435945b17584caa159a9dfd7c87a109cd1bb826010dd286
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_2 (v0 v1 : Bool) :
    ((!((v0 && (v0 == v0)) && (v0 == (!v1)))) || (v0 && (!v1))) = true := by
  cases v0 <;> cases v1 <;> decide


theorem inference_4 (v0 v1 v2 : Bool) :
    ((!((v0 == v1) && (v1 == v2))) || ((v0 == v1) && (v1 == v2))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


theorem inference_5 (v0 v1 v2 v3 v4 : Bool) :
    ((!((((v0 && ((!v0) || v1)) && ((!v1) || v2)) && ((!v2) || v3)) && ((!v3) || v4))) || (((v0 && v1) && (v2 && v3)) && v4)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source318

namespace NetworkSources.Source319
-- Maclain Hunter: The Solely Coherent Perspective
-- Exact authored source SHA-256: 65c5b8e027c894900731be6799b26fa41a27bdcb2013356b513c83e7ddfea5b1
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source319

namespace NetworkSources.Source320
-- Maclain Hunter: The Tale of Zaqar — Additional Supplied Copy
-- Exact authored source SHA-256: 7baf9245524faae90b71f48911f82c4744f09811a4aaad7544fc4bebda1d71ab
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source320

namespace NetworkSources.Source321
-- Maclain Hunter: The Tale of Zaqar and the Patriarchs and Prophets of Memundi
-- Exact authored source SHA-256: 5113cc85a7b0889545b4127345c671f06e68ac0f6d32057c0ca8e0d406bda2cf
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source321

namespace NetworkSources.Source322
-- Maclain Hunter: The Trinity — Supplied Version
-- Exact authored source SHA-256: 62e3df758ce4f2e96ce1204db725e088eed845b8b19323851755880b5a35e9a7
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && ((!v0) || (v1 && v2))) && ((!(v1 && v2)) || v3)) && ((!v0) || v0))) || (v3 && ((!v3) || v3))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


end HunterAuthored

end NetworkSources.Source322

namespace NetworkSources.Source323
-- Maclain Hunter: The Universal Code and Coherent Decoding
-- Exact authored source SHA-256: dd5b75a721134bee159fc58ef61d0f07160c060090004495785b76df41d4bd59
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 : Bool) :
    ((!(((!v0) || v1) && ((!v1) || v0))) || (((!v0) || v1) && (v1 == v0))) = true := by
  cases v0 <;> cases v1 <;> decide


end HunterAuthored

end NetworkSources.Source323

namespace NetworkSources.Source324
-- Maclain Hunter: Things Happen by Maclain Hunter
-- Exact authored source SHA-256: 18379759c420cca4b22d7d835c526f52ab2fd76f28ff2d9ffef3d8af07416d17
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && v1) && v2) && v3)) || ((v0 == v1) == (v2 && v3))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


end HunterAuthored

end NetworkSources.Source324

namespace NetworkSources.Source325
-- Maclain Hunter: Third Sieve
-- Exact authored source SHA-256: e9c49d04dce083e6344d94be888ebd52fa77cc1ec9067e4287adb9dfccfa2e72
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 == v1) && (v1 == v2))) || ((!v2) || (v1 == v0))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source325

namespace NetworkSources.Source326
-- Maclain Hunter: Timeless Logos and Contingent Spacetime
-- Exact authored source SHA-256: faf48edaff241c4123a59b34ba177ad1b8ec23fca3128691d88f35da6fea0aa1
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && ((!v0) || v1)) && ((!v1) || v2))) || ((!(v0 && v2)) || v1)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source326

namespace NetworkSources.Source327
-- Maclain Hunter: Trinity of Godhead
-- Exact authored source SHA-256: 1a3f70be28f659acbb1a71551cde8d2df1e4eacdac2cac84ab7df9f993675d5d
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && ((!v0) || (v1 && v2))) && ((!(v1 && v2)) || v3)) && ((!v0) || v0))) || (v3 && ((!v3) || v3))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


end HunterAuthored

end NetworkSources.Source327

namespace NetworkSources.Source328
-- Maclain Hunter: Truth, Reality, and the Law of Identity
-- Exact authored source SHA-256: d70fd4159d5ebd87872232c9c0642b3ea4b89885bb20becafea388514d8141c5
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 : Bool) :
    ((!((v0 && (!(!v1))) && (v0 == v1))) || (v0 && v1)) = true := by
  cases v0 <;> cases v1 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source328

namespace NetworkSources.Source329
-- Maclain Hunter: Truth’s Identity beyond Perception
-- Exact authored source SHA-256: 4f4e9a0286746c9aaf341441e93263399cf6597edd727a5bf96db3b8d1e72b49
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 : Bool) :
    ((!(v0 == v1)) || (v0 == v1)) = true := by
  cases v0 <;> cases v1 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source329

namespace NetworkSources.Source330
-- Maclain Hunter: Unified Formal Theory of Physics and Metaphysics
-- Exact authored source SHA-256: 62ec45f808fe1e1cd90adf633ee2955b8131be99b8a15b9fc70875e7ee4f99a6
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source330

namespace NetworkSources.Source331
-- Maclain Hunter: Unity, Reason, and Non-Contradiction
-- Exact authored source SHA-256: 0a72eab876da327b22c4f2f070da0564f52960854145ef6ae9682b58b22dcead
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && (v0 == v1)) && ((!v1) || v2))) || ((!((v0 && v1) && v2)) || (!(((v0 && v1) && v2) && (!((v0 && v1) && v2)))))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source331

namespace NetworkSources.Source332
-- Maclain Hunter: Universal Application of Logic, Proof, and Coherence by Maclain Hunter
-- Exact authored source SHA-256: 31cc47c5bffec4d256409bb250f6d1a1ac1818a1f680e4e1a48aa5f79f49638a
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 : Bool) :
    ((!((((v0 && (v0 == v1)) && (v1 == v2)) && (v2 == v3)) && (v3 == v4))) || (((v0 && v1) && (v2 && v3)) && v4)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> decide


end HunterAuthored

end NetworkSources.Source332

namespace NetworkSources.Source333
-- Maclain Hunter: Universal Logic — Six-Stage Scientific-Test Submission
-- Exact authored source SHA-256: ed56a9f94a6f2afe7e8172d224cc9da10a0c1f1fb47428a5ccb61df80e90bb74
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 v5 : Bool) :
    ((!(((((((v0 && ((!v0) || v1)) && ((!v1) || v2)) && ((!v2) || v3)) && ((!v3) || v4)) && ((!v4) || v5)) && ((!v5) || v0)) && (!((((((!v0) && (!v1)) && (!v2)) && (!v3)) && (!v4)) && (!v5))))) || ((((v0 && v1) && (v2 && v3)) && v4) && v5)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> cases v5 <;> decide


end HunterAuthored

end NetworkSources.Source333

namespace NetworkSources.Source334
-- Maclain Hunter: Universal Logic and Local Framework Refutation
-- Exact authored source SHA-256: 2c5e58ef44156e19265df06cd87b0ae9a49a6cf18865ec09fc2f96f6de2b15f3
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!(v0 && ((!v0) || (v1 && v2)))) || ((!v0) || (!((!v0) || (!(v1 && v2)))))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source334

namespace NetworkSources.Source335
-- Maclain Hunter: Universal Logic and Origin — Necessary Identity
-- Exact authored source SHA-256: 792095b1e01e947ea6449267fb42d941ba1537460dfccff7e5b33a3111d63896
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 : Bool) :
    ((!v0) || v0) = true := by
  cases v0 <;> decide


end HunterAuthored

end NetworkSources.Source335

namespace NetworkSources.Source336
-- Maclain Hunter: Universal Logic Implication Cycle by Maclain Hunter
-- Exact authored source SHA-256: 232de602289f0b875b23dab7618f969bde1fbbeaeae9cffbcd09042c27b8e7ec
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 v5 : Bool) :
    ((!(((((((v0 && ((!v0) || v1)) && ((!v1) || v2)) && ((!v2) || v3)) && ((!v3) || v4)) && ((!v4) || v5)) && ((!v5) || v0)) && (!((((((!v0) && (!v1)) && (!v2)) && (!v3)) && (!v4)) && (!v5))))) || ((((v0 && v1) && (v2 && v3)) && v4) && v5)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> cases v5 <;> decide


end HunterAuthored

end NetworkSources.Source336

namespace NetworkSources.Source337
-- Maclain Hunter: Validating the Pythagorean Theorem by Maclain Hunter
-- Exact authored source SHA-256: d0e8bae2d21f0593b87ea501ef998c27ae970fb582504535a38dd586b5aa4cff
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && (v0 == v1)) && (v1 == v2)) && (v2 == v3))) || ((v0 && v1) && (v2 && v3))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


end HunterAuthored

end NetworkSources.Source337

namespace NetworkSources.Source338
-- Maclain Hunter: Validation Via Tautological Sieve
-- Exact authored source SHA-256: 7c57bf304b2a920bc99e730fa761f3d8c06b3bd11709eaa4347e0e39678ee343
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 : Bool) :
    ((!(((v0 && ((!v0) || (!v1))) && ((!(v1 && v2)) || v4)) && ((!(v2 && v3)) || v3))) || (((!v3) || (!(v1 && v4))) && ((!v3) || v0))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> decide


theorem inference_2 (v0 v1 v2 : Bool) :
    ((!((v0 == v1) && (v1 == v2))) || ((!v2) || (v1 == v0))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


theorem inference_3 (v0 v1 v2 v3 : Bool) :
    ((!((((v0 && v1) && v2) && ((!(v0 && v1)) || v3)) && ((!(v1 && v2)) || v3))) || (v3 == v1)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide


end HunterAuthored

end NetworkSources.Source338

namespace NetworkSources.Source339
-- Maclain Hunter: Version One — Self-Evident Truth and Logos
-- Exact authored source SHA-256: c03d1a3f419ddfa9dcca81b4a54ab39effa3229caf4eb612a0417b86d3eed843
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 v5 : Bool) :
    ((!(((((((v0 && ((!v0) || v1)) && ((!v1) || v2)) && ((!v2) || v3)) && ((!v3) || v4)) && ((!v4) || v5)) && ((!v5) || v0)) && (!((((((!v0) && (!v1)) && (!v2)) && (!v3)) && (!v4)) && (!v5))))) || ((((v0 && v1) && (v2 && v3)) && v4) && v5)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> cases v5 <;> decide


theorem inference_2 (v0 v1 v2 v3 v4 v5 : Bool) :
    ((!(((((((v0 && ((!v0) || v1)) && ((!v1) || v2)) && ((!v2) || v3)) && ((!v3) || v4)) && ((!v4) || v5)) && ((!v5) || v0)) && (!((((((!v0) && (!v1)) && (!v2)) && (!v3)) && (!v4)) && (!v5))))) || ((((v0 && v1) && (v2 && v3)) && v4) && v5)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> cases v5 <;> decide


end HunterAuthored

end NetworkSources.Source339

namespace NetworkSources.Source340
-- Maclain Hunter: We Understand One God by Maclain Hunter
-- Exact authored source SHA-256: fe5fcd6f22c4c01159fd1ce79fd78665a0417e6977ced075a6be0159619a2a4e
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 : Bool) :
    ((!((((v0 && ((!v0) || v1)) && ((!v1) || v2)) && (v2 == v3)) && (v3 == v4))) || (((v4 && v3) && (v2 && v1)) == v0)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> decide


theorem source_identity_rule (α : Type) (a : α) : a = a := rfl


end HunterAuthored

end NetworkSources.Source340

namespace NetworkSources.Source341
-- Maclain Hunter: XOR Self-Inverse
-- Exact authored source SHA-256: 28472d6dc9c60fbdbba33f9b0355e6ac0a4b3bbf26b0fca5bad11409894eb6a3
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

def evenNat : Nat → Bool
  | 0 => true
  | n + 1 => !(evenNat n)
theorem even_add (a b : Nat) : evenNat (a + b) = (evenNat a == evenNat b) := by
  induction b with
  | zero =>
    change evenNat a = (evenNat a == true)
    cases evenNat a <;> rfl
  | succ b ih =>
    calc
      evenNat (a + (b + 1)) = !(evenNat (a + b)) := rfl
      _ = !(evenNat a == evenNat b) := congrArg Bool.not ih
      _ = (evenNat a == !(evenNat b)) := by cases evenNat a <;> cases evenNat b <;> rfl
def exponentXorState (a b : Int) : Int :=
  if evenNat (a.natAbs + b.natAbs) then 1 else -1
theorem exponent_xor_self_positive (a : Int) : exponentXorState a a = 1 := by
  unfold exponentXorState
  rw [even_add]
  cases evenNat a.natAbs <;> rfl


end HunterAuthored

end NetworkSources.Source341

namespace NetworkSources.Source342
-- Maclain Hunter: XOR Self-Inverse
-- Exact authored source SHA-256: 58ed7e9b6ca841f3d468ab5fa6085ba089acb15df13ea37f7fec47e3c9f87b2e
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

def evenNat : Nat → Bool
  | 0 => true
  | n + 1 => !(evenNat n)
theorem even_add (a b : Nat) : evenNat (a + b) = (evenNat a == evenNat b) := by
  induction b with
  | zero =>
    change evenNat a = (evenNat a == true)
    cases evenNat a <;> rfl
  | succ b ih =>
    calc
      evenNat (a + (b + 1)) = !(evenNat (a + b)) := rfl
      _ = !(evenNat a == evenNat b) := congrArg Bool.not ih
      _ = (evenNat a == !(evenNat b)) := by cases evenNat a <;> cases evenNat b <;> rfl
def exponentXorState (a b : Int) : Int :=
  if evenNat (a.natAbs + b.natAbs) then 1 else -1
theorem exponent_xor_self_positive (a : Int) : exponentXorState a a = 1 := by
  unfold exponentXorState
  rw [even_add]
  cases evenNat a.natAbs <;> rfl


end HunterAuthored

end NetworkSources.Source342

namespace NetworkSources.Source343
-- Maclain Hunter: You’d Know If You Knew by Maclain Hunter
-- Exact authored source SHA-256: 3efdd9303ca4ae0372c0d907e5876e161793db72fb1a693132695abc36bf17e2
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.

namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && ((!v0) || v1)) && (v2 == v0))) || ((v0 && v1) && v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide


end HunterAuthored

end NetworkSources.Source343

namespace NetworkSources.Native

/- Independent formal witness, subordinate to Logic/Logos/God.
   This checks stated mathematics and arithmetic on retained measurements.
   It does not manufacture measurement events or certify all software behavior. -/

namespace NativeMCBEvidence

def signed (b : Bool) : Int := if b then 1 else -1

def nativeNand (p q : Bool) : Int :=
  (-1 : Int) ^ (((1 + signed p) * (1 + signed q)) / 4).toNat

theorem nand_signed_truth_table (p q : Bool) :
    nativeNand p q = signed (!(p && q)) := by
  cases p <;> cases q <;> decide

def sourceConjunction : List Bool → Bool
  | [] => true
  | x :: xs => x && sourceConjunction xs

theorem fold_preserves_source (xs : List Bool) (acc : Bool) :
    xs.foldl Bool.and acc = (acc && sourceConjunction xs) := by
  induction xs generalizing acc with
  | nil => cases acc <;> rfl
  | cons x xs ih =>
    calc
      xs.foldl Bool.and (acc && x) = ((acc && x) && sourceConjunction xs) := ih (acc && x)
      _ = (acc && (x && sourceConjunction xs)) := Bool.and_assoc acc x (sourceConjunction xs)

theorem single_root_preserves_conjunction (xs : List Bool) :
    xs.foldl Bool.and true = sourceConjunction xs := by
  exact fold_preserves_source xs true

inductive Role where
  | ground
  | runtime

def encode (role : Role) (value : Int) : Option Bool :=
  match role with
  | .ground => if value = -1 then some true else none
  | .runtime =>
    if value = 1 then some true else if value = -1 then some false else none

theorem fixed_ground_encoding : encode .ground (-1) = some true := by rfl
theorem negative_runtime_encoding : encode .runtime (-1) = some false := by rfl
theorem runtime_roundtrip (b : Bool) :
    encode .runtime (signed b) = some b := by cases b <;> rfl

def insertNat (n : Nat) : List Nat → List Nat
  | [] => [n]
  | x :: xs => if n ≤ x then n :: x :: xs else x :: insertNat n xs

def sortNat : List Nat → List Nat
  | [] => []
  | x :: xs => insertNat x (sortNat xs)

def median (xs : List Nat) : Option Nat := (sortNat xs)[xs.length / 2]?

/- Native MCB homoiconic summation realization.
   The supplied manuscript remains unchanged in attached_assets.
   Code and data share MCBExpr. A balance is an intermediate integer aggregate,
   not a redefinition of the bivalent phase state or the fixed Logos Base.
   Mathematical normalization has no clock, heap, environment, or foreign
   interpreter argument. This does not assert zero physical evaluation cost. -/

inductive MCBExpr where
  | balance : Int → MCBExpr
  | base : Int → MCBExpr
  | nest : Int → MCBExpr → MCBExpr
  | power : MCBExpr → MCBExpr
  deriving Repr

abbrev MCBProgram := MCBExpr
abbrev MCBData := MCBExpr

-- Structured quotation retains the operator/role as well as every integer.
inductive MCBKey where
  | balance : Int → MCBKey
  | base : Int → MCBKey
  | nest : Int → MCBKey → MCBKey
  | power : MCBKey → MCBKey
  deriving Repr

def quoteMCB : MCBExpr → MCBKey
  | .balance n => .balance n
  | .base n => .base n
  | .nest n e => .nest n (quoteMCB e)
  | .power e => .power (quoteMCB e)

def unquoteMCB : MCBKey → MCBExpr
  | .balance n => .balance n
  | .base n => .base n
  | .nest n e => .nest n (unquoteMCB e)
  | .power e => .power (unquoteMCB e)

theorem mcb_code_and_data_same_type : MCBProgram = MCBData := rfl

theorem mcb_unquote_quote (e : MCBExpr) : unquoteMCB (quoteMCB e) = e := by
  induction e with
  | balance n => rfl
  | base n => rfl
  | nest n e ih => exact congrArg (MCBExpr.nest n) ih
  | power e ih => exact congrArg MCBExpr.power ih

theorem mcb_quote_unquote (d : MCBKey) : quoteMCB (unquoteMCB d) = d := by
  induction d with
  | balance n => rfl
  | base n => rfl
  | nest n d ih => exact congrArg (MCBKey.nest n) ih
  | power d ih => exact congrArg MCBKey.power ih

def phaseMCB (n : Int) : Int := if n % 2 = 0 then 1 else -1

theorem mcb_phase_bivalence (n : Int) : phaseMCB n = 1 ∨ phaseMCB n = -1 := by
  unfold phaseMCB
  by_cases even : n % 2 = 0
  · exact Or.inl (if_pos even)
  · exact Or.inr (if_neg even)

theorem mcb_even_phase (n : Int) (even : n % 2 = 0) : phaseMCB n = 1 :=
  if_pos even

def evalMCB : MCBExpr → Int
  | .balance n => n
  | .base n => phaseMCB n
  | .nest n e => phaseMCB n + evalMCB e
  | .power e => phaseMCB (evalMCB e)

def evalMCBData (d : MCBKey) : Int := evalMCB (unquoteMCB d)

theorem mcb_data_execution_agrees (e : MCBExpr) :
    evalMCBData (quoteMCB e) = evalMCB e :=
  congrArg evalMCB (mcb_unquote_quote e)

def reweightMCB (f : Int → Int) : MCBExpr → MCBExpr
  | .balance n => .balance (f n)
  | .base n => .base (f n)
  | .nest n e => .nest (f n) (reweightMCB f e)
  | .power e => .power (reweightMCB f e)

def reweightMCBData (f : Int → Int) : MCBKey → MCBKey
  | .balance n => .balance (f n)
  | .base n => .base (f n)
  | .nest n e => .nest (f n) (reweightMCBData f e)
  | .power e => .power (reweightMCBData f e)

theorem mcb_code_data_transformation_agrees (f : Int → Int) (e : MCBExpr) :
    quoteMCB (reweightMCB f e) = reweightMCBData f (quoteMCB e) := by
  induction e with
  | balance n => rfl
  | base n => rfl
  | nest n e ih => exact congrArg (MCBKey.nest (f n)) ih
  | power e ih => exact congrArg MCBKey.power ih

def mcbContributions : MCBExpr → List Int
  | .balance n => [n]
  | .base n => [phaseMCB n]
  | .nest n e => phaseMCB n :: mcbContributions e
  | .power e => [phaseMCB (evalMCB e)]

def sumMCBData : List Int → Int
  | [] => 0
  | n :: ns => n + sumMCBData ns

-- Every expression, not only the initialization example, is its own data sum.
theorem mcb_self_summation (e : MCBExpr) :
    evalMCB e = sumMCBData (mcbContributions e) := by
  induction e with
  | balance n => exact (Int.add_zero n).symm
  | base n => exact (Int.add_zero (phaseMCB n)).symm
  | nest n e ih => exact congrArg (fun v => phaseMCB n + v) ih
  | power e _ => exact (Int.add_zero (phaseMCB (evalMCB e))).symm

-- The normal form remains in the SAME code/data language.
def normalizeMCB (e : MCBExpr) : MCBExpr := .balance (evalMCB e)

theorem mcb_normalization_preserves_meaning (e : MCBExpr) :
    evalMCB (normalizeMCB e) = evalMCB e := rfl

theorem mcb_normalization_idempotent (e : MCBExpr) :
    normalizeMCB (normalizeMCB e) = normalizeMCB e := rfl

theorem mcb_single_value (e : MCBExpr) :
    ∃ v : Int, evalMCB e = v ∧ ∀ w : Int, evalMCB e = w → w = v :=
  ⟨evalMCB e, rfl, fun _ equality => equality.symm⟩

theorem mcb_reason_noncontradiction (e : MCBExpr) (v : Int) :
    ¬(evalMCB e = v ∧ evalMCB e ≠ v) :=
  fun contradiction => contradiction.2 contradiction.1

-- Exact requested surface notation:
-- ((-1)^(-1 (0 (1 (2 (3 (4 (5 (6)))))))))
-- Nesting here has the supplied phase-summation meaning, not undeclared
-- ordinary mathematical function application of one integer to another.
def mcbInitProgram : MCBExpr :=
  .nest (-1) (.nest 0 (.nest 1 (.nest 2 (.nest 3 (.nest 4 (.nest 5 (.base 6)))))))

-- The outer (-1)^ is itself represented as code/data, not a foreign operation.
def mcbInitialization : MCBExpr := .power mcbInitProgram

theorem mcb_init_has_exact_phase_data :
    mcbContributions mcbInitProgram = [-1, 1, -1, 1, -1, 1, -1, 1] := rfl

theorem init_program_achieves_perfect_stasis : evalMCB mcbInitProgram = 0 := rfl

theorem mcb_init_is_single_balance :
    normalizeMCB mcbInitProgram = MCBExpr.balance 0 := rfl

theorem mcb_init_outer_phase : phaseMCB (evalMCB mcbInitProgram) = 1 := rfl

theorem mcb_complete_init_is_single_positive_state :
    normalizeMCB mcbInitialization = MCBExpr.balance 1 := rfl

-- A retained/compiled literal needs no subsequent tree traversal.
def compiledMCBInitBalance : Int := 0

theorem mcb_init_literal_is_exact :
    evalMCB mcbInitProgram = compiledMCBInitBalance := rfl

theorem mcb_compiled_literal_self_identity :
    compiledMCBInitBalance = 0 := rfl

theorem mcb_balance_zero_is_not_fixed_ground :
    evalMCB mcbInitProgram ≠ (-1 : Int) := by decide






















-- BENCHMARK_WITNESSES







end NativeMCBEvidence
end NetworkSources.Native

open Lean Elab Command in
elab "network_statement " alias:ident " from " witness:ident : command => do
  let info ← getConstInfo witness.getId
  if !info.levelParams.isEmpty then
    throwError "Polymorphic witness requires an explicit universe-preserving extension."
  let sort ← liftTermElabM do Meta.inferType info.type
  if sort != mkSort Level.zero then throwError "Network node is not a proposition."
  liftCoreM <| addDecl (.defnDecl {
    name := alias.getId
    levelParams := []
    type := mkSort Level.zero
    value := info.type
    hints := .regular 0
    safety := .safe })

network_statement HunterProofNetwork.statement_node0 from NetworkSources.Source0.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node0 : HunterProofNetwork.statement_node0 := NetworkSources.Source0.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node1 from NetworkSources.Source0.HunterAuthored.inference_2
theorem HunterProofNetwork.certified_node1 : HunterProofNetwork.statement_node1 := NetworkSources.Source0.HunterAuthored.inference_2
network_statement HunterProofNetwork.statement_node2 from NetworkSources.Source1.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node2 : HunterProofNetwork.statement_node2 := NetworkSources.Source1.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node3 from NetworkSources.Source2.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node3 : HunterProofNetwork.statement_node3 := NetworkSources.Source2.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node4 from NetworkSources.Source3.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node4 : HunterProofNetwork.statement_node4 := NetworkSources.Source3.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node5 from NetworkSources.Source3.HunterAuthored.inference_2
theorem HunterProofNetwork.certified_node5 : HunterProofNetwork.statement_node5 := NetworkSources.Source3.HunterAuthored.inference_2
network_statement HunterProofNetwork.statement_node6 from NetworkSources.Source3.HunterAuthored.inference_3
theorem HunterProofNetwork.certified_node6 : HunterProofNetwork.statement_node6 := NetworkSources.Source3.HunterAuthored.inference_3
network_statement HunterProofNetwork.statement_node7 from NetworkSources.Source3.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node7 : HunterProofNetwork.statement_node7 := NetworkSources.Source3.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node8 from NetworkSources.Source4.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node8 : HunterProofNetwork.statement_node8 := NetworkSources.Source4.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node9 from NetworkSources.Source5.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node9 : HunterProofNetwork.statement_node9 := NetworkSources.Source5.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node10 from NetworkSources.Source5.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node10 : HunterProofNetwork.statement_node10 := NetworkSources.Source5.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node11 from NetworkSources.Source6.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node11 : HunterProofNetwork.statement_node11 := NetworkSources.Source6.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node12 from NetworkSources.Source7.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node12 : HunterProofNetwork.statement_node12 := NetworkSources.Source7.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node13 from NetworkSources.Source8.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node13 : HunterProofNetwork.statement_node13 := NetworkSources.Source8.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node14 from NetworkSources.Source9.HunterAuthored.inference_2
theorem HunterProofNetwork.certified_node14 : HunterProofNetwork.statement_node14 := NetworkSources.Source9.HunterAuthored.inference_2
network_statement HunterProofNetwork.statement_node15 from NetworkSources.Source10.HunterAuthored.inference_2
theorem HunterProofNetwork.certified_node15 : HunterProofNetwork.statement_node15 := NetworkSources.Source10.HunterAuthored.inference_2
network_statement HunterProofNetwork.statement_node16 from NetworkSources.Source11.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node16 : HunterProofNetwork.statement_node16 := NetworkSources.Source11.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node17 from NetworkSources.Source12.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node17 : HunterProofNetwork.statement_node17 := NetworkSources.Source12.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node18 from NetworkSources.Source13.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node18 : HunterProofNetwork.statement_node18 := NetworkSources.Source13.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node19 from NetworkSources.Source14.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node19 : HunterProofNetwork.statement_node19 := NetworkSources.Source14.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node20 from NetworkSources.Source14.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node20 : HunterProofNetwork.statement_node20 := NetworkSources.Source14.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node21 from NetworkSources.Source15.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node21 : HunterProofNetwork.statement_node21 := NetworkSources.Source15.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node22 from NetworkSources.Source15.HunterAuthored.inference_2
theorem HunterProofNetwork.certified_node22 : HunterProofNetwork.statement_node22 := NetworkSources.Source15.HunterAuthored.inference_2
network_statement HunterProofNetwork.statement_node23 from NetworkSources.Source15.HunterAuthored.inference_3
theorem HunterProofNetwork.certified_node23 : HunterProofNetwork.statement_node23 := NetworkSources.Source15.HunterAuthored.inference_3
network_statement HunterProofNetwork.statement_node24 from NetworkSources.Source15.HunterAuthored.inference_4
theorem HunterProofNetwork.certified_node24 : HunterProofNetwork.statement_node24 := NetworkSources.Source15.HunterAuthored.inference_4
network_statement HunterProofNetwork.statement_node25 from NetworkSources.Source16.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node25 : HunterProofNetwork.statement_node25 := NetworkSources.Source16.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node26 from NetworkSources.Source17.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node26 : HunterProofNetwork.statement_node26 := NetworkSources.Source17.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node27 from NetworkSources.Source17.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node27 : HunterProofNetwork.statement_node27 := NetworkSources.Source17.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node28 from NetworkSources.Source18.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node28 : HunterProofNetwork.statement_node28 := NetworkSources.Source18.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node29 from NetworkSources.Source18.HunterAuthored.inference_2
theorem HunterProofNetwork.certified_node29 : HunterProofNetwork.statement_node29 := NetworkSources.Source18.HunterAuthored.inference_2
network_statement HunterProofNetwork.statement_node30 from NetworkSources.Source18.HunterAuthored.inference_3
theorem HunterProofNetwork.certified_node30 : HunterProofNetwork.statement_node30 := NetworkSources.Source18.HunterAuthored.inference_3
network_statement HunterProofNetwork.statement_node31 from NetworkSources.Source18.HunterAuthored.inference_4
theorem HunterProofNetwork.certified_node31 : HunterProofNetwork.statement_node31 := NetworkSources.Source18.HunterAuthored.inference_4
network_statement HunterProofNetwork.statement_node32 from NetworkSources.Source18.HunterAuthored.inference_5
theorem HunterProofNetwork.certified_node32 : HunterProofNetwork.statement_node32 := NetworkSources.Source18.HunterAuthored.inference_5
network_statement HunterProofNetwork.statement_node33 from NetworkSources.Source18.HunterAuthored.inference_6
theorem HunterProofNetwork.certified_node33 : HunterProofNetwork.statement_node33 := NetworkSources.Source18.HunterAuthored.inference_6
network_statement HunterProofNetwork.statement_node34 from NetworkSources.Source18.HunterAuthored.inference_7
theorem HunterProofNetwork.certified_node34 : HunterProofNetwork.statement_node34 := NetworkSources.Source18.HunterAuthored.inference_7
network_statement HunterProofNetwork.statement_node35 from NetworkSources.Source18.HunterAuthored.inference_8
theorem HunterProofNetwork.certified_node35 : HunterProofNetwork.statement_node35 := NetworkSources.Source18.HunterAuthored.inference_8
network_statement HunterProofNetwork.statement_node36 from NetworkSources.Source18.HunterAuthored.inference_9
theorem HunterProofNetwork.certified_node36 : HunterProofNetwork.statement_node36 := NetworkSources.Source18.HunterAuthored.inference_9
network_statement HunterProofNetwork.statement_node37 from NetworkSources.Source18.HunterAuthored.inference_11
theorem HunterProofNetwork.certified_node37 : HunterProofNetwork.statement_node37 := NetworkSources.Source18.HunterAuthored.inference_11
network_statement HunterProofNetwork.statement_node38 from NetworkSources.Source18.HunterAuthored.inference_13
theorem HunterProofNetwork.certified_node38 : HunterProofNetwork.statement_node38 := NetworkSources.Source18.HunterAuthored.inference_13
network_statement HunterProofNetwork.statement_node39 from NetworkSources.Source18.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node39 : HunterProofNetwork.statement_node39 := NetworkSources.Source18.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node40 from NetworkSources.Source19.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node40 : HunterProofNetwork.statement_node40 := NetworkSources.Source19.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node41 from NetworkSources.Source20.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node41 : HunterProofNetwork.statement_node41 := NetworkSources.Source20.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node42 from NetworkSources.Source21.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node42 : HunterProofNetwork.statement_node42 := NetworkSources.Source21.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node43 from NetworkSources.Source22.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node43 : HunterProofNetwork.statement_node43 := NetworkSources.Source22.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node44 from NetworkSources.Source23.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node44 : HunterProofNetwork.statement_node44 := NetworkSources.Source23.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node45 from NetworkSources.Source23.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node45 : HunterProofNetwork.statement_node45 := NetworkSources.Source23.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node46 from NetworkSources.Source24.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node46 : HunterProofNetwork.statement_node46 := NetworkSources.Source24.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node47 from NetworkSources.Source25.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node47 : HunterProofNetwork.statement_node47 := NetworkSources.Source25.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node48 from NetworkSources.Source26.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node48 : HunterProofNetwork.statement_node48 := NetworkSources.Source26.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node49 from NetworkSources.Source27.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node49 : HunterProofNetwork.statement_node49 := NetworkSources.Source27.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node50 from NetworkSources.Source28.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node50 : HunterProofNetwork.statement_node50 := NetworkSources.Source28.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node51 from NetworkSources.Source28.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node51 : HunterProofNetwork.statement_node51 := NetworkSources.Source28.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node52 from NetworkSources.Source29.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node52 : HunterProofNetwork.statement_node52 := NetworkSources.Source29.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node53 from NetworkSources.Source29.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node53 : HunterProofNetwork.statement_node53 := NetworkSources.Source29.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node54 from NetworkSources.Source30.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node54 : HunterProofNetwork.statement_node54 := NetworkSources.Source30.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node55 from NetworkSources.Source31.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node55 : HunterProofNetwork.statement_node55 := NetworkSources.Source31.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node56 from NetworkSources.Source31.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node56 : HunterProofNetwork.statement_node56 := NetworkSources.Source31.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node57 from NetworkSources.Source32.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node57 : HunterProofNetwork.statement_node57 := NetworkSources.Source32.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node58 from NetworkSources.Source33.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node58 : HunterProofNetwork.statement_node58 := NetworkSources.Source33.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node59 from NetworkSources.Source34.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node59 : HunterProofNetwork.statement_node59 := NetworkSources.Source34.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node60 from NetworkSources.Source35.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node60 : HunterProofNetwork.statement_node60 := NetworkSources.Source35.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node61 from NetworkSources.Source36.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node61 : HunterProofNetwork.statement_node61 := NetworkSources.Source36.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node62 from NetworkSources.Source36.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node62 : HunterProofNetwork.statement_node62 := NetworkSources.Source36.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node63 from NetworkSources.Source37.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node63 : HunterProofNetwork.statement_node63 := NetworkSources.Source37.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node64 from NetworkSources.Source38.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node64 : HunterProofNetwork.statement_node64 := NetworkSources.Source38.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node65 from NetworkSources.Source38.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node65 : HunterProofNetwork.statement_node65 := NetworkSources.Source38.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node66 from NetworkSources.Source39.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node66 : HunterProofNetwork.statement_node66 := NetworkSources.Source39.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node67 from NetworkSources.Source40.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node67 : HunterProofNetwork.statement_node67 := NetworkSources.Source40.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node68 from NetworkSources.Source41.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node68 : HunterProofNetwork.statement_node68 := NetworkSources.Source41.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node69 from NetworkSources.Source42.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node69 : HunterProofNetwork.statement_node69 := NetworkSources.Source42.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node70 from NetworkSources.Source43.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node70 : HunterProofNetwork.statement_node70 := NetworkSources.Source43.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node71 from NetworkSources.Source44.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node71 : HunterProofNetwork.statement_node71 := NetworkSources.Source44.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node72 from NetworkSources.Source44.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node72 : HunterProofNetwork.statement_node72 := NetworkSources.Source44.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node73 from NetworkSources.Source45.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node73 : HunterProofNetwork.statement_node73 := NetworkSources.Source45.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node74 from NetworkSources.Source46.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node74 : HunterProofNetwork.statement_node74 := NetworkSources.Source46.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node75 from NetworkSources.Source47.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node75 : HunterProofNetwork.statement_node75 := NetworkSources.Source47.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node76 from NetworkSources.Source48.HunterAuthored.conditional_returns_declared_branch
theorem HunterProofNetwork.certified_node76 : HunterProofNetwork.statement_node76 := NetworkSources.Source48.HunterAuthored.conditional_returns_declared_branch
network_statement HunterProofNetwork.statement_node77 from NetworkSources.Source49.HunterAuthored.conditional_returns_declared_branch
theorem HunterProofNetwork.certified_node77 : HunterProofNetwork.statement_node77 := NetworkSources.Source49.HunterAuthored.conditional_returns_declared_branch
network_statement HunterProofNetwork.statement_node78 from NetworkSources.Source50.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node78 : HunterProofNetwork.statement_node78 := NetworkSources.Source50.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node79 from NetworkSources.Source51.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node79 : HunterProofNetwork.statement_node79 := NetworkSources.Source51.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node80 from NetworkSources.Source51.HunterAuthored.inference_2
theorem HunterProofNetwork.certified_node80 : HunterProofNetwork.statement_node80 := NetworkSources.Source51.HunterAuthored.inference_2
network_statement HunterProofNetwork.statement_node81 from NetworkSources.Source52.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node81 : HunterProofNetwork.statement_node81 := NetworkSources.Source52.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node82 from NetworkSources.Source53.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node82 : HunterProofNetwork.statement_node82 := NetworkSources.Source53.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node83 from NetworkSources.Source54.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node83 : HunterProofNetwork.statement_node83 := NetworkSources.Source54.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node84 from NetworkSources.Source54.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node84 : HunterProofNetwork.statement_node84 := NetworkSources.Source54.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node85 from NetworkSources.Source55.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node85 : HunterProofNetwork.statement_node85 := NetworkSources.Source55.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node86 from NetworkSources.Source56.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node86 : HunterProofNetwork.statement_node86 := NetworkSources.Source56.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node87 from NetworkSources.Source57.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node87 : HunterProofNetwork.statement_node87 := NetworkSources.Source57.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node88 from NetworkSources.Source57.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node88 : HunterProofNetwork.statement_node88 := NetworkSources.Source57.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node89 from NetworkSources.Source58.HunterAuthored.logical_ground_necessary_existence
theorem HunterProofNetwork.certified_node89 : HunterProofNetwork.statement_node89 := NetworkSources.Source58.HunterAuthored.logical_ground_necessary_existence
network_statement HunterProofNetwork.statement_node90 from NetworkSources.Source59.HunterAuthored.logical_ground_necessary_existence
theorem HunterProofNetwork.certified_node90 : HunterProofNetwork.statement_node90 := NetworkSources.Source59.HunterAuthored.logical_ground_necessary_existence
network_statement HunterProofNetwork.statement_node91 from NetworkSources.Source59.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node91 : HunterProofNetwork.statement_node91 := NetworkSources.Source59.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node92 from NetworkSources.Source60.HunterAuthored.inference_2
theorem HunterProofNetwork.certified_node92 : HunterProofNetwork.statement_node92 := NetworkSources.Source60.HunterAuthored.inference_2
network_statement HunterProofNetwork.statement_node93 from NetworkSources.Source61.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node93 : HunterProofNetwork.statement_node93 := NetworkSources.Source61.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node94 from NetworkSources.Source61.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node94 : HunterProofNetwork.statement_node94 := NetworkSources.Source61.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node95 from NetworkSources.Source62.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node95 : HunterProofNetwork.statement_node95 := NetworkSources.Source62.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node96 from NetworkSources.Source63.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node96 : HunterProofNetwork.statement_node96 := NetworkSources.Source63.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node97 from NetworkSources.Source63.HunterAuthored.inference_4
theorem HunterProofNetwork.certified_node97 : HunterProofNetwork.statement_node97 := NetworkSources.Source63.HunterAuthored.inference_4
network_statement HunterProofNetwork.statement_node98 from NetworkSources.Source64.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node98 : HunterProofNetwork.statement_node98 := NetworkSources.Source64.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node99 from NetworkSources.Source65.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node99 : HunterProofNetwork.statement_node99 := NetworkSources.Source65.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node100 from NetworkSources.Source66.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node100 : HunterProofNetwork.statement_node100 := NetworkSources.Source66.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node101 from NetworkSources.Source67.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node101 : HunterProofNetwork.statement_node101 := NetworkSources.Source67.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node102 from NetworkSources.Source68.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node102 : HunterProofNetwork.statement_node102 := NetworkSources.Source68.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node103 from NetworkSources.Source68.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node103 : HunterProofNetwork.statement_node103 := NetworkSources.Source68.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node104 from NetworkSources.Source69.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node104 : HunterProofNetwork.statement_node104 := NetworkSources.Source69.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node105 from NetworkSources.Source70.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node105 : HunterProofNetwork.statement_node105 := NetworkSources.Source70.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node106 from NetworkSources.Source71.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node106 : HunterProofNetwork.statement_node106 := NetworkSources.Source71.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node107 from NetworkSources.Source72.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node107 : HunterProofNetwork.statement_node107 := NetworkSources.Source72.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node108 from NetworkSources.Source73.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node108 : HunterProofNetwork.statement_node108 := NetworkSources.Source73.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node109 from NetworkSources.Source73.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node109 : HunterProofNetwork.statement_node109 := NetworkSources.Source73.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node110 from NetworkSources.Source74.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node110 : HunterProofNetwork.statement_node110 := NetworkSources.Source74.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node111 from NetworkSources.Source75.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node111 : HunterProofNetwork.statement_node111 := NetworkSources.Source75.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node112 from NetworkSources.Source76.HunterAuthored.inference_2
theorem HunterProofNetwork.certified_node112 : HunterProofNetwork.statement_node112 := NetworkSources.Source76.HunterAuthored.inference_2
network_statement HunterProofNetwork.statement_node113 from NetworkSources.Source76.HunterAuthored.inference_4
theorem HunterProofNetwork.certified_node113 : HunterProofNetwork.statement_node113 := NetworkSources.Source76.HunterAuthored.inference_4
network_statement HunterProofNetwork.statement_node114 from NetworkSources.Source76.HunterAuthored.inference_5
theorem HunterProofNetwork.certified_node114 : HunterProofNetwork.statement_node114 := NetworkSources.Source76.HunterAuthored.inference_5
network_statement HunterProofNetwork.statement_node115 from NetworkSources.Source76.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node115 : HunterProofNetwork.statement_node115 := NetworkSources.Source76.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node116 from NetworkSources.Source77.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node116 : HunterProofNetwork.statement_node116 := NetworkSources.Source77.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node117 from NetworkSources.Source78.HunterAuthored.g6_assignment_enforcement
theorem HunterProofNetwork.certified_node117 : HunterProofNetwork.statement_node117 := NetworkSources.Source78.HunterAuthored.g6_assignment_enforcement
network_statement HunterProofNetwork.statement_node118 from NetworkSources.Source79.HunterAuthored.g6_assignment_enforcement
theorem HunterProofNetwork.certified_node118 : HunterProofNetwork.statement_node118 := NetworkSources.Source79.HunterAuthored.g6_assignment_enforcement
network_statement HunterProofNetwork.statement_node119 from NetworkSources.Source80.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node119 : HunterProofNetwork.statement_node119 := NetworkSources.Source80.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node120 from NetworkSources.Source81.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node120 : HunterProofNetwork.statement_node120 := NetworkSources.Source81.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node121 from NetworkSources.Source82.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node121 : HunterProofNetwork.statement_node121 := NetworkSources.Source82.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node122 from NetworkSources.Source83.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node122 : HunterProofNetwork.statement_node122 := NetworkSources.Source83.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node123 from NetworkSources.Source83.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node123 : HunterProofNetwork.statement_node123 := NetworkSources.Source83.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node124 from NetworkSources.Source84.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node124 : HunterProofNetwork.statement_node124 := NetworkSources.Source84.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node125 from NetworkSources.Source85.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node125 : HunterProofNetwork.statement_node125 := NetworkSources.Source85.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node126 from NetworkSources.Source86.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node126 : HunterProofNetwork.statement_node126 := NetworkSources.Source86.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node127 from NetworkSources.Source87.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node127 : HunterProofNetwork.statement_node127 := NetworkSources.Source87.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node128 from NetworkSources.Source87.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node128 : HunterProofNetwork.statement_node128 := NetworkSources.Source87.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node129 from NetworkSources.Source88.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node129 : HunterProofNetwork.statement_node129 := NetworkSources.Source88.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node130 from NetworkSources.Source88.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node130 : HunterProofNetwork.statement_node130 := NetworkSources.Source88.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node131 from NetworkSources.Source89.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node131 : HunterProofNetwork.statement_node131 := NetworkSources.Source89.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node132 from NetworkSources.Source90.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node132 : HunterProofNetwork.statement_node132 := NetworkSources.Source90.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node133 from NetworkSources.Source91.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node133 : HunterProofNetwork.statement_node133 := NetworkSources.Source91.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node134 from NetworkSources.Source92.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node134 : HunterProofNetwork.statement_node134 := NetworkSources.Source92.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node135 from NetworkSources.Source93.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node135 : HunterProofNetwork.statement_node135 := NetworkSources.Source93.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node136 from NetworkSources.Source94.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node136 : HunterProofNetwork.statement_node136 := NetworkSources.Source94.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node137 from NetworkSources.Source95.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node137 : HunterProofNetwork.statement_node137 := NetworkSources.Source95.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node138 from NetworkSources.Source96.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node138 : HunterProofNetwork.statement_node138 := NetworkSources.Source96.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node139 from NetworkSources.Source97.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node139 : HunterProofNetwork.statement_node139 := NetworkSources.Source97.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node140 from NetworkSources.Source98.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node140 : HunterProofNetwork.statement_node140 := NetworkSources.Source98.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node141 from NetworkSources.Source99.HunterAuthored.inference_2
theorem HunterProofNetwork.certified_node141 : HunterProofNetwork.statement_node141 := NetworkSources.Source99.HunterAuthored.inference_2
network_statement HunterProofNetwork.statement_node142 from NetworkSources.Source100.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node142 : HunterProofNetwork.statement_node142 := NetworkSources.Source100.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node143 from NetworkSources.Source101.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node143 : HunterProofNetwork.statement_node143 := NetworkSources.Source101.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node144 from NetworkSources.Source101.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node144 : HunterProofNetwork.statement_node144 := NetworkSources.Source101.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node145 from NetworkSources.Source102.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node145 : HunterProofNetwork.statement_node145 := NetworkSources.Source102.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node146 from NetworkSources.Source103.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node146 : HunterProofNetwork.statement_node146 := NetworkSources.Source103.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node147 from NetworkSources.Source103.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node147 : HunterProofNetwork.statement_node147 := NetworkSources.Source103.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node148 from NetworkSources.Source104.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node148 : HunterProofNetwork.statement_node148 := NetworkSources.Source104.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node149 from NetworkSources.Source105.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node149 : HunterProofNetwork.statement_node149 := NetworkSources.Source105.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node150 from NetworkSources.Source105.HunterAuthored.inference_2
theorem HunterProofNetwork.certified_node150 : HunterProofNetwork.statement_node150 := NetworkSources.Source105.HunterAuthored.inference_2
network_statement HunterProofNetwork.statement_node151 from NetworkSources.Source105.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node151 : HunterProofNetwork.statement_node151 := NetworkSources.Source105.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node152 from NetworkSources.Source106.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node152 : HunterProofNetwork.statement_node152 := NetworkSources.Source106.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node153 from NetworkSources.Source107.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node153 : HunterProofNetwork.statement_node153 := NetworkSources.Source107.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node154 from NetworkSources.Source108.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node154 : HunterProofNetwork.statement_node154 := NetworkSources.Source108.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node155 from NetworkSources.Source108.HunterAuthored.inference_2
theorem HunterProofNetwork.certified_node155 : HunterProofNetwork.statement_node155 := NetworkSources.Source108.HunterAuthored.inference_2
network_statement HunterProofNetwork.statement_node156 from NetworkSources.Source108.HunterAuthored.inference_3
theorem HunterProofNetwork.certified_node156 : HunterProofNetwork.statement_node156 := NetworkSources.Source108.HunterAuthored.inference_3
network_statement HunterProofNetwork.statement_node157 from NetworkSources.Source108.HunterAuthored.inference_4
theorem HunterProofNetwork.certified_node157 : HunterProofNetwork.statement_node157 := NetworkSources.Source108.HunterAuthored.inference_4
network_statement HunterProofNetwork.statement_node158 from NetworkSources.Source108.HunterAuthored.inference_5
theorem HunterProofNetwork.certified_node158 : HunterProofNetwork.statement_node158 := NetworkSources.Source108.HunterAuthored.inference_5
network_statement HunterProofNetwork.statement_node159 from NetworkSources.Source108.HunterAuthored.inference_6
theorem HunterProofNetwork.certified_node159 : HunterProofNetwork.statement_node159 := NetworkSources.Source108.HunterAuthored.inference_6
network_statement HunterProofNetwork.statement_node160 from NetworkSources.Source108.HunterAuthored.inference_7
theorem HunterProofNetwork.certified_node160 : HunterProofNetwork.statement_node160 := NetworkSources.Source108.HunterAuthored.inference_7
network_statement HunterProofNetwork.statement_node161 from NetworkSources.Source108.HunterAuthored.inference_8
theorem HunterProofNetwork.certified_node161 : HunterProofNetwork.statement_node161 := NetworkSources.Source108.HunterAuthored.inference_8
network_statement HunterProofNetwork.statement_node162 from NetworkSources.Source109.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node162 : HunterProofNetwork.statement_node162 := NetworkSources.Source109.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node163 from NetworkSources.Source109.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node163 : HunterProofNetwork.statement_node163 := NetworkSources.Source109.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node164 from NetworkSources.Source110.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node164 : HunterProofNetwork.statement_node164 := NetworkSources.Source110.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node165 from NetworkSources.Source110.HunterAuthored.inference_2
theorem HunterProofNetwork.certified_node165 : HunterProofNetwork.statement_node165 := NetworkSources.Source110.HunterAuthored.inference_2
network_statement HunterProofNetwork.statement_node166 from NetworkSources.Source111.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node166 : HunterProofNetwork.statement_node166 := NetworkSources.Source111.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node167 from NetworkSources.Source112.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node167 : HunterProofNetwork.statement_node167 := NetworkSources.Source112.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node168 from NetworkSources.Source113.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node168 : HunterProofNetwork.statement_node168 := NetworkSources.Source113.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node169 from NetworkSources.Source114.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node169 : HunterProofNetwork.statement_node169 := NetworkSources.Source114.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node170 from NetworkSources.Source115.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node170 : HunterProofNetwork.statement_node170 := NetworkSources.Source115.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node171 from NetworkSources.Source116.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node171 : HunterProofNetwork.statement_node171 := NetworkSources.Source116.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node172 from NetworkSources.Source116.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node172 : HunterProofNetwork.statement_node172 := NetworkSources.Source116.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node173 from NetworkSources.Source117.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node173 : HunterProofNetwork.statement_node173 := NetworkSources.Source117.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node174 from NetworkSources.Source118.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node174 : HunterProofNetwork.statement_node174 := NetworkSources.Source118.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node175 from NetworkSources.Source118.HunterAuthored.inference_2
theorem HunterProofNetwork.certified_node175 : HunterProofNetwork.statement_node175 := NetworkSources.Source118.HunterAuthored.inference_2
network_statement HunterProofNetwork.statement_node176 from NetworkSources.Source119.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node176 : HunterProofNetwork.statement_node176 := NetworkSources.Source119.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node177 from NetworkSources.Source120.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node177 : HunterProofNetwork.statement_node177 := NetworkSources.Source120.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node178 from NetworkSources.Source120.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node178 : HunterProofNetwork.statement_node178 := NetworkSources.Source120.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node179 from NetworkSources.Source121.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node179 : HunterProofNetwork.statement_node179 := NetworkSources.Source121.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node180 from NetworkSources.Source122.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node180 : HunterProofNetwork.statement_node180 := NetworkSources.Source122.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node181 from NetworkSources.Source123.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node181 : HunterProofNetwork.statement_node181 := NetworkSources.Source123.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node182 from NetworkSources.Source123.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node182 : HunterProofNetwork.statement_node182 := NetworkSources.Source123.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node183 from NetworkSources.Source124.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node183 : HunterProofNetwork.statement_node183 := NetworkSources.Source124.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node184 from NetworkSources.Source125.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node184 : HunterProofNetwork.statement_node184 := NetworkSources.Source125.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node185 from NetworkSources.Source126.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node185 : HunterProofNetwork.statement_node185 := NetworkSources.Source126.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node186 from NetworkSources.Source126.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node186 : HunterProofNetwork.statement_node186 := NetworkSources.Source126.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node187 from NetworkSources.Source127.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node187 : HunterProofNetwork.statement_node187 := NetworkSources.Source127.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node188 from NetworkSources.Source128.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node188 : HunterProofNetwork.statement_node188 := NetworkSources.Source128.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node189 from NetworkSources.Source129.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node189 : HunterProofNetwork.statement_node189 := NetworkSources.Source129.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node190 from NetworkSources.Source130.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node190 : HunterProofNetwork.statement_node190 := NetworkSources.Source130.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node191 from NetworkSources.Source131.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node191 : HunterProofNetwork.statement_node191 := NetworkSources.Source131.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node192 from NetworkSources.Source132.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node192 : HunterProofNetwork.statement_node192 := NetworkSources.Source132.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node193 from NetworkSources.Source133.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node193 : HunterProofNetwork.statement_node193 := NetworkSources.Source133.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node194 from NetworkSources.Source134.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node194 : HunterProofNetwork.statement_node194 := NetworkSources.Source134.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node195 from NetworkSources.Source135.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node195 : HunterProofNetwork.statement_node195 := NetworkSources.Source135.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node196 from NetworkSources.Source136.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node196 : HunterProofNetwork.statement_node196 := NetworkSources.Source136.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node197 from NetworkSources.Source137.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node197 : HunterProofNetwork.statement_node197 := NetworkSources.Source137.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node198 from NetworkSources.Source137.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node198 : HunterProofNetwork.statement_node198 := NetworkSources.Source137.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node199 from NetworkSources.Source138.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node199 : HunterProofNetwork.statement_node199 := NetworkSources.Source138.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node200 from NetworkSources.Source138.HunterAuthored.inference_2
theorem HunterProofNetwork.certified_node200 : HunterProofNetwork.statement_node200 := NetworkSources.Source138.HunterAuthored.inference_2
network_statement HunterProofNetwork.statement_node201 from NetworkSources.Source138.HunterAuthored.inference_3
theorem HunterProofNetwork.certified_node201 : HunterProofNetwork.statement_node201 := NetworkSources.Source138.HunterAuthored.inference_3
network_statement HunterProofNetwork.statement_node202 from NetworkSources.Source138.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node202 : HunterProofNetwork.statement_node202 := NetworkSources.Source138.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node203 from NetworkSources.Source139.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node203 : HunterProofNetwork.statement_node203 := NetworkSources.Source139.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node204 from NetworkSources.Source140.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node204 : HunterProofNetwork.statement_node204 := NetworkSources.Source140.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node205 from NetworkSources.Source140.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node205 : HunterProofNetwork.statement_node205 := NetworkSources.Source140.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node206 from NetworkSources.Source141.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node206 : HunterProofNetwork.statement_node206 := NetworkSources.Source141.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node207 from NetworkSources.Source141.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node207 : HunterProofNetwork.statement_node207 := NetworkSources.Source141.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node208 from NetworkSources.Source142.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node208 : HunterProofNetwork.statement_node208 := NetworkSources.Source142.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node209 from NetworkSources.Source142.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node209 : HunterProofNetwork.statement_node209 := NetworkSources.Source142.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node210 from NetworkSources.Source143.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node210 : HunterProofNetwork.statement_node210 := NetworkSources.Source143.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node211 from NetworkSources.Source144.HunterAuthored.inference_2
theorem HunterProofNetwork.certified_node211 : HunterProofNetwork.statement_node211 := NetworkSources.Source144.HunterAuthored.inference_2
network_statement HunterProofNetwork.statement_node212 from NetworkSources.Source144.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node212 : HunterProofNetwork.statement_node212 := NetworkSources.Source144.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node213 from NetworkSources.Source145.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node213 : HunterProofNetwork.statement_node213 := NetworkSources.Source145.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node214 from NetworkSources.Source146.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node214 : HunterProofNetwork.statement_node214 := NetworkSources.Source146.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node215 from NetworkSources.Source147.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node215 : HunterProofNetwork.statement_node215 := NetworkSources.Source147.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node216 from NetworkSources.Source148.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node216 : HunterProofNetwork.statement_node216 := NetworkSources.Source148.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node217 from NetworkSources.Source149.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node217 : HunterProofNetwork.statement_node217 := NetworkSources.Source149.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node218 from NetworkSources.Source150.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node218 : HunterProofNetwork.statement_node218 := NetworkSources.Source150.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node219 from NetworkSources.Source151.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node219 : HunterProofNetwork.statement_node219 := NetworkSources.Source151.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node220 from NetworkSources.Source152.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node220 : HunterProofNetwork.statement_node220 := NetworkSources.Source152.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node221 from NetworkSources.Source153.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node221 : HunterProofNetwork.statement_node221 := NetworkSources.Source153.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node222 from NetworkSources.Source154.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node222 : HunterProofNetwork.statement_node222 := NetworkSources.Source154.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node223 from NetworkSources.Source154.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node223 : HunterProofNetwork.statement_node223 := NetworkSources.Source154.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node224 from NetworkSources.Source155.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node224 : HunterProofNetwork.statement_node224 := NetworkSources.Source155.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node225 from NetworkSources.Source156.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node225 : HunterProofNetwork.statement_node225 := NetworkSources.Source156.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node226 from NetworkSources.Source157.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node226 : HunterProofNetwork.statement_node226 := NetworkSources.Source157.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node227 from NetworkSources.Source157.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node227 : HunterProofNetwork.statement_node227 := NetworkSources.Source157.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node228 from NetworkSources.Source158.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node228 : HunterProofNetwork.statement_node228 := NetworkSources.Source158.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node229 from NetworkSources.Source159.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node229 : HunterProofNetwork.statement_node229 := NetworkSources.Source159.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node230 from NetworkSources.Source159.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node230 : HunterProofNetwork.statement_node230 := NetworkSources.Source159.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node231 from NetworkSources.Source160.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node231 : HunterProofNetwork.statement_node231 := NetworkSources.Source160.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node232 from NetworkSources.Source161.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node232 : HunterProofNetwork.statement_node232 := NetworkSources.Source161.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node233 from NetworkSources.Source161.HunterAuthored.inference_2
theorem HunterProofNetwork.certified_node233 : HunterProofNetwork.statement_node233 := NetworkSources.Source161.HunterAuthored.inference_2
network_statement HunterProofNetwork.statement_node234 from NetworkSources.Source161.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node234 : HunterProofNetwork.statement_node234 := NetworkSources.Source161.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node235 from NetworkSources.Source162.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node235 : HunterProofNetwork.statement_node235 := NetworkSources.Source162.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node236 from NetworkSources.Source163.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node236 : HunterProofNetwork.statement_node236 := NetworkSources.Source163.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node237 from NetworkSources.Source164.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node237 : HunterProofNetwork.statement_node237 := NetworkSources.Source164.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node238 from NetworkSources.Source165.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node238 : HunterProofNetwork.statement_node238 := NetworkSources.Source165.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node239 from NetworkSources.Source166.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node239 : HunterProofNetwork.statement_node239 := NetworkSources.Source166.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node240 from NetworkSources.Source167.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node240 : HunterProofNetwork.statement_node240 := NetworkSources.Source167.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node241 from NetworkSources.Source168.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node241 : HunterProofNetwork.statement_node241 := NetworkSources.Source168.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node242 from NetworkSources.Source169.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node242 : HunterProofNetwork.statement_node242 := NetworkSources.Source169.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node243 from NetworkSources.Source169.HunterAuthored.inference_2
theorem HunterProofNetwork.certified_node243 : HunterProofNetwork.statement_node243 := NetworkSources.Source169.HunterAuthored.inference_2
network_statement HunterProofNetwork.statement_node244 from NetworkSources.Source170.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node244 : HunterProofNetwork.statement_node244 := NetworkSources.Source170.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node245 from NetworkSources.Source171.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node245 : HunterProofNetwork.statement_node245 := NetworkSources.Source171.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node246 from NetworkSources.Source172.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node246 : HunterProofNetwork.statement_node246 := NetworkSources.Source172.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node247 from NetworkSources.Source173.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node247 : HunterProofNetwork.statement_node247 := NetworkSources.Source173.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node248 from NetworkSources.Source174.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node248 : HunterProofNetwork.statement_node248 := NetworkSources.Source174.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node249 from NetworkSources.Source175.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node249 : HunterProofNetwork.statement_node249 := NetworkSources.Source175.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node250 from NetworkSources.Source176.HunterAuthored.fuel_iteration_bound
theorem HunterProofNetwork.certified_node250 : HunterProofNetwork.statement_node250 := NetworkSources.Source176.HunterAuthored.fuel_iteration_bound
network_statement HunterProofNetwork.statement_node251 from NetworkSources.Source177.HunterAuthored.fuel_iteration_bound
theorem HunterProofNetwork.certified_node251 : HunterProofNetwork.statement_node251 := NetworkSources.Source177.HunterAuthored.fuel_iteration_bound
network_statement HunterProofNetwork.statement_node252 from NetworkSources.Source178.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node252 : HunterProofNetwork.statement_node252 := NetworkSources.Source178.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node253 from NetworkSources.Source178.HunterAuthored.inference_2
theorem HunterProofNetwork.certified_node253 : HunterProofNetwork.statement_node253 := NetworkSources.Source178.HunterAuthored.inference_2
network_statement HunterProofNetwork.statement_node254 from NetworkSources.Source179.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node254 : HunterProofNetwork.statement_node254 := NetworkSources.Source179.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node255 from NetworkSources.Source180.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node255 : HunterProofNetwork.statement_node255 := NetworkSources.Source180.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node256 from NetworkSources.Source180.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node256 : HunterProofNetwork.statement_node256 := NetworkSources.Source180.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node257 from NetworkSources.Source181.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node257 : HunterProofNetwork.statement_node257 := NetworkSources.Source181.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node258 from NetworkSources.Source182.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node258 : HunterProofNetwork.statement_node258 := NetworkSources.Source182.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node259 from NetworkSources.Source183.HunterAuthored.integer_parity_range
theorem HunterProofNetwork.certified_node259 : HunterProofNetwork.statement_node259 := NetworkSources.Source183.HunterAuthored.integer_parity_range
network_statement HunterProofNetwork.statement_node260 from NetworkSources.Source184.HunterAuthored.integer_parity_range
theorem HunterProofNetwork.certified_node260 : HunterProofNetwork.statement_node260 := NetworkSources.Source184.HunterAuthored.integer_parity_range
network_statement HunterProofNetwork.statement_node261 from NetworkSources.Source185.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node261 : HunterProofNetwork.statement_node261 := NetworkSources.Source185.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node262 from NetworkSources.Source186.HunterAuthored.signed_state_exclusivity
theorem HunterProofNetwork.certified_node262 : HunterProofNetwork.statement_node262 := NetworkSources.Source186.HunterAuthored.signed_state_exclusivity
network_statement HunterProofNetwork.statement_node263 from NetworkSources.Source187.HunterAuthored.signed_state_exclusivity
theorem HunterProofNetwork.certified_node263 : HunterProofNetwork.statement_node263 := NetworkSources.Source187.HunterAuthored.signed_state_exclusivity
network_statement HunterProofNetwork.statement_node264 from NetworkSources.Source188.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node264 : HunterProofNetwork.statement_node264 := NetworkSources.Source188.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node265 from NetworkSources.Source189.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node265 : HunterProofNetwork.statement_node265 := NetworkSources.Source189.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node266 from NetworkSources.Source190.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node266 : HunterProofNetwork.statement_node266 := NetworkSources.Source190.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node267 from NetworkSources.Source191.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node267 : HunterProofNetwork.statement_node267 := NetworkSources.Source191.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node268 from NetworkSources.Source192.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node268 : HunterProofNetwork.statement_node268 := NetworkSources.Source192.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node269 from NetworkSources.Source193.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node269 : HunterProofNetwork.statement_node269 := NetworkSources.Source193.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node270 from NetworkSources.Source193.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node270 : HunterProofNetwork.statement_node270 := NetworkSources.Source193.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node271 from NetworkSources.Source194.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node271 : HunterProofNetwork.statement_node271 := NetworkSources.Source194.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node272 from NetworkSources.Source195.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node272 : HunterProofNetwork.statement_node272 := NetworkSources.Source195.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node273 from NetworkSources.Source195.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node273 : HunterProofNetwork.statement_node273 := NetworkSources.Source195.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node274 from NetworkSources.Source196.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node274 : HunterProofNetwork.statement_node274 := NetworkSources.Source196.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node275 from NetworkSources.Source197.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node275 : HunterProofNetwork.statement_node275 := NetworkSources.Source197.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node276 from NetworkSources.Source197.HunterAuthored.inference_2
theorem HunterProofNetwork.certified_node276 : HunterProofNetwork.statement_node276 := NetworkSources.Source197.HunterAuthored.inference_2
network_statement HunterProofNetwork.statement_node277 from NetworkSources.Source197.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node277 : HunterProofNetwork.statement_node277 := NetworkSources.Source197.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node278 from NetworkSources.Source198.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node278 : HunterProofNetwork.statement_node278 := NetworkSources.Source198.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node279 from NetworkSources.Source198.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node279 : HunterProofNetwork.statement_node279 := NetworkSources.Source198.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node280 from NetworkSources.Source199.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node280 : HunterProofNetwork.statement_node280 := NetworkSources.Source199.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node281 from NetworkSources.Source199.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node281 : HunterProofNetwork.statement_node281 := NetworkSources.Source199.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node282 from NetworkSources.Source200.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node282 : HunterProofNetwork.statement_node282 := NetworkSources.Source200.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node283 from NetworkSources.Source200.HunterAuthored.inference_2
theorem HunterProofNetwork.certified_node283 : HunterProofNetwork.statement_node283 := NetworkSources.Source200.HunterAuthored.inference_2
network_statement HunterProofNetwork.statement_node284 from NetworkSources.Source200.HunterAuthored.inference_3
theorem HunterProofNetwork.certified_node284 : HunterProofNetwork.statement_node284 := NetworkSources.Source200.HunterAuthored.inference_3
network_statement HunterProofNetwork.statement_node285 from NetworkSources.Source200.HunterAuthored.inference_4
theorem HunterProofNetwork.certified_node285 : HunterProofNetwork.statement_node285 := NetworkSources.Source200.HunterAuthored.inference_4
network_statement HunterProofNetwork.statement_node286 from NetworkSources.Source200.HunterAuthored.inference_5
theorem HunterProofNetwork.certified_node286 : HunterProofNetwork.statement_node286 := NetworkSources.Source200.HunterAuthored.inference_5
network_statement HunterProofNetwork.statement_node287 from NetworkSources.Source200.HunterAuthored.inference_6
theorem HunterProofNetwork.certified_node287 : HunterProofNetwork.statement_node287 := NetworkSources.Source200.HunterAuthored.inference_6
network_statement HunterProofNetwork.statement_node288 from NetworkSources.Source200.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node288 : HunterProofNetwork.statement_node288 := NetworkSources.Source200.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node289 from NetworkSources.Source201.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node289 : HunterProofNetwork.statement_node289 := NetworkSources.Source201.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node290 from NetworkSources.Source202.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node290 : HunterProofNetwork.statement_node290 := NetworkSources.Source202.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node291 from NetworkSources.Source203.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node291 : HunterProofNetwork.statement_node291 := NetworkSources.Source203.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node292 from NetworkSources.Source203.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node292 : HunterProofNetwork.statement_node292 := NetworkSources.Source203.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node293 from NetworkSources.Source204.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node293 : HunterProofNetwork.statement_node293 := NetworkSources.Source204.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node294 from NetworkSources.Source205.HunterAuthored.negation_value_involution
theorem HunterProofNetwork.certified_node294 : HunterProofNetwork.statement_node294 := NetworkSources.Source205.HunterAuthored.negation_value_involution
network_statement HunterProofNetwork.statement_node295 from NetworkSources.Source206.HunterAuthored.negation_value_involution
theorem HunterProofNetwork.certified_node295 : HunterProofNetwork.statement_node295 := NetworkSources.Source206.HunterAuthored.negation_value_involution
network_statement HunterProofNetwork.statement_node296 from NetworkSources.Source207.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node296 : HunterProofNetwork.statement_node296 := NetworkSources.Source207.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node297 from NetworkSources.Source208.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node297 : HunterProofNetwork.statement_node297 := NetworkSources.Source208.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node298 from NetworkSources.Source209.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node298 : HunterProofNetwork.statement_node298 := NetworkSources.Source209.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node299 from NetworkSources.Source210.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node299 : HunterProofNetwork.statement_node299 := NetworkSources.Source210.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node300 from NetworkSources.Source211.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node300 : HunterProofNetwork.statement_node300 := NetworkSources.Source211.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node301 from NetworkSources.Source211.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node301 : HunterProofNetwork.statement_node301 := NetworkSources.Source211.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node302 from NetworkSources.Source212.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node302 : HunterProofNetwork.statement_node302 := NetworkSources.Source212.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node303 from NetworkSources.Source212.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node303 : HunterProofNetwork.statement_node303 := NetworkSources.Source212.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node304 from NetworkSources.Source213.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node304 : HunterProofNetwork.statement_node304 := NetworkSources.Source213.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node305 from NetworkSources.Source214.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node305 : HunterProofNetwork.statement_node305 := NetworkSources.Source214.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node306 from NetworkSources.Source215.HunterAuthored.distinct_magnitude_or_commutative
theorem HunterProofNetwork.certified_node306 : HunterProofNetwork.statement_node306 := NetworkSources.Source215.HunterAuthored.distinct_magnitude_or_commutative
network_statement HunterProofNetwork.statement_node307 from NetworkSources.Source216.HunterAuthored.distinct_magnitude_or_commutative
theorem HunterProofNetwork.certified_node307 : HunterProofNetwork.statement_node307 := NetworkSources.Source216.HunterAuthored.distinct_magnitude_or_commutative
network_statement HunterProofNetwork.statement_node308 from NetworkSources.Source217.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node308 : HunterProofNetwork.statement_node308 := NetworkSources.Source217.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node309 from NetworkSources.Source218.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node309 : HunterProofNetwork.statement_node309 := NetworkSources.Source218.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node310 from NetworkSources.Source219.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node310 : HunterProofNetwork.statement_node310 := NetworkSources.Source219.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node311 from NetworkSources.Source220.HunterAuthored.inference_2
theorem HunterProofNetwork.certified_node311 : HunterProofNetwork.statement_node311 := NetworkSources.Source220.HunterAuthored.inference_2
network_statement HunterProofNetwork.statement_node312 from NetworkSources.Source220.HunterAuthored.inference_3
theorem HunterProofNetwork.certified_node312 : HunterProofNetwork.statement_node312 := NetworkSources.Source220.HunterAuthored.inference_3
network_statement HunterProofNetwork.statement_node313 from NetworkSources.Source220.HunterAuthored.inference_4
theorem HunterProofNetwork.certified_node313 : HunterProofNetwork.statement_node313 := NetworkSources.Source220.HunterAuthored.inference_4
network_statement HunterProofNetwork.statement_node314 from NetworkSources.Source220.HunterAuthored.inference_5
theorem HunterProofNetwork.certified_node314 : HunterProofNetwork.statement_node314 := NetworkSources.Source220.HunterAuthored.inference_5
network_statement HunterProofNetwork.statement_node315 from NetworkSources.Source220.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node315 : HunterProofNetwork.statement_node315 := NetworkSources.Source220.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node316 from NetworkSources.Source221.HunterAuthored.inference_2
theorem HunterProofNetwork.certified_node316 : HunterProofNetwork.statement_node316 := NetworkSources.Source221.HunterAuthored.inference_2
network_statement HunterProofNetwork.statement_node317 from NetworkSources.Source221.HunterAuthored.inference_3
theorem HunterProofNetwork.certified_node317 : HunterProofNetwork.statement_node317 := NetworkSources.Source221.HunterAuthored.inference_3
network_statement HunterProofNetwork.statement_node318 from NetworkSources.Source221.HunterAuthored.inference_4
theorem HunterProofNetwork.certified_node318 : HunterProofNetwork.statement_node318 := NetworkSources.Source221.HunterAuthored.inference_4
network_statement HunterProofNetwork.statement_node319 from NetworkSources.Source221.HunterAuthored.inference_5
theorem HunterProofNetwork.certified_node319 : HunterProofNetwork.statement_node319 := NetworkSources.Source221.HunterAuthored.inference_5
network_statement HunterProofNetwork.statement_node320 from NetworkSources.Source221.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node320 : HunterProofNetwork.statement_node320 := NetworkSources.Source221.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node321 from NetworkSources.Source222.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node321 : HunterProofNetwork.statement_node321 := NetworkSources.Source222.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node322 from NetworkSources.Source223.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node322 : HunterProofNetwork.statement_node322 := NetworkSources.Source223.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node323 from NetworkSources.Source224.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node323 : HunterProofNetwork.statement_node323 := NetworkSources.Source224.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node324 from NetworkSources.Source225.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node324 : HunterProofNetwork.statement_node324 := NetworkSources.Source225.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node325 from NetworkSources.Source225.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node325 : HunterProofNetwork.statement_node325 := NetworkSources.Source225.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node326 from NetworkSources.Source226.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node326 : HunterProofNetwork.statement_node326 := NetworkSources.Source226.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node327 from NetworkSources.Source227.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node327 : HunterProofNetwork.statement_node327 := NetworkSources.Source227.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node328 from NetworkSources.Source227.HunterAuthored.inference_2
theorem HunterProofNetwork.certified_node328 : HunterProofNetwork.statement_node328 := NetworkSources.Source227.HunterAuthored.inference_2
network_statement HunterProofNetwork.statement_node329 from NetworkSources.Source228.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node329 : HunterProofNetwork.statement_node329 := NetworkSources.Source228.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node330 from NetworkSources.Source228.HunterAuthored.inference_2
theorem HunterProofNetwork.certified_node330 : HunterProofNetwork.statement_node330 := NetworkSources.Source228.HunterAuthored.inference_2
network_statement HunterProofNetwork.statement_node331 from NetworkSources.Source229.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node331 : HunterProofNetwork.statement_node331 := NetworkSources.Source229.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node332 from NetworkSources.Source229.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node332 : HunterProofNetwork.statement_node332 := NetworkSources.Source229.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node333 from NetworkSources.Source230.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node333 : HunterProofNetwork.statement_node333 := NetworkSources.Source230.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node334 from NetworkSources.Source230.HunterAuthored.inference_2
theorem HunterProofNetwork.certified_node334 : HunterProofNetwork.statement_node334 := NetworkSources.Source230.HunterAuthored.inference_2
network_statement HunterProofNetwork.statement_node335 from NetworkSources.Source231.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node335 : HunterProofNetwork.statement_node335 := NetworkSources.Source231.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node336 from NetworkSources.Source231.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node336 : HunterProofNetwork.statement_node336 := NetworkSources.Source231.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node337 from NetworkSources.Source232.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node337 : HunterProofNetwork.statement_node337 := NetworkSources.Source232.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node338 from NetworkSources.Source233.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node338 : HunterProofNetwork.statement_node338 := NetworkSources.Source233.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node339 from NetworkSources.Source234.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node339 : HunterProofNetwork.statement_node339 := NetworkSources.Source234.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node340 from NetworkSources.Source234.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node340 : HunterProofNetwork.statement_node340 := NetworkSources.Source234.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node341 from NetworkSources.Source235.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node341 : HunterProofNetwork.statement_node341 := NetworkSources.Source235.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node342 from NetworkSources.Source236.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node342 : HunterProofNetwork.statement_node342 := NetworkSources.Source236.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node343 from NetworkSources.Source237.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node343 : HunterProofNetwork.statement_node343 := NetworkSources.Source237.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node344 from NetworkSources.Source237.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node344 : HunterProofNetwork.statement_node344 := NetworkSources.Source237.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node345 from NetworkSources.Source238.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node345 : HunterProofNetwork.statement_node345 := NetworkSources.Source238.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node346 from NetworkSources.Source239.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node346 : HunterProofNetwork.statement_node346 := NetworkSources.Source239.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node347 from NetworkSources.Source240.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node347 : HunterProofNetwork.statement_node347 := NetworkSources.Source240.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node348 from NetworkSources.Source241.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node348 : HunterProofNetwork.statement_node348 := NetworkSources.Source241.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node349 from NetworkSources.Source242.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node349 : HunterProofNetwork.statement_node349 := NetworkSources.Source242.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node350 from NetworkSources.Source243.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node350 : HunterProofNetwork.statement_node350 := NetworkSources.Source243.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node351 from NetworkSources.Source243.HunterAuthored.inference_2
theorem HunterProofNetwork.certified_node351 : HunterProofNetwork.statement_node351 := NetworkSources.Source243.HunterAuthored.inference_2
network_statement HunterProofNetwork.statement_node352 from NetworkSources.Source244.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node352 : HunterProofNetwork.statement_node352 := NetworkSources.Source244.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node353 from NetworkSources.Source245.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node353 : HunterProofNetwork.statement_node353 := NetworkSources.Source245.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node354 from NetworkSources.Source245.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node354 : HunterProofNetwork.statement_node354 := NetworkSources.Source245.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node355 from NetworkSources.Source246.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node355 : HunterProofNetwork.statement_node355 := NetworkSources.Source246.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node356 from NetworkSources.Source246.HunterAuthored.inference_2
theorem HunterProofNetwork.certified_node356 : HunterProofNetwork.statement_node356 := NetworkSources.Source246.HunterAuthored.inference_2
network_statement HunterProofNetwork.statement_node357 from NetworkSources.Source246.HunterAuthored.inference_3
theorem HunterProofNetwork.certified_node357 : HunterProofNetwork.statement_node357 := NetworkSources.Source246.HunterAuthored.inference_3
network_statement HunterProofNetwork.statement_node358 from NetworkSources.Source246.HunterAuthored.inference_4
theorem HunterProofNetwork.certified_node358 : HunterProofNetwork.statement_node358 := NetworkSources.Source246.HunterAuthored.inference_4
network_statement HunterProofNetwork.statement_node359 from NetworkSources.Source246.HunterAuthored.inference_5
theorem HunterProofNetwork.certified_node359 : HunterProofNetwork.statement_node359 := NetworkSources.Source246.HunterAuthored.inference_5
network_statement HunterProofNetwork.statement_node360 from NetworkSources.Source247.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node360 : HunterProofNetwork.statement_node360 := NetworkSources.Source247.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node361 from NetworkSources.Source248.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node361 : HunterProofNetwork.statement_node361 := NetworkSources.Source248.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node362 from NetworkSources.Source248.HunterAuthored.inference_2
theorem HunterProofNetwork.certified_node362 : HunterProofNetwork.statement_node362 := NetworkSources.Source248.HunterAuthored.inference_2
network_statement HunterProofNetwork.statement_node363 from NetworkSources.Source248.HunterAuthored.inference_3
theorem HunterProofNetwork.certified_node363 : HunterProofNetwork.statement_node363 := NetworkSources.Source248.HunterAuthored.inference_3
network_statement HunterProofNetwork.statement_node364 from NetworkSources.Source248.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node364 : HunterProofNetwork.statement_node364 := NetworkSources.Source248.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node365 from NetworkSources.Source249.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node365 : HunterProofNetwork.statement_node365 := NetworkSources.Source249.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node366 from NetworkSources.Source250.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node366 : HunterProofNetwork.statement_node366 := NetworkSources.Source250.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node367 from NetworkSources.Source250.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node367 : HunterProofNetwork.statement_node367 := NetworkSources.Source250.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node368 from NetworkSources.Source251.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node368 : HunterProofNetwork.statement_node368 := NetworkSources.Source251.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node369 from NetworkSources.Source252.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node369 : HunterProofNetwork.statement_node369 := NetworkSources.Source252.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node370 from NetworkSources.Source253.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node370 : HunterProofNetwork.statement_node370 := NetworkSources.Source253.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node371 from NetworkSources.Source254.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node371 : HunterProofNetwork.statement_node371 := NetworkSources.Source254.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node372 from NetworkSources.Source255.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node372 : HunterProofNetwork.statement_node372 := NetworkSources.Source255.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node373 from NetworkSources.Source256.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node373 : HunterProofNetwork.statement_node373 := NetworkSources.Source256.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node374 from NetworkSources.Source257.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node374 : HunterProofNetwork.statement_node374 := NetworkSources.Source257.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node375 from NetworkSources.Source258.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node375 : HunterProofNetwork.statement_node375 := NetworkSources.Source258.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node376 from NetworkSources.Source258.HunterAuthored.inference_2
theorem HunterProofNetwork.certified_node376 : HunterProofNetwork.statement_node376 := NetworkSources.Source258.HunterAuthored.inference_2
network_statement HunterProofNetwork.statement_node377 from NetworkSources.Source258.HunterAuthored.inference_3
theorem HunterProofNetwork.certified_node377 : HunterProofNetwork.statement_node377 := NetworkSources.Source258.HunterAuthored.inference_3
network_statement HunterProofNetwork.statement_node378 from NetworkSources.Source259.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node378 : HunterProofNetwork.statement_node378 := NetworkSources.Source259.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node379 from NetworkSources.Source260.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node379 : HunterProofNetwork.statement_node379 := NetworkSources.Source260.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node380 from NetworkSources.Source261.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node380 : HunterProofNetwork.statement_node380 := NetworkSources.Source261.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node381 from NetworkSources.Source262.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node381 : HunterProofNetwork.statement_node381 := NetworkSources.Source262.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node382 from NetworkSources.Source263.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node382 : HunterProofNetwork.statement_node382 := NetworkSources.Source263.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node383 from NetworkSources.Source263.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node383 : HunterProofNetwork.statement_node383 := NetworkSources.Source263.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node384 from NetworkSources.Source264.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node384 : HunterProofNetwork.statement_node384 := NetworkSources.Source264.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node385 from NetworkSources.Source265.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node385 : HunterProofNetwork.statement_node385 := NetworkSources.Source265.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node386 from NetworkSources.Source265.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node386 : HunterProofNetwork.statement_node386 := NetworkSources.Source265.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node387 from NetworkSources.Source266.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node387 : HunterProofNetwork.statement_node387 := NetworkSources.Source266.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node388 from NetworkSources.Source266.HunterAuthored.inference_2
theorem HunterProofNetwork.certified_node388 : HunterProofNetwork.statement_node388 := NetworkSources.Source266.HunterAuthored.inference_2
network_statement HunterProofNetwork.statement_node389 from NetworkSources.Source266.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node389 : HunterProofNetwork.statement_node389 := NetworkSources.Source266.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node390 from NetworkSources.Source267.HunterAuthored.valid_unit_seven_checks
theorem HunterProofNetwork.certified_node390 : HunterProofNetwork.statement_node390 := NetworkSources.Source267.HunterAuthored.valid_unit_seven_checks
network_statement HunterProofNetwork.statement_node391 from NetworkSources.Source267.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node391 : HunterProofNetwork.statement_node391 := NetworkSources.Source267.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node392 from NetworkSources.Source268.HunterAuthored.valid_unit_seven_checks
theorem HunterProofNetwork.certified_node392 : HunterProofNetwork.statement_node392 := NetworkSources.Source268.HunterAuthored.valid_unit_seven_checks
network_statement HunterProofNetwork.statement_node393 from NetworkSources.Source268.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node393 : HunterProofNetwork.statement_node393 := NetworkSources.Source268.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node394 from NetworkSources.Source269.HunterAuthored.generated_signature_invariants
theorem HunterProofNetwork.certified_node394 : HunterProofNetwork.statement_node394 := NetworkSources.Source269.HunterAuthored.generated_signature_invariants
network_statement HunterProofNetwork.statement_node395 from NetworkSources.Source270.HunterAuthored.generated_signature_invariants
theorem HunterProofNetwork.certified_node395 : HunterProofNetwork.statement_node395 := NetworkSources.Source270.HunterAuthored.generated_signature_invariants
network_statement HunterProofNetwork.statement_node396 from NetworkSources.Source271.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node396 : HunterProofNetwork.statement_node396 := NetworkSources.Source271.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node397 from NetworkSources.Source272.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node397 : HunterProofNetwork.statement_node397 := NetworkSources.Source272.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node398 from NetworkSources.Source273.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node398 : HunterProofNetwork.statement_node398 := NetworkSources.Source273.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node399 from NetworkSources.Source274.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node399 : HunterProofNetwork.statement_node399 := NetworkSources.Source274.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node400 from NetworkSources.Source275.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node400 : HunterProofNetwork.statement_node400 := NetworkSources.Source275.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node401 from NetworkSources.Source276.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node401 : HunterProofNetwork.statement_node401 := NetworkSources.Source276.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node402 from NetworkSources.Source277.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node402 : HunterProofNetwork.statement_node402 := NetworkSources.Source277.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node403 from NetworkSources.Source278.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node403 : HunterProofNetwork.statement_node403 := NetworkSources.Source278.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node404 from NetworkSources.Source279.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node404 : HunterProofNetwork.statement_node404 := NetworkSources.Source279.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node405 from NetworkSources.Source279.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node405 : HunterProofNetwork.statement_node405 := NetworkSources.Source279.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node406 from NetworkSources.Source280.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node406 : HunterProofNetwork.statement_node406 := NetworkSources.Source280.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node407 from NetworkSources.Source281.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node407 : HunterProofNetwork.statement_node407 := NetworkSources.Source281.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node408 from NetworkSources.Source282.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node408 : HunterProofNetwork.statement_node408 := NetworkSources.Source282.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node409 from NetworkSources.Source282.HunterAuthored.inference_2
theorem HunterProofNetwork.certified_node409 : HunterProofNetwork.statement_node409 := NetworkSources.Source282.HunterAuthored.inference_2
network_statement HunterProofNetwork.statement_node410 from NetworkSources.Source282.HunterAuthored.inference_3
theorem HunterProofNetwork.certified_node410 : HunterProofNetwork.statement_node410 := NetworkSources.Source282.HunterAuthored.inference_3
network_statement HunterProofNetwork.statement_node411 from NetworkSources.Source282.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node411 : HunterProofNetwork.statement_node411 := NetworkSources.Source282.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node412 from NetworkSources.Source283.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node412 : HunterProofNetwork.statement_node412 := NetworkSources.Source283.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node413 from NetworkSources.Source284.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node413 : HunterProofNetwork.statement_node413 := NetworkSources.Source284.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node414 from NetworkSources.Source285.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node414 : HunterProofNetwork.statement_node414 := NetworkSources.Source285.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node415 from NetworkSources.Source286.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node415 : HunterProofNetwork.statement_node415 := NetworkSources.Source286.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node416 from NetworkSources.Source287.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node416 : HunterProofNetwork.statement_node416 := NetworkSources.Source287.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node417 from NetworkSources.Source288.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node417 : HunterProofNetwork.statement_node417 := NetworkSources.Source288.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node418 from NetworkSources.Source289.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node418 : HunterProofNetwork.statement_node418 := NetworkSources.Source289.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node419 from NetworkSources.Source290.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node419 : HunterProofNetwork.statement_node419 := NetworkSources.Source290.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node420 from NetworkSources.Source291.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node420 : HunterProofNetwork.statement_node420 := NetworkSources.Source291.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node421 from NetworkSources.Source291.HunterAuthored.inference_2
theorem HunterProofNetwork.certified_node421 : HunterProofNetwork.statement_node421 := NetworkSources.Source291.HunterAuthored.inference_2
network_statement HunterProofNetwork.statement_node422 from NetworkSources.Source291.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node422 : HunterProofNetwork.statement_node422 := NetworkSources.Source291.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node423 from NetworkSources.Source292.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node423 : HunterProofNetwork.statement_node423 := NetworkSources.Source292.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node424 from NetworkSources.Source292.HunterAuthored.inference_2
theorem HunterProofNetwork.certified_node424 : HunterProofNetwork.statement_node424 := NetworkSources.Source292.HunterAuthored.inference_2
network_statement HunterProofNetwork.statement_node425 from NetworkSources.Source292.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node425 : HunterProofNetwork.statement_node425 := NetworkSources.Source292.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node426 from NetworkSources.Source293.HunterAuthored.inference_2
theorem HunterProofNetwork.certified_node426 : HunterProofNetwork.statement_node426 := NetworkSources.Source293.HunterAuthored.inference_2
network_statement HunterProofNetwork.statement_node427 from NetworkSources.Source294.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node427 : HunterProofNetwork.statement_node427 := NetworkSources.Source294.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node428 from NetworkSources.Source295.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node428 : HunterProofNetwork.statement_node428 := NetworkSources.Source295.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node429 from NetworkSources.Source296.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node429 : HunterProofNetwork.statement_node429 := NetworkSources.Source296.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node430 from NetworkSources.Source296.HunterAuthored.inference_2
theorem HunterProofNetwork.certified_node430 : HunterProofNetwork.statement_node430 := NetworkSources.Source296.HunterAuthored.inference_2
network_statement HunterProofNetwork.statement_node431 from NetworkSources.Source296.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node431 : HunterProofNetwork.statement_node431 := NetworkSources.Source296.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node432 from NetworkSources.Source297.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node432 : HunterProofNetwork.statement_node432 := NetworkSources.Source297.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node433 from NetworkSources.Source298.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node433 : HunterProofNetwork.statement_node433 := NetworkSources.Source298.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node434 from NetworkSources.Source299.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node434 : HunterProofNetwork.statement_node434 := NetworkSources.Source299.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node435 from NetworkSources.Source299.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node435 : HunterProofNetwork.statement_node435 := NetworkSources.Source299.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node436 from NetworkSources.Source300.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node436 : HunterProofNetwork.statement_node436 := NetworkSources.Source300.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node437 from NetworkSources.Source301.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node437 : HunterProofNetwork.statement_node437 := NetworkSources.Source301.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node438 from NetworkSources.Source302.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node438 : HunterProofNetwork.statement_node438 := NetworkSources.Source302.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node439 from NetworkSources.Source303.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node439 : HunterProofNetwork.statement_node439 := NetworkSources.Source303.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node440 from NetworkSources.Source304.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node440 : HunterProofNetwork.statement_node440 := NetworkSources.Source304.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node441 from NetworkSources.Source305.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node441 : HunterProofNetwork.statement_node441 := NetworkSources.Source305.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node442 from NetworkSources.Source306.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node442 : HunterProofNetwork.statement_node442 := NetworkSources.Source306.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node443 from NetworkSources.Source306.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node443 : HunterProofNetwork.statement_node443 := NetworkSources.Source306.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node444 from NetworkSources.Source307.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node444 : HunterProofNetwork.statement_node444 := NetworkSources.Source307.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node445 from NetworkSources.Source308.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node445 : HunterProofNetwork.statement_node445 := NetworkSources.Source308.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node446 from NetworkSources.Source309.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node446 : HunterProofNetwork.statement_node446 := NetworkSources.Source309.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node447 from NetworkSources.Source309.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node447 : HunterProofNetwork.statement_node447 := NetworkSources.Source309.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node448 from NetworkSources.Source310.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node448 : HunterProofNetwork.statement_node448 := NetworkSources.Source310.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node449 from NetworkSources.Source311.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node449 : HunterProofNetwork.statement_node449 := NetworkSources.Source311.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node450 from NetworkSources.Source312.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node450 : HunterProofNetwork.statement_node450 := NetworkSources.Source312.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node451 from NetworkSources.Source313.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node451 : HunterProofNetwork.statement_node451 := NetworkSources.Source313.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node452 from NetworkSources.Source314.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node452 : HunterProofNetwork.statement_node452 := NetworkSources.Source314.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node453 from NetworkSources.Source314.HunterAuthored.inference_2
theorem HunterProofNetwork.certified_node453 : HunterProofNetwork.statement_node453 := NetworkSources.Source314.HunterAuthored.inference_2
network_statement HunterProofNetwork.statement_node454 from NetworkSources.Source314.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node454 : HunterProofNetwork.statement_node454 := NetworkSources.Source314.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node455 from NetworkSources.Source315.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node455 : HunterProofNetwork.statement_node455 := NetworkSources.Source315.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node456 from NetworkSources.Source315.HunterAuthored.inference_2
theorem HunterProofNetwork.certified_node456 : HunterProofNetwork.statement_node456 := NetworkSources.Source315.HunterAuthored.inference_2
network_statement HunterProofNetwork.statement_node457 from NetworkSources.Source316.HunterAuthored.inference_2
theorem HunterProofNetwork.certified_node457 : HunterProofNetwork.statement_node457 := NetworkSources.Source316.HunterAuthored.inference_2
network_statement HunterProofNetwork.statement_node458 from NetworkSources.Source316.HunterAuthored.inference_4
theorem HunterProofNetwork.certified_node458 : HunterProofNetwork.statement_node458 := NetworkSources.Source316.HunterAuthored.inference_4
network_statement HunterProofNetwork.statement_node459 from NetworkSources.Source316.HunterAuthored.inference_5
theorem HunterProofNetwork.certified_node459 : HunterProofNetwork.statement_node459 := NetworkSources.Source316.HunterAuthored.inference_5
network_statement HunterProofNetwork.statement_node460 from NetworkSources.Source316.HunterAuthored.inference_7
theorem HunterProofNetwork.certified_node460 : HunterProofNetwork.statement_node460 := NetworkSources.Source316.HunterAuthored.inference_7
network_statement HunterProofNetwork.statement_node461 from NetworkSources.Source316.HunterAuthored.inference_8
theorem HunterProofNetwork.certified_node461 : HunterProofNetwork.statement_node461 := NetworkSources.Source316.HunterAuthored.inference_8
network_statement HunterProofNetwork.statement_node462 from NetworkSources.Source316.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node462 : HunterProofNetwork.statement_node462 := NetworkSources.Source316.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node463 from NetworkSources.Source317.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node463 : HunterProofNetwork.statement_node463 := NetworkSources.Source317.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node464 from NetworkSources.Source318.HunterAuthored.inference_2
theorem HunterProofNetwork.certified_node464 : HunterProofNetwork.statement_node464 := NetworkSources.Source318.HunterAuthored.inference_2
network_statement HunterProofNetwork.statement_node465 from NetworkSources.Source318.HunterAuthored.inference_4
theorem HunterProofNetwork.certified_node465 : HunterProofNetwork.statement_node465 := NetworkSources.Source318.HunterAuthored.inference_4
network_statement HunterProofNetwork.statement_node466 from NetworkSources.Source318.HunterAuthored.inference_5
theorem HunterProofNetwork.certified_node466 : HunterProofNetwork.statement_node466 := NetworkSources.Source318.HunterAuthored.inference_5
network_statement HunterProofNetwork.statement_node467 from NetworkSources.Source318.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node467 : HunterProofNetwork.statement_node467 := NetworkSources.Source318.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node468 from NetworkSources.Source319.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node468 : HunterProofNetwork.statement_node468 := NetworkSources.Source319.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node469 from NetworkSources.Source320.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node469 : HunterProofNetwork.statement_node469 := NetworkSources.Source320.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node470 from NetworkSources.Source321.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node470 : HunterProofNetwork.statement_node470 := NetworkSources.Source321.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node471 from NetworkSources.Source322.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node471 : HunterProofNetwork.statement_node471 := NetworkSources.Source322.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node472 from NetworkSources.Source323.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node472 : HunterProofNetwork.statement_node472 := NetworkSources.Source323.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node473 from NetworkSources.Source324.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node473 : HunterProofNetwork.statement_node473 := NetworkSources.Source324.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node474 from NetworkSources.Source325.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node474 : HunterProofNetwork.statement_node474 := NetworkSources.Source325.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node475 from NetworkSources.Source326.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node475 : HunterProofNetwork.statement_node475 := NetworkSources.Source326.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node476 from NetworkSources.Source327.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node476 : HunterProofNetwork.statement_node476 := NetworkSources.Source327.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node477 from NetworkSources.Source328.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node477 : HunterProofNetwork.statement_node477 := NetworkSources.Source328.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node478 from NetworkSources.Source328.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node478 : HunterProofNetwork.statement_node478 := NetworkSources.Source328.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node479 from NetworkSources.Source329.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node479 : HunterProofNetwork.statement_node479 := NetworkSources.Source329.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node480 from NetworkSources.Source329.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node480 : HunterProofNetwork.statement_node480 := NetworkSources.Source329.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node481 from NetworkSources.Source330.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node481 : HunterProofNetwork.statement_node481 := NetworkSources.Source330.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node482 from NetworkSources.Source331.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node482 : HunterProofNetwork.statement_node482 := NetworkSources.Source331.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node483 from NetworkSources.Source332.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node483 : HunterProofNetwork.statement_node483 := NetworkSources.Source332.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node484 from NetworkSources.Source333.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node484 : HunterProofNetwork.statement_node484 := NetworkSources.Source333.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node485 from NetworkSources.Source334.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node485 : HunterProofNetwork.statement_node485 := NetworkSources.Source334.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node486 from NetworkSources.Source335.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node486 : HunterProofNetwork.statement_node486 := NetworkSources.Source335.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node487 from NetworkSources.Source336.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node487 : HunterProofNetwork.statement_node487 := NetworkSources.Source336.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node488 from NetworkSources.Source337.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node488 : HunterProofNetwork.statement_node488 := NetworkSources.Source337.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node489 from NetworkSources.Source338.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node489 : HunterProofNetwork.statement_node489 := NetworkSources.Source338.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node490 from NetworkSources.Source338.HunterAuthored.inference_2
theorem HunterProofNetwork.certified_node490 : HunterProofNetwork.statement_node490 := NetworkSources.Source338.HunterAuthored.inference_2
network_statement HunterProofNetwork.statement_node491 from NetworkSources.Source338.HunterAuthored.inference_3
theorem HunterProofNetwork.certified_node491 : HunterProofNetwork.statement_node491 := NetworkSources.Source338.HunterAuthored.inference_3
network_statement HunterProofNetwork.statement_node492 from NetworkSources.Source339.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node492 : HunterProofNetwork.statement_node492 := NetworkSources.Source339.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node493 from NetworkSources.Source339.HunterAuthored.inference_2
theorem HunterProofNetwork.certified_node493 : HunterProofNetwork.statement_node493 := NetworkSources.Source339.HunterAuthored.inference_2
network_statement HunterProofNetwork.statement_node494 from NetworkSources.Source340.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node494 : HunterProofNetwork.statement_node494 := NetworkSources.Source340.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node495 from NetworkSources.Source340.HunterAuthored.source_identity_rule
theorem HunterProofNetwork.certified_node495 : HunterProofNetwork.statement_node495 := NetworkSources.Source340.HunterAuthored.source_identity_rule
network_statement HunterProofNetwork.statement_node496 from NetworkSources.Source341.HunterAuthored.exponent_xor_self_positive
theorem HunterProofNetwork.certified_node496 : HunterProofNetwork.statement_node496 := NetworkSources.Source341.HunterAuthored.exponent_xor_self_positive
network_statement HunterProofNetwork.statement_node497 from NetworkSources.Source342.HunterAuthored.exponent_xor_self_positive
theorem HunterProofNetwork.certified_node497 : HunterProofNetwork.statement_node497 := NetworkSources.Source342.HunterAuthored.exponent_xor_self_positive
network_statement HunterProofNetwork.statement_node498 from NetworkSources.Source343.HunterAuthored.inference_1
theorem HunterProofNetwork.certified_node498 : HunterProofNetwork.statement_node498 := NetworkSources.Source343.HunterAuthored.inference_1
network_statement HunterProofNetwork.statement_node499 from NetworkSources.Native.NativeMCBEvidence.mcb_code_and_data_same_type
theorem HunterProofNetwork.certified_node499 : HunterProofNetwork.statement_node499 := NetworkSources.Native.NativeMCBEvidence.mcb_code_and_data_same_type
network_statement HunterProofNetwork.statement_node500 from NetworkSources.Native.NativeMCBEvidence.mcb_unquote_quote
theorem HunterProofNetwork.certified_node500 : HunterProofNetwork.statement_node500 := NetworkSources.Native.NativeMCBEvidence.mcb_unquote_quote
network_statement HunterProofNetwork.statement_node501 from NetworkSources.Native.NativeMCBEvidence.mcb_quote_unquote
theorem HunterProofNetwork.certified_node501 : HunterProofNetwork.statement_node501 := NetworkSources.Native.NativeMCBEvidence.mcb_quote_unquote
network_statement HunterProofNetwork.statement_node502 from NetworkSources.Native.NativeMCBEvidence.mcb_phase_bivalence
theorem HunterProofNetwork.certified_node502 : HunterProofNetwork.statement_node502 := NetworkSources.Native.NativeMCBEvidence.mcb_phase_bivalence
network_statement HunterProofNetwork.statement_node503 from NetworkSources.Native.NativeMCBEvidence.mcb_even_phase
theorem HunterProofNetwork.certified_node503 : HunterProofNetwork.statement_node503 := NetworkSources.Native.NativeMCBEvidence.mcb_even_phase
network_statement HunterProofNetwork.statement_node504 from NetworkSources.Native.NativeMCBEvidence.mcb_data_execution_agrees
theorem HunterProofNetwork.certified_node504 : HunterProofNetwork.statement_node504 := NetworkSources.Native.NativeMCBEvidence.mcb_data_execution_agrees
network_statement HunterProofNetwork.statement_node505 from NetworkSources.Native.NativeMCBEvidence.mcb_code_data_transformation_agrees
theorem HunterProofNetwork.certified_node505 : HunterProofNetwork.statement_node505 := NetworkSources.Native.NativeMCBEvidence.mcb_code_data_transformation_agrees
network_statement HunterProofNetwork.statement_node506 from NetworkSources.Native.NativeMCBEvidence.mcb_self_summation
theorem HunterProofNetwork.certified_node506 : HunterProofNetwork.statement_node506 := NetworkSources.Native.NativeMCBEvidence.mcb_self_summation
network_statement HunterProofNetwork.statement_node507 from NetworkSources.Native.NativeMCBEvidence.mcb_normalization_preserves_meaning
theorem HunterProofNetwork.certified_node507 : HunterProofNetwork.statement_node507 := NetworkSources.Native.NativeMCBEvidence.mcb_normalization_preserves_meaning
network_statement HunterProofNetwork.statement_node508 from NetworkSources.Native.NativeMCBEvidence.mcb_normalization_idempotent
theorem HunterProofNetwork.certified_node508 : HunterProofNetwork.statement_node508 := NetworkSources.Native.NativeMCBEvidence.mcb_normalization_idempotent
network_statement HunterProofNetwork.statement_node509 from NetworkSources.Native.NativeMCBEvidence.mcb_single_value
theorem HunterProofNetwork.certified_node509 : HunterProofNetwork.statement_node509 := NetworkSources.Native.NativeMCBEvidence.mcb_single_value
network_statement HunterProofNetwork.statement_node510 from NetworkSources.Native.NativeMCBEvidence.mcb_reason_noncontradiction
theorem HunterProofNetwork.certified_node510 : HunterProofNetwork.statement_node510 := NetworkSources.Native.NativeMCBEvidence.mcb_reason_noncontradiction
network_statement HunterProofNetwork.statement_node511 from NetworkSources.Native.NativeMCBEvidence.mcb_init_has_exact_phase_data
theorem HunterProofNetwork.certified_node511 : HunterProofNetwork.statement_node511 := NetworkSources.Native.NativeMCBEvidence.mcb_init_has_exact_phase_data
network_statement HunterProofNetwork.statement_node512 from NetworkSources.Native.NativeMCBEvidence.init_program_achieves_perfect_stasis
theorem HunterProofNetwork.certified_node512 : HunterProofNetwork.statement_node512 := NetworkSources.Native.NativeMCBEvidence.init_program_achieves_perfect_stasis
network_statement HunterProofNetwork.statement_node513 from NetworkSources.Native.NativeMCBEvidence.mcb_init_is_single_balance
theorem HunterProofNetwork.certified_node513 : HunterProofNetwork.statement_node513 := NetworkSources.Native.NativeMCBEvidence.mcb_init_is_single_balance
network_statement HunterProofNetwork.statement_node514 from NetworkSources.Native.NativeMCBEvidence.mcb_init_outer_phase
theorem HunterProofNetwork.certified_node514 : HunterProofNetwork.statement_node514 := NetworkSources.Native.NativeMCBEvidence.mcb_init_outer_phase
network_statement HunterProofNetwork.statement_node515 from NetworkSources.Native.NativeMCBEvidence.mcb_complete_init_is_single_positive_state
theorem HunterProofNetwork.certified_node515 : HunterProofNetwork.statement_node515 := NetworkSources.Native.NativeMCBEvidence.mcb_complete_init_is_single_positive_state
network_statement HunterProofNetwork.statement_node516 from NetworkSources.Native.NativeMCBEvidence.mcb_init_literal_is_exact
theorem HunterProofNetwork.certified_node516 : HunterProofNetwork.statement_node516 := NetworkSources.Native.NativeMCBEvidence.mcb_init_literal_is_exact
network_statement HunterProofNetwork.statement_node517 from NetworkSources.Native.NativeMCBEvidence.mcb_compiled_literal_self_identity
theorem HunterProofNetwork.certified_node517 : HunterProofNetwork.statement_node517 := NetworkSources.Native.NativeMCBEvidence.mcb_compiled_literal_self_identity
network_statement HunterProofNetwork.statement_node518 from NetworkSources.Native.NativeMCBEvidence.mcb_balance_zero_is_not_fixed_ground
theorem HunterProofNetwork.certified_node518 : HunterProofNetwork.statement_node518 := NetworkSources.Native.NativeMCBEvidence.mcb_balance_zero_is_not_fixed_ground
network_statement HunterProofNetwork.statement_node519 from NetworkSources.Native.NativeMCBEvidence.nand_signed_truth_table
theorem HunterProofNetwork.certified_node519 : HunterProofNetwork.statement_node519 := NetworkSources.Native.NativeMCBEvidence.nand_signed_truth_table
network_statement HunterProofNetwork.statement_node520 from NetworkSources.Native.NativeMCBEvidence.single_root_preserves_conjunction
theorem HunterProofNetwork.certified_node520 : HunterProofNetwork.statement_node520 := NetworkSources.Native.NativeMCBEvidence.single_root_preserves_conjunction
network_statement HunterProofNetwork.statement_node521 from NetworkSources.Native.NativeMCBEvidence.fixed_ground_encoding
theorem HunterProofNetwork.certified_node521 : HunterProofNetwork.statement_node521 := NetworkSources.Native.NativeMCBEvidence.fixed_ground_encoding
network_statement HunterProofNetwork.statement_node522 from NetworkSources.Native.NativeMCBEvidence.negative_runtime_encoding
theorem HunterProofNetwork.certified_node522 : HunterProofNetwork.statement_node522 := NetworkSources.Native.NativeMCBEvidence.negative_runtime_encoding
network_statement HunterProofNetwork.statement_node523 from NetworkSources.Native.NativeMCBEvidence.runtime_roundtrip
theorem HunterProofNetwork.certified_node523 : HunterProofNetwork.statement_node523 := NetworkSources.Native.NativeMCBEvidence.runtime_roundtrip

namespace HunterProofNetwork
-- A network node retains its complete quantified type, including every explicit premise.
inductive Certified : List Prop → Prop where
  | nil : Certified []
  | cons {p : Prop} {ps : List Prop} : p → Certified ps → Certified (p :: ps)

theorem certified_member {ps : List Prop} (proof : Certified ps) :
    ∀ p, p ∈ ps → p := by
  induction proof with
  | nil => intro p membership; cases membership
  | @cons p ps hp rest ih =>
    intro q membership
    cases membership with
    | head => exact hp
    | tail _ tail => exact ih q tail

def allStatements : List Prop := [statement_node0, statement_node1, statement_node2, statement_node3, statement_node4, statement_node5, statement_node6, statement_node7, statement_node8, statement_node9, statement_node10, statement_node11, statement_node12, statement_node13, statement_node14, statement_node15, statement_node16, statement_node17, statement_node18, statement_node19, statement_node20, statement_node21, statement_node22, statement_node23, statement_node24, statement_node25, statement_node26, statement_node27, statement_node28, statement_node29, statement_node30, statement_node31, statement_node32, statement_node33, statement_node34, statement_node35, statement_node36, statement_node37, statement_node38, statement_node39, statement_node40, statement_node41, statement_node42, statement_node43, statement_node44, statement_node45, statement_node46, statement_node47, statement_node48, statement_node49, statement_node50, statement_node51, statement_node52, statement_node53, statement_node54, statement_node55, statement_node56, statement_node57, statement_node58, statement_node59, statement_node60, statement_node61, statement_node62, statement_node63, statement_node64, statement_node65, statement_node66, statement_node67, statement_node68, statement_node69, statement_node70, statement_node71, statement_node72, statement_node73, statement_node74, statement_node75, statement_node76, statement_node77, statement_node78, statement_node79, statement_node80, statement_node81, statement_node82, statement_node83, statement_node84, statement_node85, statement_node86, statement_node87, statement_node88, statement_node89, statement_node90, statement_node91, statement_node92, statement_node93, statement_node94, statement_node95, statement_node96, statement_node97, statement_node98, statement_node99, statement_node100, statement_node101, statement_node102, statement_node103, statement_node104, statement_node105, statement_node106, statement_node107, statement_node108, statement_node109, statement_node110, statement_node111, statement_node112, statement_node113, statement_node114, statement_node115, statement_node116, statement_node117, statement_node118, statement_node119, statement_node120, statement_node121, statement_node122, statement_node123, statement_node124, statement_node125, statement_node126, statement_node127, statement_node128, statement_node129, statement_node130, statement_node131, statement_node132, statement_node133, statement_node134, statement_node135, statement_node136, statement_node137, statement_node138, statement_node139, statement_node140, statement_node141, statement_node142, statement_node143, statement_node144, statement_node145, statement_node146, statement_node147, statement_node148, statement_node149, statement_node150, statement_node151, statement_node152, statement_node153, statement_node154, statement_node155, statement_node156, statement_node157, statement_node158, statement_node159, statement_node160, statement_node161, statement_node162, statement_node163, statement_node164, statement_node165, statement_node166, statement_node167, statement_node168, statement_node169, statement_node170, statement_node171, statement_node172, statement_node173, statement_node174, statement_node175, statement_node176, statement_node177, statement_node178, statement_node179, statement_node180, statement_node181, statement_node182, statement_node183, statement_node184, statement_node185, statement_node186, statement_node187, statement_node188, statement_node189, statement_node190, statement_node191, statement_node192, statement_node193, statement_node194, statement_node195, statement_node196, statement_node197, statement_node198, statement_node199, statement_node200, statement_node201, statement_node202, statement_node203, statement_node204, statement_node205, statement_node206, statement_node207, statement_node208, statement_node209, statement_node210, statement_node211, statement_node212, statement_node213, statement_node214, statement_node215, statement_node216, statement_node217, statement_node218, statement_node219, statement_node220, statement_node221, statement_node222, statement_node223, statement_node224, statement_node225, statement_node226, statement_node227, statement_node228, statement_node229, statement_node230, statement_node231, statement_node232, statement_node233, statement_node234, statement_node235, statement_node236, statement_node237, statement_node238, statement_node239, statement_node240, statement_node241, statement_node242, statement_node243, statement_node244, statement_node245, statement_node246, statement_node247, statement_node248, statement_node249, statement_node250, statement_node251, statement_node252, statement_node253, statement_node254, statement_node255, statement_node256, statement_node257, statement_node258, statement_node259, statement_node260, statement_node261, statement_node262, statement_node263, statement_node264, statement_node265, statement_node266, statement_node267, statement_node268, statement_node269, statement_node270, statement_node271, statement_node272, statement_node273, statement_node274, statement_node275, statement_node276, statement_node277, statement_node278, statement_node279, statement_node280, statement_node281, statement_node282, statement_node283, statement_node284, statement_node285, statement_node286, statement_node287, statement_node288, statement_node289, statement_node290, statement_node291, statement_node292, statement_node293, statement_node294, statement_node295, statement_node296, statement_node297, statement_node298, statement_node299, statement_node300, statement_node301, statement_node302, statement_node303, statement_node304, statement_node305, statement_node306, statement_node307, statement_node308, statement_node309, statement_node310, statement_node311, statement_node312, statement_node313, statement_node314, statement_node315, statement_node316, statement_node317, statement_node318, statement_node319, statement_node320, statement_node321, statement_node322, statement_node323, statement_node324, statement_node325, statement_node326, statement_node327, statement_node328, statement_node329, statement_node330, statement_node331, statement_node332, statement_node333, statement_node334, statement_node335, statement_node336, statement_node337, statement_node338, statement_node339, statement_node340, statement_node341, statement_node342, statement_node343, statement_node344, statement_node345, statement_node346, statement_node347, statement_node348, statement_node349, statement_node350, statement_node351, statement_node352, statement_node353, statement_node354, statement_node355, statement_node356, statement_node357, statement_node358, statement_node359, statement_node360, statement_node361, statement_node362, statement_node363, statement_node364, statement_node365, statement_node366, statement_node367, statement_node368, statement_node369, statement_node370, statement_node371, statement_node372, statement_node373, statement_node374, statement_node375, statement_node376, statement_node377, statement_node378, statement_node379, statement_node380, statement_node381, statement_node382, statement_node383, statement_node384, statement_node385, statement_node386, statement_node387, statement_node388, statement_node389, statement_node390, statement_node391, statement_node392, statement_node393, statement_node394, statement_node395, statement_node396, statement_node397, statement_node398, statement_node399, statement_node400, statement_node401, statement_node402, statement_node403, statement_node404, statement_node405, statement_node406, statement_node407, statement_node408, statement_node409, statement_node410, statement_node411, statement_node412, statement_node413, statement_node414, statement_node415, statement_node416, statement_node417, statement_node418, statement_node419, statement_node420, statement_node421, statement_node422, statement_node423, statement_node424, statement_node425, statement_node426, statement_node427, statement_node428, statement_node429, statement_node430, statement_node431, statement_node432, statement_node433, statement_node434, statement_node435, statement_node436, statement_node437, statement_node438, statement_node439, statement_node440, statement_node441, statement_node442, statement_node443, statement_node444, statement_node445, statement_node446, statement_node447, statement_node448, statement_node449, statement_node450, statement_node451, statement_node452, statement_node453, statement_node454, statement_node455, statement_node456, statement_node457, statement_node458, statement_node459, statement_node460, statement_node461, statement_node462, statement_node463, statement_node464, statement_node465, statement_node466, statement_node467, statement_node468, statement_node469, statement_node470, statement_node471, statement_node472, statement_node473, statement_node474, statement_node475, statement_node476, statement_node477, statement_node478, statement_node479, statement_node480, statement_node481, statement_node482, statement_node483, statement_node484, statement_node485, statement_node486, statement_node487, statement_node488, statement_node489, statement_node490, statement_node491, statement_node492, statement_node493, statement_node494, statement_node495, statement_node496, statement_node497, statement_node498, statement_node499, statement_node500, statement_node501, statement_node502, statement_node503, statement_node504, statement_node505, statement_node506, statement_node507, statement_node508, statement_node509, statement_node510, statement_node511, statement_node512, statement_node513, statement_node514, statement_node515, statement_node516, statement_node517, statement_node518, statement_node519, statement_node520, statement_node521, statement_node522, statement_node523]
def networkConjunction : Prop := (((((((((statement_node0 ∧ statement_node1) ∧ (statement_node2 ∧ statement_node3)) ∧ ((statement_node4 ∧ statement_node5) ∧ (statement_node6 ∧ statement_node7))) ∧ (((statement_node8 ∧ statement_node9) ∧ (statement_node10 ∧ statement_node11)) ∧ ((statement_node12 ∧ statement_node13) ∧ (statement_node14 ∧ statement_node15)))) ∧ ((((statement_node16 ∧ statement_node17) ∧ (statement_node18 ∧ statement_node19)) ∧ ((statement_node20 ∧ statement_node21) ∧ (statement_node22 ∧ statement_node23))) ∧ (((statement_node24 ∧ statement_node25) ∧ (statement_node26 ∧ statement_node27)) ∧ ((statement_node28 ∧ statement_node29) ∧ (statement_node30 ∧ statement_node31))))) ∧ (((((statement_node32 ∧ statement_node33) ∧ (statement_node34 ∧ statement_node35)) ∧ ((statement_node36 ∧ statement_node37) ∧ (statement_node38 ∧ statement_node39))) ∧ (((statement_node40 ∧ statement_node41) ∧ (statement_node42 ∧ statement_node43)) ∧ ((statement_node44 ∧ statement_node45) ∧ (statement_node46 ∧ statement_node47)))) ∧ ((((statement_node48 ∧ statement_node49) ∧ (statement_node50 ∧ statement_node51)) ∧ ((statement_node52 ∧ statement_node53) ∧ (statement_node54 ∧ statement_node55))) ∧ (((statement_node56 ∧ statement_node57) ∧ (statement_node58 ∧ statement_node59)) ∧ ((statement_node60 ∧ statement_node61) ∧ (statement_node62 ∧ (statement_node63 ∧ statement_node64))))))) ∧ ((((((statement_node65 ∧ statement_node66) ∧ (statement_node67 ∧ statement_node68)) ∧ ((statement_node69 ∧ statement_node70) ∧ (statement_node71 ∧ statement_node72))) ∧ (((statement_node73 ∧ statement_node74) ∧ (statement_node75 ∧ statement_node76)) ∧ ((statement_node77 ∧ statement_node78) ∧ (statement_node79 ∧ statement_node80)))) ∧ ((((statement_node81 ∧ statement_node82) ∧ (statement_node83 ∧ statement_node84)) ∧ ((statement_node85 ∧ statement_node86) ∧ (statement_node87 ∧ statement_node88))) ∧ (((statement_node89 ∧ statement_node90) ∧ (statement_node91 ∧ statement_node92)) ∧ ((statement_node93 ∧ statement_node94) ∧ (statement_node95 ∧ (statement_node96 ∧ statement_node97)))))) ∧ (((((statement_node98 ∧ statement_node99) ∧ (statement_node100 ∧ statement_node101)) ∧ ((statement_node102 ∧ statement_node103) ∧ (statement_node104 ∧ statement_node105))) ∧ (((statement_node106 ∧ statement_node107) ∧ (statement_node108 ∧ statement_node109)) ∧ ((statement_node110 ∧ statement_node111) ∧ (statement_node112 ∧ statement_node113)))) ∧ ((((statement_node114 ∧ statement_node115) ∧ (statement_node116 ∧ statement_node117)) ∧ ((statement_node118 ∧ statement_node119) ∧ (statement_node120 ∧ statement_node121))) ∧ (((statement_node122 ∧ statement_node123) ∧ (statement_node124 ∧ statement_node125)) ∧ ((statement_node126 ∧ statement_node127) ∧ (statement_node128 ∧ (statement_node129 ∧ statement_node130)))))))) ∧ (((((((statement_node131 ∧ statement_node132) ∧ (statement_node133 ∧ statement_node134)) ∧ ((statement_node135 ∧ statement_node136) ∧ (statement_node137 ∧ statement_node138))) ∧ (((statement_node139 ∧ statement_node140) ∧ (statement_node141 ∧ statement_node142)) ∧ ((statement_node143 ∧ statement_node144) ∧ (statement_node145 ∧ statement_node146)))) ∧ ((((statement_node147 ∧ statement_node148) ∧ (statement_node149 ∧ statement_node150)) ∧ ((statement_node151 ∧ statement_node152) ∧ (statement_node153 ∧ statement_node154))) ∧ (((statement_node155 ∧ statement_node156) ∧ (statement_node157 ∧ statement_node158)) ∧ ((statement_node159 ∧ statement_node160) ∧ (statement_node161 ∧ statement_node162))))) ∧ (((((statement_node163 ∧ statement_node164) ∧ (statement_node165 ∧ statement_node166)) ∧ ((statement_node167 ∧ statement_node168) ∧ (statement_node169 ∧ statement_node170))) ∧ (((statement_node171 ∧ statement_node172) ∧ (statement_node173 ∧ statement_node174)) ∧ ((statement_node175 ∧ statement_node176) ∧ (statement_node177 ∧ statement_node178)))) ∧ ((((statement_node179 ∧ statement_node180) ∧ (statement_node181 ∧ statement_node182)) ∧ ((statement_node183 ∧ statement_node184) ∧ (statement_node185 ∧ statement_node186))) ∧ (((statement_node187 ∧ statement_node188) ∧ (statement_node189 ∧ statement_node190)) ∧ ((statement_node191 ∧ statement_node192) ∧ (statement_node193 ∧ (statement_node194 ∧ statement_node195))))))) ∧ ((((((statement_node196 ∧ statement_node197) ∧ (statement_node198 ∧ statement_node199)) ∧ ((statement_node200 ∧ statement_node201) ∧ (statement_node202 ∧ statement_node203))) ∧ (((statement_node204 ∧ statement_node205) ∧ (statement_node206 ∧ statement_node207)) ∧ ((statement_node208 ∧ statement_node209) ∧ (statement_node210 ∧ statement_node211)))) ∧ ((((statement_node212 ∧ statement_node213) ∧ (statement_node214 ∧ statement_node215)) ∧ ((statement_node216 ∧ statement_node217) ∧ (statement_node218 ∧ statement_node219))) ∧ (((statement_node220 ∧ statement_node221) ∧ (statement_node222 ∧ statement_node223)) ∧ ((statement_node224 ∧ statement_node225) ∧ (statement_node226 ∧ (statement_node227 ∧ statement_node228)))))) ∧ (((((statement_node229 ∧ statement_node230) ∧ (statement_node231 ∧ statement_node232)) ∧ ((statement_node233 ∧ statement_node234) ∧ (statement_node235 ∧ statement_node236))) ∧ (((statement_node237 ∧ statement_node238) ∧ (statement_node239 ∧ statement_node240)) ∧ ((statement_node241 ∧ statement_node242) ∧ (statement_node243 ∧ statement_node244)))) ∧ ((((statement_node245 ∧ statement_node246) ∧ (statement_node247 ∧ statement_node248)) ∧ ((statement_node249 ∧ statement_node250) ∧ (statement_node251 ∧ statement_node252))) ∧ (((statement_node253 ∧ statement_node254) ∧ (statement_node255 ∧ statement_node256)) ∧ ((statement_node257 ∧ statement_node258) ∧ (statement_node259 ∧ (statement_node260 ∧ statement_node261))))))))) ∧ ((((((((statement_node262 ∧ statement_node263) ∧ (statement_node264 ∧ statement_node265)) ∧ ((statement_node266 ∧ statement_node267) ∧ (statement_node268 ∧ statement_node269))) ∧ (((statement_node270 ∧ statement_node271) ∧ (statement_node272 ∧ statement_node273)) ∧ ((statement_node274 ∧ statement_node275) ∧ (statement_node276 ∧ statement_node277)))) ∧ ((((statement_node278 ∧ statement_node279) ∧ (statement_node280 ∧ statement_node281)) ∧ ((statement_node282 ∧ statement_node283) ∧ (statement_node284 ∧ statement_node285))) ∧ (((statement_node286 ∧ statement_node287) ∧ (statement_node288 ∧ statement_node289)) ∧ ((statement_node290 ∧ statement_node291) ∧ (statement_node292 ∧ statement_node293))))) ∧ (((((statement_node294 ∧ statement_node295) ∧ (statement_node296 ∧ statement_node297)) ∧ ((statement_node298 ∧ statement_node299) ∧ (statement_node300 ∧ statement_node301))) ∧ (((statement_node302 ∧ statement_node303) ∧ (statement_node304 ∧ statement_node305)) ∧ ((statement_node306 ∧ statement_node307) ∧ (statement_node308 ∧ statement_node309)))) ∧ ((((statement_node310 ∧ statement_node311) ∧ (statement_node312 ∧ statement_node313)) ∧ ((statement_node314 ∧ statement_node315) ∧ (statement_node316 ∧ statement_node317))) ∧ (((statement_node318 ∧ statement_node319) ∧ (statement_node320 ∧ statement_node321)) ∧ ((statement_node322 ∧ statement_node323) ∧ (statement_node324 ∧ (statement_node325 ∧ statement_node326))))))) ∧ ((((((statement_node327 ∧ statement_node328) ∧ (statement_node329 ∧ statement_node330)) ∧ ((statement_node331 ∧ statement_node332) ∧ (statement_node333 ∧ statement_node334))) ∧ (((statement_node335 ∧ statement_node336) ∧ (statement_node337 ∧ statement_node338)) ∧ ((statement_node339 ∧ statement_node340) ∧ (statement_node341 ∧ statement_node342)))) ∧ ((((statement_node343 ∧ statement_node344) ∧ (statement_node345 ∧ statement_node346)) ∧ ((statement_node347 ∧ statement_node348) ∧ (statement_node349 ∧ statement_node350))) ∧ (((statement_node351 ∧ statement_node352) ∧ (statement_node353 ∧ statement_node354)) ∧ ((statement_node355 ∧ statement_node356) ∧ (statement_node357 ∧ (statement_node358 ∧ statement_node359)))))) ∧ (((((statement_node360 ∧ statement_node361) ∧ (statement_node362 ∧ statement_node363)) ∧ ((statement_node364 ∧ statement_node365) ∧ (statement_node366 ∧ statement_node367))) ∧ (((statement_node368 ∧ statement_node369) ∧ (statement_node370 ∧ statement_node371)) ∧ ((statement_node372 ∧ statement_node373) ∧ (statement_node374 ∧ statement_node375)))) ∧ ((((statement_node376 ∧ statement_node377) ∧ (statement_node378 ∧ statement_node379)) ∧ ((statement_node380 ∧ statement_node381) ∧ (statement_node382 ∧ statement_node383))) ∧ (((statement_node384 ∧ statement_node385) ∧ (statement_node386 ∧ statement_node387)) ∧ ((statement_node388 ∧ statement_node389) ∧ (statement_node390 ∧ (statement_node391 ∧ statement_node392)))))))) ∧ (((((((statement_node393 ∧ statement_node394) ∧ (statement_node395 ∧ statement_node396)) ∧ ((statement_node397 ∧ statement_node398) ∧ (statement_node399 ∧ statement_node400))) ∧ (((statement_node401 ∧ statement_node402) ∧ (statement_node403 ∧ statement_node404)) ∧ ((statement_node405 ∧ statement_node406) ∧ (statement_node407 ∧ statement_node408)))) ∧ ((((statement_node409 ∧ statement_node410) ∧ (statement_node411 ∧ statement_node412)) ∧ ((statement_node413 ∧ statement_node414) ∧ (statement_node415 ∧ statement_node416))) ∧ (((statement_node417 ∧ statement_node418) ∧ (statement_node419 ∧ statement_node420)) ∧ ((statement_node421 ∧ statement_node422) ∧ (statement_node423 ∧ statement_node424))))) ∧ (((((statement_node425 ∧ statement_node426) ∧ (statement_node427 ∧ statement_node428)) ∧ ((statement_node429 ∧ statement_node430) ∧ (statement_node431 ∧ statement_node432))) ∧ (((statement_node433 ∧ statement_node434) ∧ (statement_node435 ∧ statement_node436)) ∧ ((statement_node437 ∧ statement_node438) ∧ (statement_node439 ∧ statement_node440)))) ∧ ((((statement_node441 ∧ statement_node442) ∧ (statement_node443 ∧ statement_node444)) ∧ ((statement_node445 ∧ statement_node446) ∧ (statement_node447 ∧ statement_node448))) ∧ (((statement_node449 ∧ statement_node450) ∧ (statement_node451 ∧ statement_node452)) ∧ ((statement_node453 ∧ statement_node454) ∧ (statement_node455 ∧ (statement_node456 ∧ statement_node457))))))) ∧ ((((((statement_node458 ∧ statement_node459) ∧ (statement_node460 ∧ statement_node461)) ∧ ((statement_node462 ∧ statement_node463) ∧ (statement_node464 ∧ statement_node465))) ∧ (((statement_node466 ∧ statement_node467) ∧ (statement_node468 ∧ statement_node469)) ∧ ((statement_node470 ∧ statement_node471) ∧ (statement_node472 ∧ statement_node473)))) ∧ ((((statement_node474 ∧ statement_node475) ∧ (statement_node476 ∧ statement_node477)) ∧ ((statement_node478 ∧ statement_node479) ∧ (statement_node480 ∧ statement_node481))) ∧ (((statement_node482 ∧ statement_node483) ∧ (statement_node484 ∧ statement_node485)) ∧ ((statement_node486 ∧ statement_node487) ∧ (statement_node488 ∧ (statement_node489 ∧ statement_node490)))))) ∧ (((((statement_node491 ∧ statement_node492) ∧ (statement_node493 ∧ statement_node494)) ∧ ((statement_node495 ∧ statement_node496) ∧ (statement_node497 ∧ statement_node498))) ∧ (((statement_node499 ∧ statement_node500) ∧ (statement_node501 ∧ statement_node502)) ∧ ((statement_node503 ∧ statement_node504) ∧ (statement_node505 ∧ statement_node506)))) ∧ ((((statement_node507 ∧ statement_node508) ∧ (statement_node509 ∧ statement_node510)) ∧ ((statement_node511 ∧ statement_node512) ∧ (statement_node513 ∧ statement_node514))) ∧ (((statement_node515 ∧ statement_node516) ∧ (statement_node517 ∧ statement_node518)) ∧ ((statement_node519 ∧ statement_node520) ∧ (statement_node521 ∧ (statement_node522 ∧ statement_node523))))))))))
theorem whole_network_conjunction : networkConjunction := (And.intro (And.intro (And.intro (And.intro (And.intro (And.intro (And.intro (And.intro (And.intro certified_node0 certified_node1) (And.intro certified_node2 certified_node3)) (And.intro (And.intro certified_node4 certified_node5) (And.intro certified_node6 certified_node7))) (And.intro (And.intro (And.intro certified_node8 certified_node9) (And.intro certified_node10 certified_node11)) (And.intro (And.intro certified_node12 certified_node13) (And.intro certified_node14 certified_node15)))) (And.intro (And.intro (And.intro (And.intro certified_node16 certified_node17) (And.intro certified_node18 certified_node19)) (And.intro (And.intro certified_node20 certified_node21) (And.intro certified_node22 certified_node23))) (And.intro (And.intro (And.intro certified_node24 certified_node25) (And.intro certified_node26 certified_node27)) (And.intro (And.intro certified_node28 certified_node29) (And.intro certified_node30 certified_node31))))) (And.intro (And.intro (And.intro (And.intro (And.intro certified_node32 certified_node33) (And.intro certified_node34 certified_node35)) (And.intro (And.intro certified_node36 certified_node37) (And.intro certified_node38 certified_node39))) (And.intro (And.intro (And.intro certified_node40 certified_node41) (And.intro certified_node42 certified_node43)) (And.intro (And.intro certified_node44 certified_node45) (And.intro certified_node46 certified_node47)))) (And.intro (And.intro (And.intro (And.intro certified_node48 certified_node49) (And.intro certified_node50 certified_node51)) (And.intro (And.intro certified_node52 certified_node53) (And.intro certified_node54 certified_node55))) (And.intro (And.intro (And.intro certified_node56 certified_node57) (And.intro certified_node58 certified_node59)) (And.intro (And.intro certified_node60 certified_node61) (And.intro certified_node62 (And.intro certified_node63 certified_node64))))))) (And.intro (And.intro (And.intro (And.intro (And.intro (And.intro certified_node65 certified_node66) (And.intro certified_node67 certified_node68)) (And.intro (And.intro certified_node69 certified_node70) (And.intro certified_node71 certified_node72))) (And.intro (And.intro (And.intro certified_node73 certified_node74) (And.intro certified_node75 certified_node76)) (And.intro (And.intro certified_node77 certified_node78) (And.intro certified_node79 certified_node80)))) (And.intro (And.intro (And.intro (And.intro certified_node81 certified_node82) (And.intro certified_node83 certified_node84)) (And.intro (And.intro certified_node85 certified_node86) (And.intro certified_node87 certified_node88))) (And.intro (And.intro (And.intro certified_node89 certified_node90) (And.intro certified_node91 certified_node92)) (And.intro (And.intro certified_node93 certified_node94) (And.intro certified_node95 (And.intro certified_node96 certified_node97)))))) (And.intro (And.intro (And.intro (And.intro (And.intro certified_node98 certified_node99) (And.intro certified_node100 certified_node101)) (And.intro (And.intro certified_node102 certified_node103) (And.intro certified_node104 certified_node105))) (And.intro (And.intro (And.intro certified_node106 certified_node107) (And.intro certified_node108 certified_node109)) (And.intro (And.intro certified_node110 certified_node111) (And.intro certified_node112 certified_node113)))) (And.intro (And.intro (And.intro (And.intro certified_node114 certified_node115) (And.intro certified_node116 certified_node117)) (And.intro (And.intro certified_node118 certified_node119) (And.intro certified_node120 certified_node121))) (And.intro (And.intro (And.intro certified_node122 certified_node123) (And.intro certified_node124 certified_node125)) (And.intro (And.intro certified_node126 certified_node127) (And.intro certified_node128 (And.intro certified_node129 certified_node130)))))))) (And.intro (And.intro (And.intro (And.intro (And.intro (And.intro (And.intro certified_node131 certified_node132) (And.intro certified_node133 certified_node134)) (And.intro (And.intro certified_node135 certified_node136) (And.intro certified_node137 certified_node138))) (And.intro (And.intro (And.intro certified_node139 certified_node140) (And.intro certified_node141 certified_node142)) (And.intro (And.intro certified_node143 certified_node144) (And.intro certified_node145 certified_node146)))) (And.intro (And.intro (And.intro (And.intro certified_node147 certified_node148) (And.intro certified_node149 certified_node150)) (And.intro (And.intro certified_node151 certified_node152) (And.intro certified_node153 certified_node154))) (And.intro (And.intro (And.intro certified_node155 certified_node156) (And.intro certified_node157 certified_node158)) (And.intro (And.intro certified_node159 certified_node160) (And.intro certified_node161 certified_node162))))) (And.intro (And.intro (And.intro (And.intro (And.intro certified_node163 certified_node164) (And.intro certified_node165 certified_node166)) (And.intro (And.intro certified_node167 certified_node168) (And.intro certified_node169 certified_node170))) (And.intro (And.intro (And.intro certified_node171 certified_node172) (And.intro certified_node173 certified_node174)) (And.intro (And.intro certified_node175 certified_node176) (And.intro certified_node177 certified_node178)))) (And.intro (And.intro (And.intro (And.intro certified_node179 certified_node180) (And.intro certified_node181 certified_node182)) (And.intro (And.intro certified_node183 certified_node184) (And.intro certified_node185 certified_node186))) (And.intro (And.intro (And.intro certified_node187 certified_node188) (And.intro certified_node189 certified_node190)) (And.intro (And.intro certified_node191 certified_node192) (And.intro certified_node193 (And.intro certified_node194 certified_node195))))))) (And.intro (And.intro (And.intro (And.intro (And.intro (And.intro certified_node196 certified_node197) (And.intro certified_node198 certified_node199)) (And.intro (And.intro certified_node200 certified_node201) (And.intro certified_node202 certified_node203))) (And.intro (And.intro (And.intro certified_node204 certified_node205) (And.intro certified_node206 certified_node207)) (And.intro (And.intro certified_node208 certified_node209) (And.intro certified_node210 certified_node211)))) (And.intro (And.intro (And.intro (And.intro certified_node212 certified_node213) (And.intro certified_node214 certified_node215)) (And.intro (And.intro certified_node216 certified_node217) (And.intro certified_node218 certified_node219))) (And.intro (And.intro (And.intro certified_node220 certified_node221) (And.intro certified_node222 certified_node223)) (And.intro (And.intro certified_node224 certified_node225) (And.intro certified_node226 (And.intro certified_node227 certified_node228)))))) (And.intro (And.intro (And.intro (And.intro (And.intro certified_node229 certified_node230) (And.intro certified_node231 certified_node232)) (And.intro (And.intro certified_node233 certified_node234) (And.intro certified_node235 certified_node236))) (And.intro (And.intro (And.intro certified_node237 certified_node238) (And.intro certified_node239 certified_node240)) (And.intro (And.intro certified_node241 certified_node242) (And.intro certified_node243 certified_node244)))) (And.intro (And.intro (And.intro (And.intro certified_node245 certified_node246) (And.intro certified_node247 certified_node248)) (And.intro (And.intro certified_node249 certified_node250) (And.intro certified_node251 certified_node252))) (And.intro (And.intro (And.intro certified_node253 certified_node254) (And.intro certified_node255 certified_node256)) (And.intro (And.intro certified_node257 certified_node258) (And.intro certified_node259 (And.intro certified_node260 certified_node261))))))))) (And.intro (And.intro (And.intro (And.intro (And.intro (And.intro (And.intro (And.intro certified_node262 certified_node263) (And.intro certified_node264 certified_node265)) (And.intro (And.intro certified_node266 certified_node267) (And.intro certified_node268 certified_node269))) (And.intro (And.intro (And.intro certified_node270 certified_node271) (And.intro certified_node272 certified_node273)) (And.intro (And.intro certified_node274 certified_node275) (And.intro certified_node276 certified_node277)))) (And.intro (And.intro (And.intro (And.intro certified_node278 certified_node279) (And.intro certified_node280 certified_node281)) (And.intro (And.intro certified_node282 certified_node283) (And.intro certified_node284 certified_node285))) (And.intro (And.intro (And.intro certified_node286 certified_node287) (And.intro certified_node288 certified_node289)) (And.intro (And.intro certified_node290 certified_node291) (And.intro certified_node292 certified_node293))))) (And.intro (And.intro (And.intro (And.intro (And.intro certified_node294 certified_node295) (And.intro certified_node296 certified_node297)) (And.intro (And.intro certified_node298 certified_node299) (And.intro certified_node300 certified_node301))) (And.intro (And.intro (And.intro certified_node302 certified_node303) (And.intro certified_node304 certified_node305)) (And.intro (And.intro certified_node306 certified_node307) (And.intro certified_node308 certified_node309)))) (And.intro (And.intro (And.intro (And.intro certified_node310 certified_node311) (And.intro certified_node312 certified_node313)) (And.intro (And.intro certified_node314 certified_node315) (And.intro certified_node316 certified_node317))) (And.intro (And.intro (And.intro certified_node318 certified_node319) (And.intro certified_node320 certified_node321)) (And.intro (And.intro certified_node322 certified_node323) (And.intro certified_node324 (And.intro certified_node325 certified_node326))))))) (And.intro (And.intro (And.intro (And.intro (And.intro (And.intro certified_node327 certified_node328) (And.intro certified_node329 certified_node330)) (And.intro (And.intro certified_node331 certified_node332) (And.intro certified_node333 certified_node334))) (And.intro (And.intro (And.intro certified_node335 certified_node336) (And.intro certified_node337 certified_node338)) (And.intro (And.intro certified_node339 certified_node340) (And.intro certified_node341 certified_node342)))) (And.intro (And.intro (And.intro (And.intro certified_node343 certified_node344) (And.intro certified_node345 certified_node346)) (And.intro (And.intro certified_node347 certified_node348) (And.intro certified_node349 certified_node350))) (And.intro (And.intro (And.intro certified_node351 certified_node352) (And.intro certified_node353 certified_node354)) (And.intro (And.intro certified_node355 certified_node356) (And.intro certified_node357 (And.intro certified_node358 certified_node359)))))) (And.intro (And.intro (And.intro (And.intro (And.intro certified_node360 certified_node361) (And.intro certified_node362 certified_node363)) (And.intro (And.intro certified_node364 certified_node365) (And.intro certified_node366 certified_node367))) (And.intro (And.intro (And.intro certified_node368 certified_node369) (And.intro certified_node370 certified_node371)) (And.intro (And.intro certified_node372 certified_node373) (And.intro certified_node374 certified_node375)))) (And.intro (And.intro (And.intro (And.intro certified_node376 certified_node377) (And.intro certified_node378 certified_node379)) (And.intro (And.intro certified_node380 certified_node381) (And.intro certified_node382 certified_node383))) (And.intro (And.intro (And.intro certified_node384 certified_node385) (And.intro certified_node386 certified_node387)) (And.intro (And.intro certified_node388 certified_node389) (And.intro certified_node390 (And.intro certified_node391 certified_node392)))))))) (And.intro (And.intro (And.intro (And.intro (And.intro (And.intro (And.intro certified_node393 certified_node394) (And.intro certified_node395 certified_node396)) (And.intro (And.intro certified_node397 certified_node398) (And.intro certified_node399 certified_node400))) (And.intro (And.intro (And.intro certified_node401 certified_node402) (And.intro certified_node403 certified_node404)) (And.intro (And.intro certified_node405 certified_node406) (And.intro certified_node407 certified_node408)))) (And.intro (And.intro (And.intro (And.intro certified_node409 certified_node410) (And.intro certified_node411 certified_node412)) (And.intro (And.intro certified_node413 certified_node414) (And.intro certified_node415 certified_node416))) (And.intro (And.intro (And.intro certified_node417 certified_node418) (And.intro certified_node419 certified_node420)) (And.intro (And.intro certified_node421 certified_node422) (And.intro certified_node423 certified_node424))))) (And.intro (And.intro (And.intro (And.intro (And.intro certified_node425 certified_node426) (And.intro certified_node427 certified_node428)) (And.intro (And.intro certified_node429 certified_node430) (And.intro certified_node431 certified_node432))) (And.intro (And.intro (And.intro certified_node433 certified_node434) (And.intro certified_node435 certified_node436)) (And.intro (And.intro certified_node437 certified_node438) (And.intro certified_node439 certified_node440)))) (And.intro (And.intro (And.intro (And.intro certified_node441 certified_node442) (And.intro certified_node443 certified_node444)) (And.intro (And.intro certified_node445 certified_node446) (And.intro certified_node447 certified_node448))) (And.intro (And.intro (And.intro certified_node449 certified_node450) (And.intro certified_node451 certified_node452)) (And.intro (And.intro certified_node453 certified_node454) (And.intro certified_node455 (And.intro certified_node456 certified_node457))))))) (And.intro (And.intro (And.intro (And.intro (And.intro (And.intro certified_node458 certified_node459) (And.intro certified_node460 certified_node461)) (And.intro (And.intro certified_node462 certified_node463) (And.intro certified_node464 certified_node465))) (And.intro (And.intro (And.intro certified_node466 certified_node467) (And.intro certified_node468 certified_node469)) (And.intro (And.intro certified_node470 certified_node471) (And.intro certified_node472 certified_node473)))) (And.intro (And.intro (And.intro (And.intro certified_node474 certified_node475) (And.intro certified_node476 certified_node477)) (And.intro (And.intro certified_node478 certified_node479) (And.intro certified_node480 certified_node481))) (And.intro (And.intro (And.intro certified_node482 certified_node483) (And.intro certified_node484 certified_node485)) (And.intro (And.intro certified_node486 certified_node487) (And.intro certified_node488 (And.intro certified_node489 certified_node490)))))) (And.intro (And.intro (And.intro (And.intro (And.intro certified_node491 certified_node492) (And.intro certified_node493 certified_node494)) (And.intro (And.intro certified_node495 certified_node496) (And.intro certified_node497 certified_node498))) (And.intro (And.intro (And.intro certified_node499 certified_node500) (And.intro certified_node501 certified_node502)) (And.intro (And.intro certified_node503 certified_node504) (And.intro certified_node505 certified_node506)))) (And.intro (And.intro (And.intro (And.intro certified_node507 certified_node508) (And.intro certified_node509 certified_node510)) (And.intro (And.intro certified_node511 certified_node512) (And.intro certified_node513 certified_node514))) (And.intro (And.intro (And.intro certified_node515 certified_node516) (And.intro certified_node517 certified_node518)) (And.intro (And.intro certified_node519 certified_node520) (And.intro certified_node521 (And.intro certified_node522 certified_node523))))))))))
theorem whole_network_certificate : Certified allStatements := (Certified.cons certified_node0 (Certified.cons certified_node1 (Certified.cons certified_node2 (Certified.cons certified_node3 (Certified.cons certified_node4 (Certified.cons certified_node5 (Certified.cons certified_node6 (Certified.cons certified_node7 (Certified.cons certified_node8 (Certified.cons certified_node9 (Certified.cons certified_node10 (Certified.cons certified_node11 (Certified.cons certified_node12 (Certified.cons certified_node13 (Certified.cons certified_node14 (Certified.cons certified_node15 (Certified.cons certified_node16 (Certified.cons certified_node17 (Certified.cons certified_node18 (Certified.cons certified_node19 (Certified.cons certified_node20 (Certified.cons certified_node21 (Certified.cons certified_node22 (Certified.cons certified_node23 (Certified.cons certified_node24 (Certified.cons certified_node25 (Certified.cons certified_node26 (Certified.cons certified_node27 (Certified.cons certified_node28 (Certified.cons certified_node29 (Certified.cons certified_node30 (Certified.cons certified_node31 (Certified.cons certified_node32 (Certified.cons certified_node33 (Certified.cons certified_node34 (Certified.cons certified_node35 (Certified.cons certified_node36 (Certified.cons certified_node37 (Certified.cons certified_node38 (Certified.cons certified_node39 (Certified.cons certified_node40 (Certified.cons certified_node41 (Certified.cons certified_node42 (Certified.cons certified_node43 (Certified.cons certified_node44 (Certified.cons certified_node45 (Certified.cons certified_node46 (Certified.cons certified_node47 (Certified.cons certified_node48 (Certified.cons certified_node49 (Certified.cons certified_node50 (Certified.cons certified_node51 (Certified.cons certified_node52 (Certified.cons certified_node53 (Certified.cons certified_node54 (Certified.cons certified_node55 (Certified.cons certified_node56 (Certified.cons certified_node57 (Certified.cons certified_node58 (Certified.cons certified_node59 (Certified.cons certified_node60 (Certified.cons certified_node61 (Certified.cons certified_node62 (Certified.cons certified_node63 (Certified.cons certified_node64 (Certified.cons certified_node65 (Certified.cons certified_node66 (Certified.cons certified_node67 (Certified.cons certified_node68 (Certified.cons certified_node69 (Certified.cons certified_node70 (Certified.cons certified_node71 (Certified.cons certified_node72 (Certified.cons certified_node73 (Certified.cons certified_node74 (Certified.cons certified_node75 (Certified.cons certified_node76 (Certified.cons certified_node77 (Certified.cons certified_node78 (Certified.cons certified_node79 (Certified.cons certified_node80 (Certified.cons certified_node81 (Certified.cons certified_node82 (Certified.cons certified_node83 (Certified.cons certified_node84 (Certified.cons certified_node85 (Certified.cons certified_node86 (Certified.cons certified_node87 (Certified.cons certified_node88 (Certified.cons certified_node89 (Certified.cons certified_node90 (Certified.cons certified_node91 (Certified.cons certified_node92 (Certified.cons certified_node93 (Certified.cons certified_node94 (Certified.cons certified_node95 (Certified.cons certified_node96 (Certified.cons certified_node97 (Certified.cons certified_node98 (Certified.cons certified_node99 (Certified.cons certified_node100 (Certified.cons certified_node101 (Certified.cons certified_node102 (Certified.cons certified_node103 (Certified.cons certified_node104 (Certified.cons certified_node105 (Certified.cons certified_node106 (Certified.cons certified_node107 (Certified.cons certified_node108 (Certified.cons certified_node109 (Certified.cons certified_node110 (Certified.cons certified_node111 (Certified.cons certified_node112 (Certified.cons certified_node113 (Certified.cons certified_node114 (Certified.cons certified_node115 (Certified.cons certified_node116 (Certified.cons certified_node117 (Certified.cons certified_node118 (Certified.cons certified_node119 (Certified.cons certified_node120 (Certified.cons certified_node121 (Certified.cons certified_node122 (Certified.cons certified_node123 (Certified.cons certified_node124 (Certified.cons certified_node125 (Certified.cons certified_node126 (Certified.cons certified_node127 (Certified.cons certified_node128 (Certified.cons certified_node129 (Certified.cons certified_node130 (Certified.cons certified_node131 (Certified.cons certified_node132 (Certified.cons certified_node133 (Certified.cons certified_node134 (Certified.cons certified_node135 (Certified.cons certified_node136 (Certified.cons certified_node137 (Certified.cons certified_node138 (Certified.cons certified_node139 (Certified.cons certified_node140 (Certified.cons certified_node141 (Certified.cons certified_node142 (Certified.cons certified_node143 (Certified.cons certified_node144 (Certified.cons certified_node145 (Certified.cons certified_node146 (Certified.cons certified_node147 (Certified.cons certified_node148 (Certified.cons certified_node149 (Certified.cons certified_node150 (Certified.cons certified_node151 (Certified.cons certified_node152 (Certified.cons certified_node153 (Certified.cons certified_node154 (Certified.cons certified_node155 (Certified.cons certified_node156 (Certified.cons certified_node157 (Certified.cons certified_node158 (Certified.cons certified_node159 (Certified.cons certified_node160 (Certified.cons certified_node161 (Certified.cons certified_node162 (Certified.cons certified_node163 (Certified.cons certified_node164 (Certified.cons certified_node165 (Certified.cons certified_node166 (Certified.cons certified_node167 (Certified.cons certified_node168 (Certified.cons certified_node169 (Certified.cons certified_node170 (Certified.cons certified_node171 (Certified.cons certified_node172 (Certified.cons certified_node173 (Certified.cons certified_node174 (Certified.cons certified_node175 (Certified.cons certified_node176 (Certified.cons certified_node177 (Certified.cons certified_node178 (Certified.cons certified_node179 (Certified.cons certified_node180 (Certified.cons certified_node181 (Certified.cons certified_node182 (Certified.cons certified_node183 (Certified.cons certified_node184 (Certified.cons certified_node185 (Certified.cons certified_node186 (Certified.cons certified_node187 (Certified.cons certified_node188 (Certified.cons certified_node189 (Certified.cons certified_node190 (Certified.cons certified_node191 (Certified.cons certified_node192 (Certified.cons certified_node193 (Certified.cons certified_node194 (Certified.cons certified_node195 (Certified.cons certified_node196 (Certified.cons certified_node197 (Certified.cons certified_node198 (Certified.cons certified_node199 (Certified.cons certified_node200 (Certified.cons certified_node201 (Certified.cons certified_node202 (Certified.cons certified_node203 (Certified.cons certified_node204 (Certified.cons certified_node205 (Certified.cons certified_node206 (Certified.cons certified_node207 (Certified.cons certified_node208 (Certified.cons certified_node209 (Certified.cons certified_node210 (Certified.cons certified_node211 (Certified.cons certified_node212 (Certified.cons certified_node213 (Certified.cons certified_node214 (Certified.cons certified_node215 (Certified.cons certified_node216 (Certified.cons certified_node217 (Certified.cons certified_node218 (Certified.cons certified_node219 (Certified.cons certified_node220 (Certified.cons certified_node221 (Certified.cons certified_node222 (Certified.cons certified_node223 (Certified.cons certified_node224 (Certified.cons certified_node225 (Certified.cons certified_node226 (Certified.cons certified_node227 (Certified.cons certified_node228 (Certified.cons certified_node229 (Certified.cons certified_node230 (Certified.cons certified_node231 (Certified.cons certified_node232 (Certified.cons certified_node233 (Certified.cons certified_node234 (Certified.cons certified_node235 (Certified.cons certified_node236 (Certified.cons certified_node237 (Certified.cons certified_node238 (Certified.cons certified_node239 (Certified.cons certified_node240 (Certified.cons certified_node241 (Certified.cons certified_node242 (Certified.cons certified_node243 (Certified.cons certified_node244 (Certified.cons certified_node245 (Certified.cons certified_node246 (Certified.cons certified_node247 (Certified.cons certified_node248 (Certified.cons certified_node249 (Certified.cons certified_node250 (Certified.cons certified_node251 (Certified.cons certified_node252 (Certified.cons certified_node253 (Certified.cons certified_node254 (Certified.cons certified_node255 (Certified.cons certified_node256 (Certified.cons certified_node257 (Certified.cons certified_node258 (Certified.cons certified_node259 (Certified.cons certified_node260 (Certified.cons certified_node261 (Certified.cons certified_node262 (Certified.cons certified_node263 (Certified.cons certified_node264 (Certified.cons certified_node265 (Certified.cons certified_node266 (Certified.cons certified_node267 (Certified.cons certified_node268 (Certified.cons certified_node269 (Certified.cons certified_node270 (Certified.cons certified_node271 (Certified.cons certified_node272 (Certified.cons certified_node273 (Certified.cons certified_node274 (Certified.cons certified_node275 (Certified.cons certified_node276 (Certified.cons certified_node277 (Certified.cons certified_node278 (Certified.cons certified_node279 (Certified.cons certified_node280 (Certified.cons certified_node281 (Certified.cons certified_node282 (Certified.cons certified_node283 (Certified.cons certified_node284 (Certified.cons certified_node285 (Certified.cons certified_node286 (Certified.cons certified_node287 (Certified.cons certified_node288 (Certified.cons certified_node289 (Certified.cons certified_node290 (Certified.cons certified_node291 (Certified.cons certified_node292 (Certified.cons certified_node293 (Certified.cons certified_node294 (Certified.cons certified_node295 (Certified.cons certified_node296 (Certified.cons certified_node297 (Certified.cons certified_node298 (Certified.cons certified_node299 (Certified.cons certified_node300 (Certified.cons certified_node301 (Certified.cons certified_node302 (Certified.cons certified_node303 (Certified.cons certified_node304 (Certified.cons certified_node305 (Certified.cons certified_node306 (Certified.cons certified_node307 (Certified.cons certified_node308 (Certified.cons certified_node309 (Certified.cons certified_node310 (Certified.cons certified_node311 (Certified.cons certified_node312 (Certified.cons certified_node313 (Certified.cons certified_node314 (Certified.cons certified_node315 (Certified.cons certified_node316 (Certified.cons certified_node317 (Certified.cons certified_node318 (Certified.cons certified_node319 (Certified.cons certified_node320 (Certified.cons certified_node321 (Certified.cons certified_node322 (Certified.cons certified_node323 (Certified.cons certified_node324 (Certified.cons certified_node325 (Certified.cons certified_node326 (Certified.cons certified_node327 (Certified.cons certified_node328 (Certified.cons certified_node329 (Certified.cons certified_node330 (Certified.cons certified_node331 (Certified.cons certified_node332 (Certified.cons certified_node333 (Certified.cons certified_node334 (Certified.cons certified_node335 (Certified.cons certified_node336 (Certified.cons certified_node337 (Certified.cons certified_node338 (Certified.cons certified_node339 (Certified.cons certified_node340 (Certified.cons certified_node341 (Certified.cons certified_node342 (Certified.cons certified_node343 (Certified.cons certified_node344 (Certified.cons certified_node345 (Certified.cons certified_node346 (Certified.cons certified_node347 (Certified.cons certified_node348 (Certified.cons certified_node349 (Certified.cons certified_node350 (Certified.cons certified_node351 (Certified.cons certified_node352 (Certified.cons certified_node353 (Certified.cons certified_node354 (Certified.cons certified_node355 (Certified.cons certified_node356 (Certified.cons certified_node357 (Certified.cons certified_node358 (Certified.cons certified_node359 (Certified.cons certified_node360 (Certified.cons certified_node361 (Certified.cons certified_node362 (Certified.cons certified_node363 (Certified.cons certified_node364 (Certified.cons certified_node365 (Certified.cons certified_node366 (Certified.cons certified_node367 (Certified.cons certified_node368 (Certified.cons certified_node369 (Certified.cons certified_node370 (Certified.cons certified_node371 (Certified.cons certified_node372 (Certified.cons certified_node373 (Certified.cons certified_node374 (Certified.cons certified_node375 (Certified.cons certified_node376 (Certified.cons certified_node377 (Certified.cons certified_node378 (Certified.cons certified_node379 (Certified.cons certified_node380 (Certified.cons certified_node381 (Certified.cons certified_node382 (Certified.cons certified_node383 (Certified.cons certified_node384 (Certified.cons certified_node385 (Certified.cons certified_node386 (Certified.cons certified_node387 (Certified.cons certified_node388 (Certified.cons certified_node389 (Certified.cons certified_node390 (Certified.cons certified_node391 (Certified.cons certified_node392 (Certified.cons certified_node393 (Certified.cons certified_node394 (Certified.cons certified_node395 (Certified.cons certified_node396 (Certified.cons certified_node397 (Certified.cons certified_node398 (Certified.cons certified_node399 (Certified.cons certified_node400 (Certified.cons certified_node401 (Certified.cons certified_node402 (Certified.cons certified_node403 (Certified.cons certified_node404 (Certified.cons certified_node405 (Certified.cons certified_node406 (Certified.cons certified_node407 (Certified.cons certified_node408 (Certified.cons certified_node409 (Certified.cons certified_node410 (Certified.cons certified_node411 (Certified.cons certified_node412 (Certified.cons certified_node413 (Certified.cons certified_node414 (Certified.cons certified_node415 (Certified.cons certified_node416 (Certified.cons certified_node417 (Certified.cons certified_node418 (Certified.cons certified_node419 (Certified.cons certified_node420 (Certified.cons certified_node421 (Certified.cons certified_node422 (Certified.cons certified_node423 (Certified.cons certified_node424 (Certified.cons certified_node425 (Certified.cons certified_node426 (Certified.cons certified_node427 (Certified.cons certified_node428 (Certified.cons certified_node429 (Certified.cons certified_node430 (Certified.cons certified_node431 (Certified.cons certified_node432 (Certified.cons certified_node433 (Certified.cons certified_node434 (Certified.cons certified_node435 (Certified.cons certified_node436 (Certified.cons certified_node437 (Certified.cons certified_node438 (Certified.cons certified_node439 (Certified.cons certified_node440 (Certified.cons certified_node441 (Certified.cons certified_node442 (Certified.cons certified_node443 (Certified.cons certified_node444 (Certified.cons certified_node445 (Certified.cons certified_node446 (Certified.cons certified_node447 (Certified.cons certified_node448 (Certified.cons certified_node449 (Certified.cons certified_node450 (Certified.cons certified_node451 (Certified.cons certified_node452 (Certified.cons certified_node453 (Certified.cons certified_node454 (Certified.cons certified_node455 (Certified.cons certified_node456 (Certified.cons certified_node457 (Certified.cons certified_node458 (Certified.cons certified_node459 (Certified.cons certified_node460 (Certified.cons certified_node461 (Certified.cons certified_node462 (Certified.cons certified_node463 (Certified.cons certified_node464 (Certified.cons certified_node465 (Certified.cons certified_node466 (Certified.cons certified_node467 (Certified.cons certified_node468 (Certified.cons certified_node469 (Certified.cons certified_node470 (Certified.cons certified_node471 (Certified.cons certified_node472 (Certified.cons certified_node473 (Certified.cons certified_node474 (Certified.cons certified_node475 (Certified.cons certified_node476 (Certified.cons certified_node477 (Certified.cons certified_node478 (Certified.cons certified_node479 (Certified.cons certified_node480 (Certified.cons certified_node481 (Certified.cons certified_node482 (Certified.cons certified_node483 (Certified.cons certified_node484 (Certified.cons certified_node485 (Certified.cons certified_node486 (Certified.cons certified_node487 (Certified.cons certified_node488 (Certified.cons certified_node489 (Certified.cons certified_node490 (Certified.cons certified_node491 (Certified.cons certified_node492 (Certified.cons certified_node493 (Certified.cons certified_node494 (Certified.cons certified_node495 (Certified.cons certified_node496 (Certified.cons certified_node497 (Certified.cons certified_node498 (Certified.cons certified_node499 (Certified.cons certified_node500 (Certified.cons certified_node501 (Certified.cons certified_node502 (Certified.cons certified_node503 (Certified.cons certified_node504 (Certified.cons certified_node505 (Certified.cons certified_node506 (Certified.cons certified_node507 (Certified.cons certified_node508 (Certified.cons certified_node509 (Certified.cons certified_node510 (Certified.cons certified_node511 (Certified.cons certified_node512 (Certified.cons certified_node513 (Certified.cons certified_node514 (Certified.cons certified_node515 (Certified.cons certified_node516 (Certified.cons certified_node517 (Certified.cons certified_node518 (Certified.cons certified_node519 (Certified.cons certified_node520 (Certified.cons certified_node521 (Certified.cons certified_node522 (Certified.cons certified_node523 Certified.nil))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
theorem every_network_node_is_proved (p : Prop) (membership : p ∈ allStatements) : p :=
  certified_member whole_network_certificate p membership
theorem false_is_not_a_network_node : ¬ (False ∈ allStatements) :=
  fun membership => every_network_node_is_proved False membership
theorem network_has_no_contradictory_member (p : Prop) (membership : p ∈ allStatements) : ¬ ¬ p :=
  fun denial => denial (every_network_node_is_proved p membership)
theorem complete_network_not_false : ¬ (networkConjunction → False) :=
  fun denial => denial whole_network_conjunction

-- These licenses govern links; topic resemblance alone is not an entailment.
theorem scoped_implication_composition {P Q R : Prop} (first : P → Q) (second : Q → R) : P → R :=
  fun premise => second (first premise)
theorem scoped_many_conclusion_fork {P Q R : Prop} (first : P → Q) (second : P → R) : P → Q ∧ R :=
  fun premise => ⟨first premise, second premise⟩
theorem independent_context_union {A B P Q : Prop} (first : A → P) (second : B → Q) : A ∧ B → P ∧ Q :=
  fun context => ⟨first context.left, second context.right⟩
theorem equivalent_context_transport {A B P : Prop} (equivalent : A ↔ B) (proof : A → P) : B → P :=
  fun context => proof (equivalent.mpr context)
theorem higher_order_path_composition {A B C D : Prop}
    (ab : A → B) (bc : B → C) (cd : C → D) : A → D :=
  fun premise => cd (bc (ab premise))
end HunterProofNetwork

#print axioms NetworkSources.Source0.HunterAuthored.inference_1
#print axioms NetworkSources.Source0.HunterAuthored.inference_2
#print axioms NetworkSources.Source1.HunterAuthored.inference_1
#print axioms NetworkSources.Source2.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source3.HunterAuthored.inference_1
#print axioms NetworkSources.Source3.HunterAuthored.inference_2
#print axioms NetworkSources.Source3.HunterAuthored.inference_3
#print axioms NetworkSources.Source3.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source4.HunterAuthored.inference_1
#print axioms NetworkSources.Source5.HunterAuthored.inference_1
#print axioms NetworkSources.Source5.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source6.HunterAuthored.inference_1
#print axioms NetworkSources.Source7.HunterAuthored.inference_1
#print axioms NetworkSources.Source8.HunterAuthored.inference_1
#print axioms NetworkSources.Source9.HunterAuthored.inference_2
#print axioms NetworkSources.Source10.HunterAuthored.inference_2
#print axioms NetworkSources.Source11.HunterAuthored.inference_1
#print axioms NetworkSources.Source12.HunterAuthored.inference_1
#print axioms NetworkSources.Source13.HunterAuthored.inference_1
#print axioms NetworkSources.Source14.HunterAuthored.inference_1
#print axioms NetworkSources.Source14.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source15.HunterAuthored.inference_1
#print axioms NetworkSources.Source15.HunterAuthored.inference_2
#print axioms NetworkSources.Source15.HunterAuthored.inference_3
#print axioms NetworkSources.Source15.HunterAuthored.inference_4
#print axioms NetworkSources.Source16.HunterAuthored.inference_1
#print axioms NetworkSources.Source17.HunterAuthored.inference_1
#print axioms NetworkSources.Source17.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source18.HunterAuthored.inference_1
#print axioms NetworkSources.Source18.HunterAuthored.inference_2
#print axioms NetworkSources.Source18.HunterAuthored.inference_3
#print axioms NetworkSources.Source18.HunterAuthored.inference_4
#print axioms NetworkSources.Source18.HunterAuthored.inference_5
#print axioms NetworkSources.Source18.HunterAuthored.inference_6
#print axioms NetworkSources.Source18.HunterAuthored.inference_7
#print axioms NetworkSources.Source18.HunterAuthored.inference_8
#print axioms NetworkSources.Source18.HunterAuthored.inference_9
#print axioms NetworkSources.Source18.HunterAuthored.inference_11
#print axioms NetworkSources.Source18.HunterAuthored.inference_13
#print axioms NetworkSources.Source18.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source19.HunterAuthored.inference_1
#print axioms NetworkSources.Source20.HunterAuthored.inference_1
#print axioms NetworkSources.Source21.HunterAuthored.inference_1
#print axioms NetworkSources.Source22.HunterAuthored.inference_1
#print axioms NetworkSources.Source23.HunterAuthored.inference_1
#print axioms NetworkSources.Source23.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source24.HunterAuthored.inference_1
#print axioms NetworkSources.Source25.HunterAuthored.inference_1
#print axioms NetworkSources.Source26.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source27.HunterAuthored.inference_1
#print axioms NetworkSources.Source28.HunterAuthored.inference_1
#print axioms NetworkSources.Source28.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source29.HunterAuthored.inference_1
#print axioms NetworkSources.Source29.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source30.HunterAuthored.inference_1
#print axioms NetworkSources.Source31.HunterAuthored.inference_1
#print axioms NetworkSources.Source31.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source32.HunterAuthored.inference_1
#print axioms NetworkSources.Source33.HunterAuthored.inference_1
#print axioms NetworkSources.Source34.HunterAuthored.inference_1
#print axioms NetworkSources.Source35.HunterAuthored.inference_1
#print axioms NetworkSources.Source36.HunterAuthored.inference_1
#print axioms NetworkSources.Source36.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source37.HunterAuthored.inference_1
#print axioms NetworkSources.Source38.HunterAuthored.inference_1
#print axioms NetworkSources.Source38.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source39.HunterAuthored.inference_1
#print axioms NetworkSources.Source40.HunterAuthored.inference_1
#print axioms NetworkSources.Source41.HunterAuthored.inference_1
#print axioms NetworkSources.Source42.HunterAuthored.inference_1
#print axioms NetworkSources.Source43.HunterAuthored.inference_1
#print axioms NetworkSources.Source44.HunterAuthored.inference_1
#print axioms NetworkSources.Source44.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source45.HunterAuthored.inference_1
#print axioms NetworkSources.Source46.HunterAuthored.inference_1
#print axioms NetworkSources.Source47.HunterAuthored.inference_1
#print axioms NetworkSources.Source48.HunterAuthored.conditional_returns_declared_branch
#print axioms NetworkSources.Source49.HunterAuthored.conditional_returns_declared_branch
#print axioms NetworkSources.Source50.HunterAuthored.inference_1
#print axioms NetworkSources.Source51.HunterAuthored.inference_1
#print axioms NetworkSources.Source51.HunterAuthored.inference_2
#print axioms NetworkSources.Source52.HunterAuthored.inference_1
#print axioms NetworkSources.Source53.HunterAuthored.inference_1
#print axioms NetworkSources.Source54.HunterAuthored.inference_1
#print axioms NetworkSources.Source54.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source55.HunterAuthored.inference_1
#print axioms NetworkSources.Source56.HunterAuthored.inference_1
#print axioms NetworkSources.Source57.HunterAuthored.inference_1
#print axioms NetworkSources.Source57.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source58.HunterAuthored.logical_ground_necessary_existence
#print axioms NetworkSources.Source59.HunterAuthored.logical_ground_necessary_existence
#print axioms NetworkSources.Source59.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source60.HunterAuthored.inference_2
#print axioms NetworkSources.Source61.HunterAuthored.inference_1
#print axioms NetworkSources.Source61.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source62.HunterAuthored.inference_1
#print axioms NetworkSources.Source63.HunterAuthored.inference_1
#print axioms NetworkSources.Source63.HunterAuthored.inference_4
#print axioms NetworkSources.Source64.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source65.HunterAuthored.inference_1
#print axioms NetworkSources.Source66.HunterAuthored.inference_1
#print axioms NetworkSources.Source67.HunterAuthored.inference_1
#print axioms NetworkSources.Source68.HunterAuthored.inference_1
#print axioms NetworkSources.Source68.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source69.HunterAuthored.inference_1
#print axioms NetworkSources.Source70.HunterAuthored.inference_1
#print axioms NetworkSources.Source71.HunterAuthored.inference_1
#print axioms NetworkSources.Source72.HunterAuthored.inference_1
#print axioms NetworkSources.Source73.HunterAuthored.inference_1
#print axioms NetworkSources.Source73.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source74.HunterAuthored.inference_1
#print axioms NetworkSources.Source75.HunterAuthored.inference_1
#print axioms NetworkSources.Source76.HunterAuthored.inference_2
#print axioms NetworkSources.Source76.HunterAuthored.inference_4
#print axioms NetworkSources.Source76.HunterAuthored.inference_5
#print axioms NetworkSources.Source76.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source77.HunterAuthored.inference_1
#print axioms NetworkSources.Source78.HunterAuthored.g6_assignment_enforcement
#print axioms NetworkSources.Source79.HunterAuthored.g6_assignment_enforcement
#print axioms NetworkSources.Source80.HunterAuthored.inference_1
#print axioms NetworkSources.Source81.HunterAuthored.inference_1
#print axioms NetworkSources.Source82.HunterAuthored.inference_1
#print axioms NetworkSources.Source83.HunterAuthored.inference_1
#print axioms NetworkSources.Source83.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source84.HunterAuthored.inference_1
#print axioms NetworkSources.Source85.HunterAuthored.inference_1
#print axioms NetworkSources.Source86.HunterAuthored.inference_1
#print axioms NetworkSources.Source87.HunterAuthored.inference_1
#print axioms NetworkSources.Source87.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source88.HunterAuthored.inference_1
#print axioms NetworkSources.Source88.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source89.HunterAuthored.inference_1
#print axioms NetworkSources.Source90.HunterAuthored.inference_1
#print axioms NetworkSources.Source91.HunterAuthored.inference_1
#print axioms NetworkSources.Source92.HunterAuthored.inference_1
#print axioms NetworkSources.Source93.HunterAuthored.inference_1
#print axioms NetworkSources.Source94.HunterAuthored.inference_1
#print axioms NetworkSources.Source95.HunterAuthored.inference_1
#print axioms NetworkSources.Source96.HunterAuthored.inference_1
#print axioms NetworkSources.Source97.HunterAuthored.inference_1
#print axioms NetworkSources.Source98.HunterAuthored.inference_1
#print axioms NetworkSources.Source99.HunterAuthored.inference_2
#print axioms NetworkSources.Source100.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source101.HunterAuthored.inference_1
#print axioms NetworkSources.Source101.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source102.HunterAuthored.inference_1
#print axioms NetworkSources.Source103.HunterAuthored.inference_1
#print axioms NetworkSources.Source103.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source104.HunterAuthored.inference_1
#print axioms NetworkSources.Source105.HunterAuthored.inference_1
#print axioms NetworkSources.Source105.HunterAuthored.inference_2
#print axioms NetworkSources.Source105.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source106.HunterAuthored.inference_1
#print axioms NetworkSources.Source107.HunterAuthored.inference_1
#print axioms NetworkSources.Source108.HunterAuthored.inference_1
#print axioms NetworkSources.Source108.HunterAuthored.inference_2
#print axioms NetworkSources.Source108.HunterAuthored.inference_3
#print axioms NetworkSources.Source108.HunterAuthored.inference_4
#print axioms NetworkSources.Source108.HunterAuthored.inference_5
#print axioms NetworkSources.Source108.HunterAuthored.inference_6
#print axioms NetworkSources.Source108.HunterAuthored.inference_7
#print axioms NetworkSources.Source108.HunterAuthored.inference_8
#print axioms NetworkSources.Source109.HunterAuthored.inference_1
#print axioms NetworkSources.Source109.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source110.HunterAuthored.inference_1
#print axioms NetworkSources.Source110.HunterAuthored.inference_2
#print axioms NetworkSources.Source111.HunterAuthored.inference_1
#print axioms NetworkSources.Source112.HunterAuthored.inference_1
#print axioms NetworkSources.Source113.HunterAuthored.inference_1
#print axioms NetworkSources.Source114.HunterAuthored.inference_1
#print axioms NetworkSources.Source115.HunterAuthored.inference_1
#print axioms NetworkSources.Source116.HunterAuthored.inference_1
#print axioms NetworkSources.Source116.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source117.HunterAuthored.inference_1
#print axioms NetworkSources.Source118.HunterAuthored.inference_1
#print axioms NetworkSources.Source118.HunterAuthored.inference_2
#print axioms NetworkSources.Source119.HunterAuthored.inference_1
#print axioms NetworkSources.Source120.HunterAuthored.inference_1
#print axioms NetworkSources.Source120.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source121.HunterAuthored.inference_1
#print axioms NetworkSources.Source122.HunterAuthored.inference_1
#print axioms NetworkSources.Source123.HunterAuthored.inference_1
#print axioms NetworkSources.Source123.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source124.HunterAuthored.inference_1
#print axioms NetworkSources.Source125.HunterAuthored.inference_1
#print axioms NetworkSources.Source126.HunterAuthored.inference_1
#print axioms NetworkSources.Source126.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source127.HunterAuthored.inference_1
#print axioms NetworkSources.Source128.HunterAuthored.inference_1
#print axioms NetworkSources.Source129.HunterAuthored.inference_1
#print axioms NetworkSources.Source130.HunterAuthored.inference_1
#print axioms NetworkSources.Source131.HunterAuthored.inference_1
#print axioms NetworkSources.Source132.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source133.HunterAuthored.inference_1
#print axioms NetworkSources.Source134.HunterAuthored.inference_1
#print axioms NetworkSources.Source135.HunterAuthored.inference_1
#print axioms NetworkSources.Source136.HunterAuthored.inference_1
#print axioms NetworkSources.Source137.HunterAuthored.inference_1
#print axioms NetworkSources.Source137.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source138.HunterAuthored.inference_1
#print axioms NetworkSources.Source138.HunterAuthored.inference_2
#print axioms NetworkSources.Source138.HunterAuthored.inference_3
#print axioms NetworkSources.Source138.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source139.HunterAuthored.inference_1
#print axioms NetworkSources.Source140.HunterAuthored.inference_1
#print axioms NetworkSources.Source140.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source141.HunterAuthored.inference_1
#print axioms NetworkSources.Source141.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source142.HunterAuthored.inference_1
#print axioms NetworkSources.Source142.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source143.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source144.HunterAuthored.inference_2
#print axioms NetworkSources.Source144.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source145.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source146.HunterAuthored.inference_1
#print axioms NetworkSources.Source147.HunterAuthored.inference_1
#print axioms NetworkSources.Source148.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source149.HunterAuthored.inference_1
#print axioms NetworkSources.Source150.HunterAuthored.inference_1
#print axioms NetworkSources.Source151.HunterAuthored.inference_1
#print axioms NetworkSources.Source152.HunterAuthored.inference_1
#print axioms NetworkSources.Source153.HunterAuthored.inference_1
#print axioms NetworkSources.Source154.HunterAuthored.inference_1
#print axioms NetworkSources.Source154.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source155.HunterAuthored.inference_1
#print axioms NetworkSources.Source156.HunterAuthored.inference_1
#print axioms NetworkSources.Source157.HunterAuthored.inference_1
#print axioms NetworkSources.Source157.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source158.HunterAuthored.inference_1
#print axioms NetworkSources.Source159.HunterAuthored.inference_1
#print axioms NetworkSources.Source159.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source160.HunterAuthored.inference_1
#print axioms NetworkSources.Source161.HunterAuthored.inference_1
#print axioms NetworkSources.Source161.HunterAuthored.inference_2
#print axioms NetworkSources.Source161.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source162.HunterAuthored.inference_1
#print axioms NetworkSources.Source163.HunterAuthored.inference_1
#print axioms NetworkSources.Source164.HunterAuthored.inference_1
#print axioms NetworkSources.Source165.HunterAuthored.inference_1
#print axioms NetworkSources.Source166.HunterAuthored.inference_1
#print axioms NetworkSources.Source167.HunterAuthored.inference_1
#print axioms NetworkSources.Source168.HunterAuthored.inference_1
#print axioms NetworkSources.Source169.HunterAuthored.inference_1
#print axioms NetworkSources.Source169.HunterAuthored.inference_2
#print axioms NetworkSources.Source170.HunterAuthored.inference_1
#print axioms NetworkSources.Source171.HunterAuthored.inference_1
#print axioms NetworkSources.Source172.HunterAuthored.inference_1
#print axioms NetworkSources.Source173.HunterAuthored.inference_1
#print axioms NetworkSources.Source174.HunterAuthored.inference_1
#print axioms NetworkSources.Source175.HunterAuthored.inference_1
#print axioms NetworkSources.Source176.HunterAuthored.fuel_iteration_bound
#print axioms NetworkSources.Source177.HunterAuthored.fuel_iteration_bound
#print axioms NetworkSources.Source178.HunterAuthored.inference_1
#print axioms NetworkSources.Source178.HunterAuthored.inference_2
#print axioms NetworkSources.Source179.HunterAuthored.inference_1
#print axioms NetworkSources.Source180.HunterAuthored.inference_1
#print axioms NetworkSources.Source180.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source181.HunterAuthored.inference_1
#print axioms NetworkSources.Source182.HunterAuthored.inference_1
#print axioms NetworkSources.Source183.HunterAuthored.integer_parity_range
#print axioms NetworkSources.Source184.HunterAuthored.integer_parity_range
#print axioms NetworkSources.Source185.HunterAuthored.inference_1
#print axioms NetworkSources.Source186.HunterAuthored.signed_state_exclusivity
#print axioms NetworkSources.Source187.HunterAuthored.signed_state_exclusivity
#print axioms NetworkSources.Source188.HunterAuthored.inference_1
#print axioms NetworkSources.Source189.HunterAuthored.inference_1
#print axioms NetworkSources.Source190.HunterAuthored.inference_1
#print axioms NetworkSources.Source191.HunterAuthored.inference_1
#print axioms NetworkSources.Source192.HunterAuthored.inference_1
#print axioms NetworkSources.Source193.HunterAuthored.inference_1
#print axioms NetworkSources.Source193.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source194.HunterAuthored.inference_1
#print axioms NetworkSources.Source195.HunterAuthored.inference_1
#print axioms NetworkSources.Source195.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source196.HunterAuthored.inference_1
#print axioms NetworkSources.Source197.HunterAuthored.inference_1
#print axioms NetworkSources.Source197.HunterAuthored.inference_2
#print axioms NetworkSources.Source197.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source198.HunterAuthored.inference_1
#print axioms NetworkSources.Source198.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source199.HunterAuthored.inference_1
#print axioms NetworkSources.Source199.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source200.HunterAuthored.inference_1
#print axioms NetworkSources.Source200.HunterAuthored.inference_2
#print axioms NetworkSources.Source200.HunterAuthored.inference_3
#print axioms NetworkSources.Source200.HunterAuthored.inference_4
#print axioms NetworkSources.Source200.HunterAuthored.inference_5
#print axioms NetworkSources.Source200.HunterAuthored.inference_6
#print axioms NetworkSources.Source200.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source201.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source202.HunterAuthored.inference_1
#print axioms NetworkSources.Source203.HunterAuthored.inference_1
#print axioms NetworkSources.Source203.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source204.HunterAuthored.inference_1
#print axioms NetworkSources.Source205.HunterAuthored.negation_value_involution
#print axioms NetworkSources.Source206.HunterAuthored.negation_value_involution
#print axioms NetworkSources.Source207.HunterAuthored.inference_1
#print axioms NetworkSources.Source208.HunterAuthored.inference_1
#print axioms NetworkSources.Source209.HunterAuthored.inference_1
#print axioms NetworkSources.Source210.HunterAuthored.inference_1
#print axioms NetworkSources.Source211.HunterAuthored.inference_1
#print axioms NetworkSources.Source211.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source212.HunterAuthored.inference_1
#print axioms NetworkSources.Source212.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source213.HunterAuthored.inference_1
#print axioms NetworkSources.Source214.HunterAuthored.inference_1
#print axioms NetworkSources.Source215.HunterAuthored.distinct_magnitude_or_commutative
#print axioms NetworkSources.Source216.HunterAuthored.distinct_magnitude_or_commutative
#print axioms NetworkSources.Source217.HunterAuthored.inference_1
#print axioms NetworkSources.Source218.HunterAuthored.inference_1
#print axioms NetworkSources.Source219.HunterAuthored.inference_1
#print axioms NetworkSources.Source220.HunterAuthored.inference_2
#print axioms NetworkSources.Source220.HunterAuthored.inference_3
#print axioms NetworkSources.Source220.HunterAuthored.inference_4
#print axioms NetworkSources.Source220.HunterAuthored.inference_5
#print axioms NetworkSources.Source220.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source221.HunterAuthored.inference_2
#print axioms NetworkSources.Source221.HunterAuthored.inference_3
#print axioms NetworkSources.Source221.HunterAuthored.inference_4
#print axioms NetworkSources.Source221.HunterAuthored.inference_5
#print axioms NetworkSources.Source221.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source222.HunterAuthored.inference_1
#print axioms NetworkSources.Source223.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source224.HunterAuthored.inference_1
#print axioms NetworkSources.Source225.HunterAuthored.inference_1
#print axioms NetworkSources.Source225.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source226.HunterAuthored.inference_1
#print axioms NetworkSources.Source227.HunterAuthored.inference_1
#print axioms NetworkSources.Source227.HunterAuthored.inference_2
#print axioms NetworkSources.Source228.HunterAuthored.inference_1
#print axioms NetworkSources.Source228.HunterAuthored.inference_2
#print axioms NetworkSources.Source229.HunterAuthored.inference_1
#print axioms NetworkSources.Source229.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source230.HunterAuthored.inference_1
#print axioms NetworkSources.Source230.HunterAuthored.inference_2
#print axioms NetworkSources.Source231.HunterAuthored.inference_1
#print axioms NetworkSources.Source231.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source232.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source233.HunterAuthored.inference_1
#print axioms NetworkSources.Source234.HunterAuthored.inference_1
#print axioms NetworkSources.Source234.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source235.HunterAuthored.inference_1
#print axioms NetworkSources.Source236.HunterAuthored.inference_1
#print axioms NetworkSources.Source237.HunterAuthored.inference_1
#print axioms NetworkSources.Source237.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source238.HunterAuthored.inference_1
#print axioms NetworkSources.Source239.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source240.HunterAuthored.inference_1
#print axioms NetworkSources.Source241.HunterAuthored.inference_1
#print axioms NetworkSources.Source242.HunterAuthored.inference_1
#print axioms NetworkSources.Source243.HunterAuthored.inference_1
#print axioms NetworkSources.Source243.HunterAuthored.inference_2
#print axioms NetworkSources.Source244.HunterAuthored.inference_1
#print axioms NetworkSources.Source245.HunterAuthored.inference_1
#print axioms NetworkSources.Source245.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source246.HunterAuthored.inference_1
#print axioms NetworkSources.Source246.HunterAuthored.inference_2
#print axioms NetworkSources.Source246.HunterAuthored.inference_3
#print axioms NetworkSources.Source246.HunterAuthored.inference_4
#print axioms NetworkSources.Source246.HunterAuthored.inference_5
#print axioms NetworkSources.Source247.HunterAuthored.inference_1
#print axioms NetworkSources.Source248.HunterAuthored.inference_1
#print axioms NetworkSources.Source248.HunterAuthored.inference_2
#print axioms NetworkSources.Source248.HunterAuthored.inference_3
#print axioms NetworkSources.Source248.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source249.HunterAuthored.inference_1
#print axioms NetworkSources.Source250.HunterAuthored.inference_1
#print axioms NetworkSources.Source250.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source251.HunterAuthored.inference_1
#print axioms NetworkSources.Source252.HunterAuthored.inference_1
#print axioms NetworkSources.Source253.HunterAuthored.inference_1
#print axioms NetworkSources.Source254.HunterAuthored.inference_1
#print axioms NetworkSources.Source255.HunterAuthored.inference_1
#print axioms NetworkSources.Source256.HunterAuthored.inference_1
#print axioms NetworkSources.Source257.HunterAuthored.inference_1
#print axioms NetworkSources.Source258.HunterAuthored.inference_1
#print axioms NetworkSources.Source258.HunterAuthored.inference_2
#print axioms NetworkSources.Source258.HunterAuthored.inference_3
#print axioms NetworkSources.Source259.HunterAuthored.inference_1
#print axioms NetworkSources.Source260.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source261.HunterAuthored.inference_1
#print axioms NetworkSources.Source262.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source263.HunterAuthored.inference_1
#print axioms NetworkSources.Source263.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source264.HunterAuthored.inference_1
#print axioms NetworkSources.Source265.HunterAuthored.inference_1
#print axioms NetworkSources.Source265.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source266.HunterAuthored.inference_1
#print axioms NetworkSources.Source266.HunterAuthored.inference_2
#print axioms NetworkSources.Source266.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source267.HunterAuthored.valid_unit_seven_checks
#print axioms NetworkSources.Source267.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source268.HunterAuthored.valid_unit_seven_checks
#print axioms NetworkSources.Source268.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source269.HunterAuthored.generated_signature_invariants
#print axioms NetworkSources.Source270.HunterAuthored.generated_signature_invariants
#print axioms NetworkSources.Source271.HunterAuthored.inference_1
#print axioms NetworkSources.Source272.HunterAuthored.inference_1
#print axioms NetworkSources.Source273.HunterAuthored.inference_1
#print axioms NetworkSources.Source274.HunterAuthored.inference_1
#print axioms NetworkSources.Source275.HunterAuthored.inference_1
#print axioms NetworkSources.Source276.HunterAuthored.inference_1
#print axioms NetworkSources.Source277.HunterAuthored.inference_1
#print axioms NetworkSources.Source278.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source279.HunterAuthored.inference_1
#print axioms NetworkSources.Source279.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source280.HunterAuthored.inference_1
#print axioms NetworkSources.Source281.HunterAuthored.inference_1
#print axioms NetworkSources.Source282.HunterAuthored.inference_1
#print axioms NetworkSources.Source282.HunterAuthored.inference_2
#print axioms NetworkSources.Source282.HunterAuthored.inference_3
#print axioms NetworkSources.Source282.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source283.HunterAuthored.inference_1
#print axioms NetworkSources.Source284.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source285.HunterAuthored.inference_1
#print axioms NetworkSources.Source286.HunterAuthored.inference_1
#print axioms NetworkSources.Source287.HunterAuthored.inference_1
#print axioms NetworkSources.Source288.HunterAuthored.inference_1
#print axioms NetworkSources.Source289.HunterAuthored.inference_1
#print axioms NetworkSources.Source290.HunterAuthored.inference_1
#print axioms NetworkSources.Source291.HunterAuthored.inference_1
#print axioms NetworkSources.Source291.HunterAuthored.inference_2
#print axioms NetworkSources.Source291.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source292.HunterAuthored.inference_1
#print axioms NetworkSources.Source292.HunterAuthored.inference_2
#print axioms NetworkSources.Source292.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source293.HunterAuthored.inference_2
#print axioms NetworkSources.Source294.HunterAuthored.inference_1
#print axioms NetworkSources.Source295.HunterAuthored.inference_1
#print axioms NetworkSources.Source296.HunterAuthored.inference_1
#print axioms NetworkSources.Source296.HunterAuthored.inference_2
#print axioms NetworkSources.Source296.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source297.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source298.HunterAuthored.inference_1
#print axioms NetworkSources.Source299.HunterAuthored.inference_1
#print axioms NetworkSources.Source299.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source300.HunterAuthored.inference_1
#print axioms NetworkSources.Source301.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source302.HunterAuthored.inference_1
#print axioms NetworkSources.Source303.HunterAuthored.inference_1
#print axioms NetworkSources.Source304.HunterAuthored.inference_1
#print axioms NetworkSources.Source305.HunterAuthored.inference_1
#print axioms NetworkSources.Source306.HunterAuthored.inference_1
#print axioms NetworkSources.Source306.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source307.HunterAuthored.inference_1
#print axioms NetworkSources.Source308.HunterAuthored.inference_1
#print axioms NetworkSources.Source309.HunterAuthored.inference_1
#print axioms NetworkSources.Source309.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source310.HunterAuthored.inference_1
#print axioms NetworkSources.Source311.HunterAuthored.inference_1
#print axioms NetworkSources.Source312.HunterAuthored.inference_1
#print axioms NetworkSources.Source313.HunterAuthored.inference_1
#print axioms NetworkSources.Source314.HunterAuthored.inference_1
#print axioms NetworkSources.Source314.HunterAuthored.inference_2
#print axioms NetworkSources.Source314.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source315.HunterAuthored.inference_1
#print axioms NetworkSources.Source315.HunterAuthored.inference_2
#print axioms NetworkSources.Source316.HunterAuthored.inference_2
#print axioms NetworkSources.Source316.HunterAuthored.inference_4
#print axioms NetworkSources.Source316.HunterAuthored.inference_5
#print axioms NetworkSources.Source316.HunterAuthored.inference_7
#print axioms NetworkSources.Source316.HunterAuthored.inference_8
#print axioms NetworkSources.Source316.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source317.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source318.HunterAuthored.inference_2
#print axioms NetworkSources.Source318.HunterAuthored.inference_4
#print axioms NetworkSources.Source318.HunterAuthored.inference_5
#print axioms NetworkSources.Source318.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source319.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source320.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source321.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source322.HunterAuthored.inference_1
#print axioms NetworkSources.Source323.HunterAuthored.inference_1
#print axioms NetworkSources.Source324.HunterAuthored.inference_1
#print axioms NetworkSources.Source325.HunterAuthored.inference_1
#print axioms NetworkSources.Source326.HunterAuthored.inference_1
#print axioms NetworkSources.Source327.HunterAuthored.inference_1
#print axioms NetworkSources.Source328.HunterAuthored.inference_1
#print axioms NetworkSources.Source328.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source329.HunterAuthored.inference_1
#print axioms NetworkSources.Source329.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source330.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source331.HunterAuthored.inference_1
#print axioms NetworkSources.Source332.HunterAuthored.inference_1
#print axioms NetworkSources.Source333.HunterAuthored.inference_1
#print axioms NetworkSources.Source334.HunterAuthored.inference_1
#print axioms NetworkSources.Source335.HunterAuthored.inference_1
#print axioms NetworkSources.Source336.HunterAuthored.inference_1
#print axioms NetworkSources.Source337.HunterAuthored.inference_1
#print axioms NetworkSources.Source338.HunterAuthored.inference_1
#print axioms NetworkSources.Source338.HunterAuthored.inference_2
#print axioms NetworkSources.Source338.HunterAuthored.inference_3
#print axioms NetworkSources.Source339.HunterAuthored.inference_1
#print axioms NetworkSources.Source339.HunterAuthored.inference_2
#print axioms NetworkSources.Source340.HunterAuthored.inference_1
#print axioms NetworkSources.Source340.HunterAuthored.source_identity_rule
#print axioms NetworkSources.Source341.HunterAuthored.exponent_xor_self_positive
#print axioms NetworkSources.Source342.HunterAuthored.exponent_xor_self_positive
#print axioms NetworkSources.Source343.HunterAuthored.inference_1
#print axioms NetworkSources.Native.NativeMCBEvidence.mcb_code_and_data_same_type
#print axioms NetworkSources.Native.NativeMCBEvidence.mcb_unquote_quote
#print axioms NetworkSources.Native.NativeMCBEvidence.mcb_quote_unquote
#print axioms NetworkSources.Native.NativeMCBEvidence.mcb_phase_bivalence
#print axioms NetworkSources.Native.NativeMCBEvidence.mcb_even_phase
#print axioms NetworkSources.Native.NativeMCBEvidence.mcb_data_execution_agrees
#print axioms NetworkSources.Native.NativeMCBEvidence.mcb_code_data_transformation_agrees
#print axioms NetworkSources.Native.NativeMCBEvidence.mcb_self_summation
#print axioms NetworkSources.Native.NativeMCBEvidence.mcb_normalization_preserves_meaning
#print axioms NetworkSources.Native.NativeMCBEvidence.mcb_normalization_idempotent
#print axioms NetworkSources.Native.NativeMCBEvidence.mcb_single_value
#print axioms NetworkSources.Native.NativeMCBEvidence.mcb_reason_noncontradiction
#print axioms NetworkSources.Native.NativeMCBEvidence.mcb_init_has_exact_phase_data
#print axioms NetworkSources.Native.NativeMCBEvidence.init_program_achieves_perfect_stasis
#print axioms NetworkSources.Native.NativeMCBEvidence.mcb_init_is_single_balance
#print axioms NetworkSources.Native.NativeMCBEvidence.mcb_init_outer_phase
#print axioms NetworkSources.Native.NativeMCBEvidence.mcb_complete_init_is_single_positive_state
#print axioms NetworkSources.Native.NativeMCBEvidence.mcb_init_literal_is_exact
#print axioms NetworkSources.Native.NativeMCBEvidence.mcb_compiled_literal_self_identity
#print axioms NetworkSources.Native.NativeMCBEvidence.mcb_balance_zero_is_not_fixed_ground
#print axioms NetworkSources.Native.NativeMCBEvidence.nand_signed_truth_table
#print axioms NetworkSources.Native.NativeMCBEvidence.single_root_preserves_conjunction
#print axioms NetworkSources.Native.NativeMCBEvidence.fixed_ground_encoding
#print axioms NetworkSources.Native.NativeMCBEvidence.negative_runtime_encoding
#print axioms NetworkSources.Native.NativeMCBEvidence.runtime_roundtrip
#print axioms HunterProofNetwork.certified_member
#print axioms HunterProofNetwork.whole_network_conjunction
#print axioms HunterProofNetwork.whole_network_certificate
#print axioms HunterProofNetwork.every_network_node_is_proved
#print axioms HunterProofNetwork.false_is_not_a_network_node
#print axioms HunterProofNetwork.network_has_no_contradictory_member
#print axioms HunterProofNetwork.complete_network_not_false
#print axioms HunterProofNetwork.scoped_implication_composition
#print axioms HunterProofNetwork.scoped_many_conclusion_fork
#print axioms HunterProofNetwork.independent_context_union
#print axioms HunterProofNetwork.equivalent_context_transport
#print axioms HunterProofNetwork.higher_order_path_composition