Lean verification registry · Authored proofs · The Logos Architecture
Written formal sequents verified
Axiom-free: true · 1 checked theorem statements.
Lean establishes the listed formal statements and dependencies. The exact authored source, Ground, known premise meanings, application validation and empirical evidence remain separately typed. No unencoded section is certified by a neighboring theorem.
Original source author: Maclain Hunter. Machine formalization: Replit Agent. No original wording was rewritten.
Source registered: 2026-10-03T01:30:23.323Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:42:15.011Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.
Authored source SHA-256: bbb36838fd4c5d9742971debabe08b8b4b94f7c66221ee0eda429bac04ec0910
Lean source · Verification JSON · Exact archived source JSON · Compiler report · Current authored source page · Signed release and verification instructions
Lean (version 4.7.0, commit v4.7.0, Release) exitCode=0 'HunterAuthored.inference_1' does not depend on any axioms
{P, P → Q, Q → R, R → S, S → T, T → U, U → P, ~(~P & ~Q & ~R & ~S & ~T & ~U)} |= ((P & Q) & (R & S) & T) & U
Exact source sequent under finite two-valued propositional semantics. Source proposition meanings and Logic/Logos/God Ground are preserved separately; this checks the inference, not unencoded prose.
THE LOGIC OF THE UNIVERSE (LOGOS) AS THE LOGICAL ORIGIN (GOD) ACCORDING TO LOGIC:
Axiom of Logic: Logic is not logically refutable and logical arguments MUST align with True Logic - which is a completely logically consistent (universal) Logic known as the Logos (Pure Reason).
PREMISES:
P: The immanent and self-evident ABSOLUTE TRUTH (coherent with and synonymous with the Logic of the Universe or “God”) is INHERENTLY LOGICAL.
Q: Well-formed formal logical proofs are self-evident truths, as LOGIC is as the ultimate self-evident Truth/Logic also called “God” or “LOGOS” (Pure Reason).
R: The existence of the self-consistent and complete “Set of Logical Truths” is logically necessary, and is evidenced by the existence/confirmation of any truths or falsehoods (anything with a logically determined/determinable truth value). That Ultimate Set of Truths is synonymous with REALITY, Truth, and GOD.
S: The ABSOLUTE TRUTH (Universal Logic - the Natural Order - God) is the self-evident (tautological) and complete/dynamic Reality and its NATIVE LOGIC - the Logical Framework of the Real World, also called GOD in Classical Philosophy and Theology.
T: The UNIVERSAL LOGIC (Logos - the God of Reason) exists INDEPENDENTLY of human beliefs and opinions, and furthermore is evident in all subjectivity and contingent being/life/thought. No thought could occur without REASON (Logos).
U: The NATURAL ORDER (Universal Logic - Absolute Truth) is the self-evident LOGICAL ORIGIN (True God - the SOURCE and Sustainer of the Universe) that underlies REALITY and all aspects of EXISTENCE (including human existence and inquiry).
FORMAL ARGUMENT (PROOF):
{P, P → Q, Q → R, R → S, S → T, T → U, U → P, ~(~P & ~Q & ~R & ~S & ~T & ~U)} |= ((P & Q) & (R & S) & T) & U
Assuming the NEGATION of the conclusion: ~(U & T & R & S & Q & P), we derive a contradiction from the premises.
CONCLUSION:
Thus, the conclusion is shown to follow from the premises by contradiction. We can conclude that the UNIVERSAL LOGIC is God and is the self-evident ORIGIN of Truth, and Complete Logic/Truth, that underlies Reality. That LOGIC (Logos) exists independently of human beliefs and opinions, and that is established by REASON itself, while being formally affirmed (in logically coherent and irrefutable fashion) by this is well-formed formal logical proof. LOGIC is the proven (and primarily/additionally self-evident) LOGICAL ORIGIN (the 100% Coherent SOURCE of Logic and Existence) and therefore GOD - the Universe’s Origin by definition (OED) - according to LOGIC itself, not merely a human’s own opinion. The Universal Axiom of Logic means no argument stands against Reason as the God (Origin and Ruler) of REASON and the First Cause of Logic and Existence.
QED