-- 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.
import Lean
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
#print axioms inference_1

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

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
#print axioms inference_3

theorem source_identity_rule (α : Type) (a : α) : a = a := rfl
#print axioms source_identity_rule

end HunterAuthored