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: 2026-10-02T17:44:37.205Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:37:42.495Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.
Authored source SHA-256: a4ecaa002731dd17956817c2835b3e4dc01ae6f694a4f5ad3187b8f5577386af
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} |= P v ~P
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.
Certainty From Paradoxical Dichotomy by Maclain Hunter:
Premise:
P: God is Logic.
{P <-> P} |= P v ~P
Ergo: P v ~P: God is Logic or not Logic, but when God is not Logic that is fundamentally because of Logic and the way that God, as a premise or Universal Axiom, and Logic, as the Method of Reasoning and axiomatic Logical Structure, are logically interconnected and coherent (when coherent and valid).
Truth Table:
P⎪P↔P╞P∨¬P
T⎪TTT TTFT
F⎪FTF FTTF
Q.E.D.