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: 2026-10-03T01:36:17.063Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:38:55.480Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.
Authored source SHA-256: e1964227dd6675790c67d62efb1a7232d540ecfbd6e2977b44cf55fb68cd1626
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, R, R -> P, S, S -> P} |= (P & Q) & (R & S)
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.
Incoherent God <-> Incoherent Thought by Maclain Hunter:
Premises:
P: It is incoherent to think that Logic and the Origin of Reality are nonexistent and/or incoherent.
Q: Only acknowledging the coherent and necessary existence of Logic and the Origin of Reality is coherent when it comes to Logic and the Origin of Reality (God).
R: Assume for a moment that Logic is not God. That leads to contradiction because then the Origin of the Universe (God) and Reason (coherent Logic and Reason) would not be coherent with each other (and could not then both be coherent with Reality and thereby coherent/one with each other), as they must logically be (to be real, logical, rational, and not contradictory/impossible).
S: Assume P and Q are false for a moment. That leads to logical contradiction as it opens the door to incoherent logics and origins/gods and to there being “valid illogical notions of the Universe and its Origin” which defies Logic clearly.
Formal Argument (Proof):
{P, P -> Q, R, R -> P, S, S -> P} |= (P & Q) & (R & S)
Conclusion:
It is incoherent to suggest that the Origin of Existence (God) is incoherent (not Logic and not singular/one). The coherent Origin of Existence (True God) is and must be coherent/integrated with Logic, Reason, and Reality. That is proven by exploring the contradictions that arise when assuming the opposite, in addition to the coherence and validity of the positive proof that Logic being (fully coherent with) God—the Origin of Existence—is sound and not invalid.