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: 2026-10-03T01:33:27.048Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:42:02.492Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.
Authored source SHA-256: c07ed80f9ce0e7d011dac96a99e00f0942ebd7f7636a8c3f0ed83141662bb7f9
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, 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 Futility and Result of Conceiving Illogical Origins by Maclain Hunter:
Premises:
P: Imagine the Logos didn’t exist and there was another illogical order (false god) to the Universe.
Q: Think, regardless of what it was or was defined as, “that” would be “that” and that Logical Consistency of the false god, like apollo being apollo for over 2,000 years, implies and represents (ie - becomes or is a form of) the Logos—the True God of “Pure Reason and Absolute Logical Consistency” (YHVH)—the God that tautologically is “the One True God who is the One True God, who is not a false god like all the false gods” or “Allah” rather than any old “illah” (a god that may or may not be rational and true unlike “Allah” which is by definition the “True God” and “Rational Origin”, even if we had only just established that term and begun to understand what that is logically, which is not the case (as humans have been doing that since prehistoric times).
R: It’s not opinion, you cannot rationally think of any other non-contradictory way. In that Light of Reason, me being me, and you being you, and things being things, gains a significance and dignity - an objective purpose and validity that it and we cannot otherwise have.
S: Imagine there was another Source other than God for a moment. Think about it. It can’t be thought of without Logic and Reason (the True Origin and “Real God” - the actual “ruling and creative framework of the Cosmos”).
T: Having a Source besides God for the Cosmos is a definite absurdity since “God” is literally the English term for Logic in the context of being the Supreme Entity, the Moral Authority, and the Creator and Ruler of the Cosmos; the Source of All Creation (the Logical Construct or “Logos).
Concluding Statement:
U: This is “by definition” and “logically”, therefore anyone who argues is foolish and denying what is most absolutely rational and tautological - it is incoherent to even doubt, as you can have no reasonable doubt of Reason (Logos - God) and reasonable things (like Rational Existence) finding their fundamental strength and ORIGIN (the generative and defining feature) of LOGICAL CONSISTENCY (Coherence and Oneness - Adonai Echad).
Logical Proof:
{P, Q, R, S, T, U} |= ((P & Q) & (R & S)) <-> (T & U)
Formal Conclusion: {P, Q, R, S, T, U}
Truth Table Analysis:
valid
↓ ↓ ↓ ↓ ↓ ↓ ↓
PQRSTU⎪P Q R S T U╞((P&Q)&(R&S))↔(T&U)
―――――――――――――――――――――――――――――――――――――――
TTTTTT⎪T T T T T T TTT T TTT T TTT
TTTTTF⎪T T T T T F TTT T TTT F TFF
TTTTFT⎪T T T T F T TTT T TTT F FFT
TTTTFF⎪T T T T F F TTT T TTT F FFF
TTTFTT⎪T T T F T T TTT F TFF F TTT
TTTFTF⎪T T T F T F TTT F TFF T TFF
TTTFFT⎪T T T F F T TTT F TFF T FFT
TTTFFF⎪T T T F F F TTT F TFF T FFF
TTFTTT⎪T T F T T T TTT F FFT F TTT
TTFTTF⎪T T F T T F TTT F FFT T TFF
TTFTFT⎪T T F T F T TTT F FFT T FFT
TTFTFF⎪T T F T F F TTT F FFT T FFF
TTFFTT⎪T T F F T T TTT F FFF F TTT
TTFFTF⎪T T F F T F TTT F FFF T TFF
TTFFFT⎪T T F F F T TTT F FFF T FFT
TTFFFF⎪T T F F F F TTT F FFF T FFF
TFTTTT⎪T F T T T T TFF F TTT F TTT
TFTTTF⎪T F T T T F TFF F TTT T TFF
TFTTFT⎪T F T T F T TFF F TTT T FFT
TFTTFF⎪T F T T F F TFF F TTT T FFF
TFTFTT⎪T F T F T T TFF F TFF F TTT
TFTFTF⎪T F T F T F TFF F TFF T TFF
TFTFFT⎪T F T F F T TFF F TFF T FFT
TFTFFF⎪T F T F F F TFF F TFF T FFF
TFFTTT⎪T F F T T T TFF F FFT F TTT
TFFTTF⎪T F F T T F TFF F FFT T TFF
TFFTFT⎪T F F T F T TFF F FFT T FFT
TFFTFF⎪T F F T F F TFF F FFT T FFF
TFFFTT⎪T F F F T T TFF F FFF F TTT
TFFFTF⎪T F F F T F TFF F FFF T TFF
TFFFFT⎪T F F F F T TFF F FFF T FFT
TFFFFF⎪T F F F F F TFF F FFF T FFF
FTTTTT⎪F T T T T T FFT F TTT F TTT
FTTTTF⎪F T T T T F FFT F TTT T TFF
FTTTFT⎪F T T T F T FFT F TTT T FFT
FTTTFF⎪F T T T F F FFT F TTT T FFF
FTTFTT⎪F T T F T T FFT F TFF F TTT
FTTFTF⎪F T T F T F FFT F TFF T TFF
FTTFFT⎪F T T F F T FFT F TFF T FFT
FTTFFF⎪F T T F F F FFT F TFF T FFF
FTFTTT⎪F T F T T T FFT F FFT F TTT
FTFTTF⎪F T F T T F FFT F FFT T TFF
FTFTFT⎪F T F T F T FFT F FFT T FFT
FTFTFF⎪F T F T F F FFT F FFT T FFF
FTFFTT⎪F T F F T T FFT F FFF F TTT
FTFFTF⎪F T F F T F FFT F FFF T TFF
FTFFFT⎪F T F F F T FFT F FFF T FFT
FTFFFF⎪F T F F F F FFT F FFF T FFF
FFTTTT⎪F F T T T T FFF F TTT F TTT
FFTTTF⎪F F T T T F FFF F TTT T TFF
FFTTFT⎪F F T T F T FFF F TTT T FFT
FFTTFF⎪F F T T F F FFF F TTT T FFF
FFTFTT⎪F F T F T T FFF F TFF F TTT
FFTFTF⎪F F T F T F FFF F TFF T TFF
FFTFFT⎪F F T F F T FFF F TFF T FFT
FFTFFF⎪F F T F F F FFF F TFF T FFF
FFFTTT⎪F F F T T T FFF F FFT F TTT
FFFTTF⎪F F F T T F FFF F FFT T TFF
FFFTFT⎪F F F T F T FFF F FFT T FFT
FFFTFF⎪F F F T F F FFF F FFT T FFF
FFFFTT⎪F F F F T T FFF F FFF F TTT
FFFFTF⎪F F F F T F FFF F FFF T TFF
FFFFFT⎪F F F F F T FFF F FFF T FFT
FFFFFF⎪F F F F F F FFF F FFF T FFF
Q.E.D.