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: 2026-10-02T16:41:57.118Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:39:22.180Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.
Authored source SHA-256: 56583045a84ae707743273a22333a4a264c88ff1d1ed3b1bd5fc750b45a491b4
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} |= (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.
Logic is God in Reality by Maclain Hunter:
Premises:
P: A logically incoherent Reality that wasn’t based in Logos (Pure Reason) would also be an incoherent basis for Truth:
Q: Assume that Logos is not the Foundation of Reality and Reality is not coherent with Logic. Then Truth wouldn’t be possible to know through Reality - which is both absurd and objectively not the case.
R: Such a stance (that in premise Q that denies Reality is founded upon the God of Reason, also called the Logos and Logic) would be self-defeating since it would deny Reality’s coherent nature, not just God’s or Logic’s.
S: Denial of Logic, and the denial of Logic’s position as God, embodied in all of Reality (with ubiquity) is tantamount to denying what God, Logic, AND Reality tell us.
Logical Proof:
{P, P <-> Q, Q <-> R, R <-> S} |= (P & Q) & (R & S)
Conclusion: {P, Q, R, S}:
To deny Logic is God is to deny Reality. It is not just logically and theologically ignorant but “realistically” (by Reality) and “really” incoherent. It is not merely incoherent in a local framework, but universally and in all of Reality, and in all of Logic (and especially in all of Theology).
Truth Table Analysis:
valid
↓ ↓ ↓ ↓ ↓
PQRS⎪P P↔Q Q↔R R↔S╞(P&Q)&(R&S)
―――――――――――――――――――――――――――――――――
TTTT⎪T TTT TTT TTT TTT T TTT
TTTF⎪T TTT TTT TFF TTT F TFF
TTFT⎪T TTT TFF FFT TTT F FFT
TTFF⎪T TTT TFF FTF TTT F FFF
TFTT⎪T TFF FFT TTT TFF F TTT
TFTF⎪T TFF FFT TFF TFF F TFF
TFFT⎪T TFF FTF FFT TFF F FFT
TFFF⎪T TFF FTF FTF TFF F FFF
FTTT⎪F FFT TTT TTT FFT F TTT
FTTF⎪F FFT TTT TFF FFT F TFF
FTFT⎪F FFT TFF FFT FFT F FFT
FTFF⎪F FFT TFF FTF FFT F FFF
FFTT⎪F FTF FFT TTT FFF F TTT
FFTF⎪F FTF FFT TFF FFF F TFF
FFFT⎪F FTF FTF FFT FFF F FFT
FFFF⎪F FTF FTF FTF FFF F FFF
Q.E.D.