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: 2026-10-02T21:22:38.566Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:39:16.869Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.
Authored source SHA-256: 1f56ff1da794b031bcc37149af2414ee2bb7d411b548b28b8d1cba1c4ede4d34
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 as Reality’s Origin by Maclain Hunter
Premises:
P: The Ontological Foundation (called God or Theos in Theology and Philosophy) must be fully coherent with Logic to be fully valid and real logically, as the Ontological Ground must be to give proper logical basis to Reality.
Q: The ability to have knowledge of Reality through Logic, sciences, intuition, or otherwise itself suggests there is stable logical coherence between Reality, Reality’s Ground (the Ontological Ground), and Logic (the Epistemological Method).
R: The existence of Logic and logical reasoning (including this) proves that Logic, the Epistemological Ground), exists. By extension the Ontological Ground (Logic of Reality) coherent with the Epistemological Ground (Logic) also exists and is demonstrated by Logic and reasoning including this reasoning and the formal logic in this proof.
S: God is a term that comes from Gothic translations of the term “Theos” in the Gospels (New Testament), which understood in context is referencing a Theos (God) that is Logos (Logic - Universal Reason). The term is also not merely religious but philosophical and incorporated into the English language and authoritative English dictionaries like the OED (Oxford English Dictionary). This moves the term beyond mere religious contexts and shifting understandings to be a word that objectively refers to the Logos and Logic as the Foundation of Reality. Tautologically other proposed “gods” not aligned with Logic are not this God and do not satisfy the demand Logic sets out for Coherence (Unity with Logic) in valid theories and causes.
Formal Reasoning:
{P, P -> Q, Q -> R, R -> S} |= ((P & Q) & (R & S))
Conclusion: {P, Q, R, S}:
There is necessarily Coherence and common Logic (Logos) between the Epistemological Ground and the Ontological Ground, also called Logic and God in English and when words are used according to standard Oxford English Dictionary (OED) definitions. The rationally undeniable existence of Logic demonstrates the existence of God when and because, logically speaking, Logic is God.
To object would be nonsense since it would mean that either A) you are using Logic coherent with the Basis of Reality (God) and are denying what you are using, or B) you are denying based on using a logic that is incoherent with Reality and its Basis (God) which means it is unhinged logic without a consistent basis in Reality and Reality’s Basis (God). That makes objections to Logic as God self-refuting.
Truth Table Analysis:
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 FTT TTT F FFT
TTFF⎪T TTT TFF FTF TTT F FFF
TFTT⎪T TFF FTT TTT TFF F TTT
TFTF⎪T TFF FTT TFF TFF F TFF
TFFT⎪T TFF FTF FTT TFF F FFT
TFFF⎪T TFF FTF FTF TFF F FFF
FTTT⎪F FTT TTT TTT FFT F TTT
FTTF⎪F FTT TTT TFF FFT F TFF
FTFT⎪F FTT TFF FTT FFT F FFT
FTFF⎪F FTT TFF FTF FFT F FFF
FFTT⎪F FTF FTT TTT FFF F TTT
FFTF⎪F FTF FTT TFF FFF F TFF
FFFT⎪F FTF FTF FTT FFF F FFT
FFFF⎪F FTF FTF FTF FFF F FFF
(Valid)
Q.E.D.