Lean verification registry · Authored proofs · The Logos Architecture
Written formal sequents verified
Axiom-free: true · 2 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: 2026-10-02T16:20:16.589Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:41:54.456Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.
Authored source SHA-256: 21470014aecf24939393bd5d205181b4e58e5313c692e5a8a18a8717918e15b0
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 'HunterAuthored.source_identity_rule' 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.
A is A
The explicitly named Identity rule, over every type and element. The remaining prose is not replaced by this witness.
Tautological True Statements & Convincing Deductive Reasoning by Maclain Hunter:
Premises:
P: There’s a difference between saying:
1. “Logic is God BECAUSE (with the finite reasoning that shows this is true logically being only) Logic is God”.
OR
2. “Necessarily Logic is God, as a matter of necessary coherence between First Cause and Reason ERGO (|=) Logic is God”.
Q: Even stating simply “Logic is God because Logic is God”, while lacking finite reasoning to convince skeptics, gains Rational Support (Reason) from its A is A (or A because A) form, as God/Logic (the Logos) is what it is because it needs to be what it is. A statement like this that lacks finite reasoning but is supported by tautological Reason is valid (in this sort of case) since it’s coherent, true, and balanced (fitting the logical form of Identity).
R: To acknowledge Logic as the Ultimate Entity (God - Supreme - Ruler - King) is logically necessary, even if Reason does not violently or arbitrarily enforce this Law. It is necessary to acknowledge for true and full coherence with Reason, as you are not truly coherent with Reason as Reason is in Reality if you are unable to bring yourself to acknowledge Logic as God - as I must and do (making me a reliable logician compared to the alternative sort that doesn’t, by God).
S: Assume the negation of P, Q, R, and S. That leads to the absurdity of true premises being false premises and true statements being said to be false just because an arbitrary amount of extra reasoning is said to be required - even while the statements acknowledge Logic is God while displaying the very A is A form of the Logos (God - Logic). This cannot be, and since that cannot be, it also cannot be logically that this premise S and the proof from the negation are false and not true. This premise is necessarily true, sealing the Truth of the whole proof (you will find when you consistently apply logically consistent Universal Logic and logical rules instead of rigid, nuance lacking forms of fallacy matching like saying this is circular reasoning so it has to be invalid). This is valid self-reference. There is a world of difference between this kind of tautology and that alleged fallaciousness.
Logical Proof:
{P, P <-> Q, Q <-> R, R <-> S} |= (P & Q) & (R & S)
Conclusion: {P, Q, R, S}:
Logic is God so Logic is God, face Logic, as this is the very “face” (tautological form and Essence) of Logic, that Logic is God so Logic is God.
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.