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: 2026-10-03T01:29:53.136Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:39:00.351Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.
Authored source SHA-256: b2c28ccc525fe9f38003326e0677bf3c376d052e12dba7b1fddcc7678263472d
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 -> P, (P -> P) -> ~(Q -> P), P -> R} |= (P & ~Q) & R
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 Logic
The explicitly named Identity rule, over every type and element. The remaining prose is not replaced by this witness.
Irrelevant Acceptance by Maclain Hunter
Premises:
P: Logic is Logic by Logic and the Law of Identity coherent with Logic and Logos (Logic’s self-grounding; Logic based in Logic).
Q: The acceptance or denial of Logic as logically is by humans or contingent entities reasoning (ie - AI; computers; animals able to think logically) is required for Logic to be Logic. (Note: this is a false premise used in the negative sense formally. It is not intended or used as true.)
R: Acceptance of Logic and Logos as Logic and Logos are by Logic is part of being logically coherent, as Logic accepts Logic and Logos as Logic and Logos are (and not as they are not). This aligns well with Feynman’s “Integrity Principle” but disambiguates logically what it means to “not fool yourself”.
Proof:
{P, P -> P, (P -> P) -> ~(Q -> P), P -> R} |= (P & ~Q) & R
Conclusion: {P, ~Q, R}:
The conclusion we can draw from this includes that Logic is independent of contingent acceptance and that this applies to all of Logic including concepts of proof and premises, where alignment with Logic is what matters.
Logical validation of Logic, proof, and logical concepts cannot be a matter of imagining what every school of thought might try to say to justify ignoring Logic or denying premises they haven’t refuted but just “don’t accept”.
It is illogical to defer to contingent authorities or minds instead of going by Logic as Logic is logically.
The person who accepts Logic for what it is instead of trying to shape Logic and Reality with arbitrary denial/acceptance is set up to be much more coherent with Logic than the person who does not respect that Logic is self-made and self-defined, not to be twisted externally. Feynman’s insights align well.
This is effectively (though not necessarily exhausting) what P, not Q, and R say, grounded in Logic.
Truth Table Analysis:
TTT⎪T TTT TTT FF TTT TTT TFFT FT
TTF⎪T TTT TTT FF TTT TFF TFFT FF
TFT⎪T TTT TTT FF FTT TTT TTTF TT
TFF⎪T TTT TTT FF FTT TFF TTTF FF
FTT⎪F FTF FTF TT TFF FTT FFFT FT
FTF⎪F FTF FTF TT TFF FTF FFFT FF
FFT⎪F FTF FTF FF FTF FTT FFTF FT
FFF⎪F FTF FTF FF FTF FTF FFTF FF
(Valid)
QED