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: 2026-10-03T01:36:33.621Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:39:12.074Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.
Authored source SHA-256: 8a22f24936c8d59bfc4578a2e183e0c77b679dcfb534837448fdc997438718e8
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} |= (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.
P: If Logic and “Logical Structure” were not coherent and integrated/identical then logical contradiction would arise.
Q: Logical Coherence (Logic - Logical Structure) is precisely what makes evidence and/or proof meaningful. Without Logical Structure, empirical evidence wouldn’t even be interpretable.
R: Absent Logic, “logical proofs” existing would be a contradiction (as their Source in Logic would be nonexistent).
S: All proof and evidence - empirical, logical, or otherwise - is inherently tied to Logic and proves Logic is the “Coherent Foundation” of all logical structures including the largest scale Logical Structure (Reality - Existence). The proof this premise is a premise in, even if “invalid” (which could only be the case if Logic/Logos does exist, and if the Logical Standard (Logic) is not absent), proves that Logic (Logos) is extant and real.
Formal Argument (Logical Proof):
{P, Q, R, S} |= (P & Q) & (R & S)
Conclusion:
Logic is the Source and Standard of all proof and evidence - the thing that makes proof and evidence meaningful and objective. Absent Logos (the Origin of Reason and Foundation of Logical Existence) there would be no such thing as proof or evidence. Therefore all proof and evidence that exists, even this proof, and even if this proof were somehow “invalid” (which could only be the case if Logos does in fact exist as the Origin of Reality and Evidence), proves the Logos and Logic are the Reality (the Logical Structure of Existence and the Origin of Proof).