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: 2026-10-02T23:10:06.162Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:38:06.748Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.
Authored source SHA-256: 51405d6ea3d3bb5365b0743d0cc94c06db86a714311f14e3081ff3f09ccd3d30
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, Q, R <-> (P & Q)} |= (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.
P: Logic is Logic and the empirical must be coherent to be valid.
Q: Formal logical proof can be empirically observed (ie - read/analyzed with logical rules like the LNC).
R: Assume the negation of P and Q. ~(P & Q) leads to absurdity.
{P, Q, R <-> (P & Q)} |= (P & Q) & R