Lean verification registry · Authored proofs · The Logos Architecture

Observable Formal Proof — Scientific-Test Version

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: 2026-10-02T23:44:37.937Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:40:42.352Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.

Authored source SHA-256: 3bef564bc8b81e60c38574e23830b6ce521193f9dbbe1424a61a4325d2c48316

Lean source · Verification JSON · Exact archived source JSON · Compiler report · Current authored source page · Signed release and verification instructions

Kernel output

Lean (version 4.7.0, commit v4.7.0, Release)
exitCode=0
'HunterAuthored.inference_1' does not depend on any axioms

Source-bound formal statements

inference_1 · Kernel-verified · axiom-free

{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.

Exact authored source in the timestamped release

P: Logos is tautologically mirrored (in) Logic. Empiricism must be coherent to be valid.

Q: Formal proof can be tested with logical rules & scientific method (SM).

R: ~(P & Q) |= absurdity.

{P, Q, R <-> (P & Q)} |= (P & Q) & R

QED

Teat hypothesis proof holds (100x) with SM.