Lean verification registry · Authored proofs · The Logos Architecture

Knowing Proof and Logic

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: 2026-10-02T23:45:15.061Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:39:04.852Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.

Authored source SHA-256: 495d3190fed2c520a0e4e4faf3db334baa616fc00d859809aa5f5212853ffef4

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 -> 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: Logic: Logic is the “Method of Reasoning” (by consistency) with Logic.

Q: Proof: Proof encompasses formal and philosophical arguments that point to Logos as Truth.

R: Knowing {P, Q} contradicts claims I don’t know proof/Logic {P, Q}.

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

QED