Lean verification registry · Authored proofs · The Logos Architecture

Logic, Reality, and Reflexive Coherence

Verified sequents with unresolved formal parts
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: 2026-10-02T23:10:26.419Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:39:35.484Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.

Authored source SHA-256: 5c93e905136c021a4844ed676a5465e0a5d1d1ff660c472ee711b59b02e5ef15

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.source_identity_rule' does not depend on any axioms

Source-bound formal statements

source_identity_rule · Kernel-verified · axiom-free

A is A

The explicitly named Identity rule, over every type and element. The remaining prose is not replaced by this witness.

Exact authored source in the timestamped release

P: Logic’s COHERENCE with the A is A form of Logos (ie - Reality as Reality) |= Logic is Reality.

Q: Logic is a tool for knowing Reality, but not merely.

R: Reality <-> Logic.

S: Logic can’t reveal Reality if incoherent with it.

P -> P |= (Q -> Q) & (R -> R) & (S -> S)

QED