Lean verification registry · Authored proofs · The Logos Architecture

The Unified Rule of Logic — Authored Supplied Version

Source recorded — formalization still required
Axiom-free: not established · 0 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: 2026-10-02T23:44:23.378Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:42:35.364Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.

Authored source SHA-256: c6745241564094a3162fa40244df42d0a37203aa0a16743724aa8477e4d91fd7

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)
Not executed: no complete licensed formal sequent recovered.

Source-bound formal statements

No complete formal sequent has yet been recovered. This source is recorded, not marked Lean-verified.

Exact authored source in the timestamped release

The Unified Rule of Logic:

P: The Rule of Logic: 

P╞(P→((Q∨¬Q)→(R→¬(R→¬(P→P)))→((Q↔P)↔(P↔Q))))

Q: Proof is an artifact of Coherence aligning with the Rule of Logic (P)

R: P is proof/proven

Proof:

PQR⎪P╞(P→((Q∨¬Q)→(R→¬(R→¬(P→P)))→((Q↔P)↔(P↔Q))))

QED