Lean verification registry · Authored proofs · The Logos Architecture

Oneness and the Proof of Non-Contradiction

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: 2026-10-02T23:43:36.426Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:40:45.900Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.

Authored source SHA-256: b31f28733dbf63e0fcfec7a9ea5fbf01ce100a281f5304ff151c69fda359151a

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

L: Logic :: Reasoning by Reason.

O: Oneness :: Coherence :: Logic :: Logic’s Source :: God

G: God :: Origin of Reality; Moral Standard; Logic’s Ground

I: Intelligence :: (Tautology :: ~(fallacy))

C: Contradiction proves Non-Contradiction.

[~(L :: O :: G :: I)] :: [C]

QED