Lean verification registry · Authored proofs · The Logos Architecture

Logical Necessity and Reflexive Truth

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: 2026-10-02T23:09:26.531Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:39:44.462Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.

Authored source SHA-256: 4afc8f008a2f8111d90ce78fd4d3f34c1a28e96aed4b7394249cf6973d14368b

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

P: Logical Necessity and arguments and concepts aligned with this Necessary Logic.

P |= P

Truth Table: 

Since P cannot be false here, we need only one line:

T |= T

(Tautology not contingent upon external validation, aligning with tautological Logic for PSR)

QED