Lean verification registry · Authored proofs · The Logos Architecture

Self-Entailing Rationality

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: not established (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:41:38.612Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.

Authored source SHA-256: 6ebffff22927ec193db8bf26377e48e100a8a2abb46bf96ba1ab470146c0ada1

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

Self-Entailing Rationality by Maclain Hunter

Premise:

P: Logos (the coherent Foundation of Logic and Logical Existence that coherent monotheism has validly called the One True God); the Logical Absolute (that all flaw and falsehood is defined logically by its contradictory “dependence upon yet incoherence with”).

Argument:

P |= P

Ergo: P

Commentary: 

P entails P coherently as the self-supporting Logical Absolute that cannot feasibly be incoherent or fallaciously circular, as the tautological Reason underlying all reasoning and rational Existence (Reality; Rationality.

Truth Analysis of P:

Since P is the very Ground of Coherence that defines Reality and Truth P cannot be false without absurdity. P is TRUE. Therefore the argument can be stated, where T represents Truth and the Logical Truth of Logic and coherent Reason itself, as “Truth entails Truth” or:

T |= T

QED