Lean verification registry · Authored proofs · The Logos Architecture

Logic, Energy, and Electrical Identity

Written formal sequents verified
Axiom-free: true · 2 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: 2026-10-02T23:12:03.037Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:39:29.204Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.

Authored source SHA-256: 498c02e6eca5466d308492b3bdc56fdb7fe30ed94774e302ba2d5db87a50c9bd

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.inference_1' does not depend on any axioms
'HunterAuthored.source_identity_rule' does not depend on any axioms

Source-bound formal statements

inference_1 · Kernel-verified · axiom-free

{P, P -> Q, P -> R} |= (P & Q) & R

Exact source sequent under finite two-valued propositional semantics. Source proposition meanings and Logic/Logos/God Ground are preserved separately; this checks the inference, not unencoded prose.

source_identity_rule · Kernel-verified · axiom-free

A = 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: the Universal Logos is the Source of All Concepts. (Axiom)

Q: Logos makes A = A, and energy/electricity be energy/electricity. (LOI)

R: Illogic arises if energy/electricity can’t be directly derived from Logic and A |= A. (LNC)

{P, P -> Q, P -> R} |= (P & Q) & R

QED