Lean verification registry · Authored proofs · The Logos Architecture

Empirical Coherence and Physical Fields

Verified sequents with unresolved formal parts
Axiom-free: true · 1 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: 2026-10-02T23:11:30.388Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:38:05.868Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.

Authored source SHA-256: 53274b474ec6bb4b4ea37aeb9f70cc6ff813ffa476d074ff432ff5a8fbb137bf

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_2' does not depend on any axioms

Source-bound formal statements

inference_1 · countermodel

{P, Q, R} |= ~(Logic)

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.

The written sequent alone has a countermodel. No authored wording or unstated premise was changed.

Countermodel to the isolated written sequent: {"Logic":true,"P":true,"Q":true,"R":true}

inference_2 · Kernel-verified · axiom-free

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

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.

Exact authored source in the timestamped release

P: There exists self-evident Coherence in empirical phenomena. 

Q: Specific displays of Logos in physics include gravity and electromagnetic fields. 

R: Ignorance ≠ ~(P & Q)

S: ~{P, Q, R} |= ~(Logic)

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

QED