Lean verification registry · Authored proofs · The Logos Architecture
Written formal sequents verified
Axiom-free: true · 4 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: 2026-10-03T01:37:25.068Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:37:20.756Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.
Authored source SHA-256: 774b8ec047741ec3f9b88b671e87f83bc6d6e0e8653932782db9e1594e9290f8
Lean source · Verification JSON · Exact archived source JSON · Compiler report · Current authored source page · Signed release and verification instructions
Lean (version 4.7.0, commit v4.7.0, Release) exitCode=0 'HunterAuthored.inference_1' does not depend on any axioms 'HunterAuthored.inference_2' does not depend on any axioms 'HunterAuthored.inference_3' does not depend on any axioms 'HunterAuthored.inference_4' does not depend on any axioms
{P} |= P
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.
{Q} |= Q
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.
{P, P <-> Q, Q, Q -> P} |= P & Q
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.
{Q, Q <-> P, P, P -> Q} |= Q & P
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.
P: 1) All must equal all for there to not be logical contradiction, which means 2) in some case each thing equals each other thing, contextualizing this logical necessity (and forming Reality) so there is 3) not logical contradiction created by the need for God to be God, Logic to be Logic, nothing being nothing, and all being all, which leads 4) to some quirky things like needing at least one context where each thing is actually not each thing, and cases where things like God are not things like God (like in the context of “the mind of the atheist”). 5) Atheists don’t necessarily (or without contradiction) grasp it but everything they do is actually helping God, just not nearly as much/directly as a cooperative, coherent, and brilliant servant (ie - a prophet, a logician, a philosopher, a scientist that doesn’t deny the Logos or fail to logically put Logic above science where it logically must be, etc.).
{P} |= P
Q: Assume ~P. This leads quickly to logical contradiction, and logical inconsistency.
{Q} |= Q
Conjunction:
P & Q
Proofs:
{P, P <-> Q, Q, Q -> P} |= P & Q
{Q, Q <-> P, P, P -> Q} |= Q & P
Conclusion:
P & Q