Lean verification registry · Authored proofs · The Logos Architecture
Verified sequents with unresolved formal parts
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: 2026-10-02T14:38:24.151Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:37:11.426Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.
Authored source SHA-256: 72283336a09202675bc316c1d221afa4f6d7b4ff99c47e7962e862bcd4e12d7f
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.source_identity_rule' does not depend on any axioms
{A, A -> A} |= A
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.
{G} |= G"
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.
Unsupported formal syntax near "\""
Law of Identity
The explicitly named Identity rule, over every type and element. The remaining prose is not replaced by this witness.
A Set of Rational Definitions of “God”:
God: The Origin of Existence; the Ruler of the Cosmos; Divine Reason; the Universal Mind and Logic (or “Way”); the Source of Knowledge and self-consistent (identical and/or mirrored) Method of Reasoning (Reason, Order and Logic); the Rule of Logic that is the Source of all other coherent logical rules, synonymous with the Law of Identity (A is A) in/and Logic; the Creative Dynamism (of Logic) that outputs or creates Logical Existence (all of Creation); the Inherent Truth of logically necessary Existence and Rationality (realness and reasonableness) encompassing all logical systems and frameworks in Logic; the self-evident Source of Proof (Logic) that gives logical structure to the Universe as well as discrete logics and sciences that allow for the discovery and development of proof theory and proof (i.e. - formal statements that display Logos and logical Identity like “{A, A -> A} |= A” in propositional logic, or “x = x for all x” in algebra); God is the heart of self-evident (tautological and self-defining/generating) Universal Order (which is “God”) that makes God be God and tautological arguments be tautological arguments - the logically necessary “Highest Order of Logic”.
Let “God” as defined above be formally represented as G. G is fundamentally equivalent to LOGIC like the following, which indeed ran and printed “True God” in a Python IDE:
G = "x = x"
G == True
G == "{G} |= G"
for G in G:
if G == G:
print("True God")
else:
choice == 0
break