Lean verification registry · Authored proofs · The Logos Architecture
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: 2026-10-03T01:30:26.363Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:42:32.601Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.
Authored source SHA-256: 65c5b8e027c894900731be6799b26fa41a27bdcb2013356b513c83e7ddfea5b1
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.source_identity_rule' does not depend on any axioms
{P, P -> Q, Q -> R, R -> S, S -> T, T -> U, U -> P} |= (((P & Q) & (R & S) & T) & U
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.
Unmatched formal parentheses
{P, P -> Q, Q -> R, R -> S, S -> T, T -> U, U -> P} |= (((P & Q) & (R & S) & T) & U
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.
Unmatched formal parentheses
Law of Identity
The explicitly named Identity rule, over every type and element. The remaining prose is not replaced by this witness.
PROOF:
PREMISES:
P: The "Solely Coherent Perspective" is the "Solely Coherent Perspective" and that perspective must be 100% logical.
Q: The 100% logical perspective (Absolute Truth) is the 100% logical perspective (Absolute Truth) and is what it is.
R: The statement “it is what is is” is a representation of logical form (or Logic) and the Law of Identity or A is A, and is also a representation of the One True God in the Book of Exodus that said to Moses “I AM that I AM” (Exodus 3:14).
S: The God of Exodus described as “I AM that I AM” and the Law of Identity (A is A) share and come from the same self-referencing Rational Substance that “is what it is” and can be logically called “Logic” or the Essence of Logic.
T: The Essence of Logic is essentially and metaphysically logical and is inherently logical which allows it to be both the Logical Standard (Logos - Logic) and Logical Origin (Theos - God).
U: Therefore Logic is God according to Logic and acknowledging that is logical while the assumption of the opposite leads to logical contradiction and refusals to admit the Logical Truth of Logic as the Logical Origin and True God are inherently unreasonable (in the context of knowing/conscious refusal).
FORMAL ARGUMENT:
{P, P -> Q, Q -> R, R -> S, S -> T, T -> U, U -> P} |= (((P & Q) & (R & S) & T) & U
TRUTH TABLE (Premises Pre-Validated):
P: T
Q: T
R: T
S: T
T: T
U: T
CONCLUSION:
Logic is logically irrefutable and supports premises P, Q, R, S, T, and U, along with all things logical and indeed all logical existence. Logically certain truths are 100% certain beyond/despite any subjective opinions or denials of the Logic and God (Logic and God being fully coherent and one, as “Full Coherence” and Logic itself. The argument structure, “{P, P -> Q, Q -> R, R -> S, S -> T, T -> U, U -> P} |= (((P & Q) & (R & S) & T) & U” is valid and since the premises are constructed carefully to be objectively true the argument with all true premises is tautological. No internal inconsistency or fallacy is apparent in the premises, structure, or reasoning employed. The argument forms a closed, self-referential circle wherein admission of any component affirms the whole. This demonstration thus establishes beyond any logical doubt the identity of logic and God as defined and attained through pure rational derivation alone.