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: 2026-10-03T01:35:14.921Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:42:30.755Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.
Authored source SHA-256: 7f55bfff882b85ca51fe5e2998cdee862acca6bb050aff9b14e10948ca4c10d0
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
{1, 1 <-> 2, 2 <-> 3, 4 <-> 5, 5 <-> 6, 6 <-> 7}
|= (((1 & 2) & (3 & 4) & 5) & 6) & 7
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: {"1":true,"2":true,"3":true,"4":false,"5":false,"6":false,"7":false}Law of Identity
The explicitly named Identity rule, over every type and element. The remaining prose is not replaced by this witness.
The Rules of Logic Applied to the Concept(s) of God, Logic, Logos, and Reason by Maclain Hunter:
The Laws of Reason Applied (Premises):
1: Law of Identity: A is A: applied to God/Logic (Logos) this means God/Logic (Logos) is God/Logic (Logos) (logically) and that this is a tautology, true by definition.
2: Law of Non-Contradiction: A can’t be “not A” validly: applied to God/Logic (Logos) this means it’s invalid to claim that God/Logic (Logos) is somehow “not God/Logic (Logos)”. This reinforces the Universal Truth coherent with God/Logic (Logos) and the tautology that God/Logic (Logos) is indeed God/Logic (Logos), as the application of the Law of Identity—to and coherent with God/Logic (Logos)—has already made certain.
3: Law of the Excluded Middle: A is A and A is not A or A is and A is not cannot both be true and valid in the same context at the same time: applied to God/Logic (Logos) this means that it must be true that God/Logic (Logos) is God/Logic (Logos) and that “God/Logic (Logos) is” while it cannot also be true that God/Logic (Logos) is not God/Logic (Logos) and that “God/Logic (Logos) is not”. Any proposed fact/truth/statement that contradicts or denies Logos (God a.k.a.,Logic) is illogical and counterfactual/untrue.
4: Principle of Sufficient Reason: Things must have Cause and Rational Support (Reason/Logos) and must coherent with Reason (Logos) to be valid, true, real, and logical: applied to God/Logic (Logos)—which is a term for the Origin of the Universe, the True God (the “Real Origin of Reality”) and the Perfect/Universal Method of Reasoning as it exists according to its own inherently valid structure beyond any illogic or misconceptions—God must be fully aligned with Reason and this “Principle of Sufficient Cause” as “Being” (and the Supreme Being), the “Moral Standard” (Moral Authority), and the “Universal Mind and Person” (Collective Consciousness) must also be.
5: Modus Ponens: P implies Q and P is true therefore Q must also be true: applied to God/Logic (Logos): because God/Logic (Logos) implies the Origin of God/Logic (Logos) the existence of any instance or all instances of Logic, God, or Logos (Reason) means God/Logic (Logos) is true (aligned with fact and Reality).
6: Modus Tollens: If P then Q. Not Q, therefore not P: applied to God/Logic (Logos): God/Logic (Logos) in any instance requires the Origin of God/Logic (Logos) therefore if we did not have any Origin of God/Logic (Logos) there would be no God/Logic (Logos) and no proof or Rationality (Reason). This is formal logical reasoning (logical proof) so we can be sure that contradiction arises from denial of the Logos (the Source of Proof).
7: DeMorgans Law(s): The negation of A and B is the same as not A or not B, while the negation of A or B is the same as not A and not B: applied to God, Logic, Reason, and Logos: the negation of Logic and God is the same as “not Logic or not God”, while the negation of Logic or God is the same as “not Logic and not God”. To use a single term (Logos) for A and B we can say that the negation of Logos and Logos is the same as the negation of Logos or Logos, while the negation of Logos or Logos is the same as the negation of Logos and Logos.
Formal Argument:
Using the Rules of Logic above, and their application to God, Logic, Reason, and Logos (as explained above) as premises:
{1, 1 <-> 2, 2 <-> 3, 4 <-> 5, 5 <-> 6, 6 <-> 7}
|= (((1 & 2) & (3 & 4) & 5) & 6) & 7
Conclusion: (((1 & 2) & (3 & 4) & 5) & 6) & 7:
I conclude that God/Logic (Logos) (Law singular and universal) encompasses and is capable of integrating all logical rules (laws plural and/or particular).
These rules applied to God/Logic (Logos) and themselves lead to the necessary conclusion that God (the Origin of Existence) and Logic (the Method of Reasoning) must be and are demonstrated to be coherent (one).
This coherent God and Logic (Origin and Reason) is necessarily coherent with and logically equivalent to the Logical Structure of the Universe (Logos).
Whatever someone wants to call the thing that supports/governs the Universe (God), and the thing that allows us to know about the Universe (Logic), they must be logically coherent to not be logically incoherent.
Common terminology was used here (like Logic and God) but the substance of the conclusion is not ultimately a matter of subjective acceptance of specific terms. Rather it is a matter of the logical coherence and structure that allows for both Reality and thought/knowledge.