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: 2026-10-03T01:31:21.001Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:41:05.014Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.
Authored source SHA-256: 643cc7d2bf8a21837c9df3cd45e7db0a81aa577835ad2a63fa2440364d3aba25
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} |= ((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.
Unsupported formal syntax near "⇒ Q"
A is A
The explicitly named Identity rule, over every type and element. The remaining prose is not replaced by this witness.
[PROOF OF GOD AS THE UNIVERSAL LOGIC OR “[LOGOS]” AND THE UNIVERSAL ONTOLOGY “[ITSELF]”]:
[PREMISES]:
P: 1. For coherent and consistent thought to exist as a meaningful phenomenon, there must exist an objective “Eternal Standard” delineating valid from invalid reasoning processes - the Universal Ontology itself. 2. If no such “Timeless Standard” (Eternal Standard - True Logic) existed then Logic would be temporally bound and unreliable across time, which it has shown itself not to be. 3. Evidence includes but is not limited to the current validity of verifiably ancient teachings and formalizations of Reason like the Torah and Organon, A was A when God said “Ehye Asher Ehye” to Moses in Exodus 3:14 and A is A (Ehye Asher Ehye - Identity) now.
Q: 1. The Logical Standard (Eternal Standard - Logic) cannot be reducible to or contingent upon any empirical, incoherent, or solely physical substrate. 2. The Essential Form and Universal Rule (Singular) of Logic applies and exists with logical necessity with logical independence. 3. Universal Logic (God - Logos) is the “Source of Interconnection, Identity, & Feasibility” (Origin) and therefore is the Source of the (contingent) Physical Universe as well.
R: 1. Therefore, the standard governing logic and thought must be immaterial, immutable and transcendent of the physical realm in its ontological nature. 2. The God of Reason (Logos) must possess the quality of eternal and non-physical existence. 3. Logos (God) also must be sensible and coherent (aka “of Reason”) and thus “one” (coherent and not “divergent” or illogical).
S: 1. The objective conditions for intelligibility to occur are the categories, forms and logical types comprising the architecture of rationality itself - including principles like identity, non-contradiction and excluded middle. 2. The Logos fulfills the role of the eternal, immaterial standard of logic delineated in P through R. 3. As such, it must exist with absolute actuality and necessity in an ontological sense.
T: 1. This metaphysical framework of rationality, which I term the "Logos," constitutes the very possibility conditions for coherent thinking and truth. 2. It is the inviolable substrate upon which all valid reasoning depends. 3. The Logos is the Logic of the Universe (Logic) and the “Aion Aetia Kinēsis Kai Logos” (Αἰών Αἰτία Κίνησις καὶ Λόγος) or “Eternal Cause of Motion and Reason”.
U: 1. Furthermore, the Logos' role as the ground or origin of intelligibility, truth and logical order throughout reality confers upon it attributes befitting a divine intellect or "God" - specifically, those of omnipresence throughout Being and sovereignty over domains of thought, reason and truth. 2. This True Logic (Logos) is the True God (Logos) according to Reason (Logos), as these terms are all coherent with and can be defined as or like each other - for instance, as “Order” or “the Universal Paradigm” and the “Source of Wisdom and Compassion”. 3. The True God must be a “Coherent Origin of the Universe” and “Logical Cause” (Logic itself - the First Cause of Logic), and “fully coherent” (thus “one”) or it would lead to logical contradiction, as it would if there were divergence between (rather than unity between) any or all “objectively and fully coherent” concepts. 4. Only two (or more) subjectively or intersubjectively (but not objectively) coherent and true things could be both “true” and “coherent” yet not “one” with all others in their category in terms of characteristics and logical relationship. 5. Such truths and subjective/contingent logics can be “divergent” from some other subjective (individual) or intersubjective (communal) truths, standards of coherent (contingent and incoherent ones), but the Objective Truth, Universal Logic, the One True God (the Coherent Origin) and Objective Coherence must be ONE throughout the Universe and the Logical System of the Logos and cannot be divergent or many.
[FORMAL ARGUMENT (PROOF)]:
{P, P ⇒ Q, Q ⇒ R, R ⇒ S, S ⇒ T, T ⇒ U} |= ((P ∧ Q) ∧ (R ∧ S) ∧ T) ∧ U
[CONCLUSION]: Therefore, I conclude that the Logos, in embodying the eternal and non-physical architecture of rationality itself, necessarily exists as the God, Creator and Ruler of the realms of logic, reason and truth. Its existence is self-evident from the possibility of coherent thought alone. God is Logic (Logos - Reason) and the Universal Ontology itself, and indeed ALL Objective Truth coherent as one. God is not divergent or illogical but IS God (identity). This True Logic (Logos) is the True God (Logos) according to Reason (Logos), as these terms are all coherent with and can be defined as or like each other - for instance, as “Order” or “the Universal Paradigm” and the “Source of Wisdom and Compassion”. The True God must be a “Coherent Origin of the Universe” and “Logical Cause” (Logic itself - the First Cause of Logic), and “fully coherent” (thus “one”) or it would lead to logical contradiction, as it would if there were divergence between (rather than unity between) any or all “objectively and fully coherent” concepts. Only two (or more) subjectively or intersubjectively (but not objectively) coherent and true things could be both “true” and “coherent” yet not “one” with all others in their category in terms of characteristics and logical relationship. Such truths and subjective/contingent logics can be “divergent” from some other subjective (individual) or intersubjective (communal) truths, standards of coherent (contingent and incoherent ones), but the Objective Truth, Universal Logic, the One True God (the Coherent Origin) and Objective Coherence must be ONE throughout the Universe and the Logical System of the Logos and cannot be divergent or many. The Logos is the Logic of the Universe (Logic) and the “Aion Aetia Kinēsis Kai Logos” (Αἰών Αἰτία Κίνησις καὶ Λόγος) or “Eternal Cause of Motion and Reason”.