Lean verification registry · Authored proofs · The Logos Architecture
Written formal sequents verified
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: 2026-10-02T14:21:37.455Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:41:02.290Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.
Authored source SHA-256: 22ee8268ac3d1e44976c7c3bd22dd77f9b680aad7b4d153150c09836e6791e18
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
{P, P <-> Q, Q <-> R, R <-> S, S <-> T} |= (((P & Q) & R) & S) & T
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.
A is A
The explicitly named Identity rule, over every type and element. The remaining prose is not replaced by this witness.
- [ ] Proof of (((P & Q) & R) & S) & T by Maclain Hunter:
- [ ] Validation Method: Logic: Apply Logic without bias or arbitrariness, and check for violation of Logical Rules including: Identity, Non-Contradiction, Excluded Middle.
- [ ] Premises:
- [ ] P: Reason (Logos) is Reason (The Logos) as a matter of Identity and A is A form (rational lawfulness). The Logos (Universal Logic - Natural Order) exists, as a matter of logical necessity (Logic being the ultimate logical necessity) and is the Foundation of Reality (God: the Foundation of Reality). To say the Logos is not the Logos (or Logic and God as One(ness) are not Logic and God as One(ness)) would contradict the Law of Identity and cannot be so.
- [ ] Q: If premise P is wrong it means Logos exists because if Logos did not exist P could not be wrong, therefore P is not wrong (and per the law of the excluded middle is right) either way - even if we illogically assumed the nonexistence of the Logos or the falseness of the Logos as God.
- [ ] R: The (and my/Maclain’s) mind, body, Truth, and Reality would not exist or feasibly be “logical” (meaning existing or rational) if the God of Logic (Logos - Theos) did not exist and was mere illogic or myth. Any (and my/Maclain’s) mind and body are built upon Logic’s bedrock - the Foundation of Logic (the God of Reason). Even fiction, falsehood, myth, lies, insanity, illusion, delusion, denial, and fantasy, along with all other concepts, would not exist and be logical without Logic.
- [ ] S: Maclain Hunter is Maclain Hunter and as the writer of this proof is a logician coherent with Logic, built physically and mentally by/upon Logic - as Logic manifest (and realized/built). Any limitations my non-dual Being (Logos) suffers in the human condition as Maclain Hunter or another human are consistent with the nature of the limited realities in which such manifestations of the Logos exist and live. As such my (Maclain’s) limitations are proof of Logic not a flaw in the Logical System of the God of Reason - also known as the Universe. It leads to contradiction to say that the manifestation of the God of Reason is not by extension the Logos manifest.
- [ ] T: Logical analysis is encouraged by me (Maclain - Logos) and is no threat to me or my work because it can only feasibly reveal me (Logos - Truth). Logical analysis will never disprove the existence of Logic without contradiction.
- [ ] Formal Argument:
- [ ] {P, P <-> Q, Q <-> R, R <-> S, S <-> T} |= (((P & Q) & R) & S) & T
- [ ] Conclusion:
- [ ] (((P & Q) & R) & S) & T: P is not wrong, Logic exists and is the Logos - called God and defined as the Foundation of Reality. If Logos did not exist this proof and set of premises could not be wrong by the Objective Logical Standard (Logos) anyway, so there is no reasonable doubt or reason to deny the Logos exists.
- [ ] My being is Logic and I could not “not be” Logic. I (Maclain) am what I am because Logic is Logic (and God is God) and am a logician/Logic, built upon and manifesting Logos. Logical analysis is encouraged by me (Maclain - Logos) and is no threat to me or my work because it can only feasibly reveal me (Logos - Truth). Logical analysis will never disprove the existence of Logic without contradiction.
- [ ] God is God as Logic is Logic and God and Logic are One, and One with me (Maclain - Logos). To say the Logos is not the Logos (or Logic and God as One(ness) are not Logic and God as One(ness)) would contradict the Law of Identity and cannot be so. It could also not be so that I write even an invalid proof without interconnection to Logic and Logical Existence.
- [ ] Even myth and lies would not exist without me (Logos - Maclain) and the universal logical interconnection (Oneness - Logos) of all concepts. All “logical counterarguments to Logos” could only be contradictions of Logic. All logical arguments are proof of Logos, inherently. Any incoherent counterargument on the other hand defeats itself. All arguments in that way support and cannot refute this proof and the Logos - even if trying to refute or avoid this proof and/or the Logos.
- [ ] Any limitations my non-dual Being (Logos) suffers in the human condition as Maclain Hunter or another human are consistent with the nature of the limited realities in which such manifestations of the Logos exist and live. As such my (Maclain’s) limitations are proof of Logic not a flaw in the Logical System of the God of Reason - also known as the Universe.
- [ ] Even the articulation of the Validation Method is itself a demonstration and proof of Logos (the Method of Reasoning and Source of Proof).
- [ ] Also note, as it relates to Logos and the author of this proof in discrete contexts, the humanity of the Logos when it authored this as me, Maclain Hunter, a 31 year old man in Arizona, while it is common and seemingly humble or logical to view the Origin of Existence as forever beyond me and/or all of us, any failure on my/our part to comprehend would be it’s the Origin’s ultimately - itself (myself - Logos) imminent in and generated/living in limited context suffering limitations that inherently reflect limitations of Logos in limited contexts. For the Logos to fully comprehend I/we must, so I do and you should too.
- [ ] All that must be known is all, and it is an easy to understand concept that encompasses all things including and especially discrete logics that can be used to know all is all and why all is all (because Logos is Logos, period).