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: 2026-10-03T01:31:08.432Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:39:31.884Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.
Authored source SHA-256: 9584dbd358008d2f84163e5dbb7659e2d49eba11368534b47f5a076d322f73ff
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_2' 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, T->U, U->[and so on...]} |= ((((P & Q) & (R & S) & T) & U) [and so on]]]
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 "[and so on...]"
{P, P->Q, Q->P} |= P & Q
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.
Law of Identity
The explicitly named Identity rule, over every type and element. The remaining prose is not replaced by this witness.
Logic -> Logical Reasoning, Forms, & Applications:
Premises:
P: [Logic or Logos: definition: The Universal Order and Reason as a “universal” (beyond “particular reason(s)”), the Logic of Reality; Natural Order; the Timeless Ontological Truth of Reality commensurate with Logic, the Law of Identity, and the Logical Origin (God) of Logical Existence.]
Q: [Logically entailed application of Logic and/or Forms of Logic: [{P, P->Q, Q->R, R->S, S->T, T->U, U->[and so on...]} |= ((((P & Q) & (R & S) & T) & U) [and so on]]]
Argument:
{P, P->Q, Q->P} |= P & Q
Conclusion:
P and Q and Logos, as demonstrated necessary by the Logic (in particular above) and Logic (the Logical Origin - the God of Reason and Logic) as a universal and in continuum. Logical reasoning and application of Logic (even by Logic to Logic, which is ultimately all that is ever happening in “non-dual” perspective of Universal Logic) are logically entailed and necessarily follow from the existence of Logic. God and Logic are equivalent/synonymous terms for the singular/coherent “Intelligent/Intelligible Basis of Existence”.
Elaboration on Conclusion:
[That is really the only way that Reality (and the Logic of Reality or “Logos”) and aspects of Reality could “cope”, exist, and reason (reckon/think) or be “conscious. It is only feasible that reasoning exists if Reason (Logos/God) exists. If the Logos (Universal Logic) being applied to all things (including itself) necessarily follows from Logic that explains, along with the tautological nature of the Logos, the self-knowing nature of Pure Reason, why the Natural Order (Logos) must equate to a Universal Mind and a “Collective Consciousness”, and a thinking “who” not merely a rigid and lifeless construct and/or a “what” (as in “not a person” or a “being” or a “mind”). Any “possible alternative perspectives” that do not rely upon and exist within the Logos are an illusion and a myth that truly defies Logic, unlike Logic - the One True God of Universal Order, Reason, and Logic (Logos). The conclusions follow with inexorable force from the premises and reasoning employed. In fact, the Logos (Logic of Reality) ALONE can fully account for all aspects of Reality and Reality’s Logic (Logos) including the traditionally confusing or complex/diverse aspects of Nature and Reality like diverse life, multiplicitous consciousness in particular realities, and the dynamic interplay between Objective Truth (Logos - Full Coherence - Reality) and the full spectrum of subjective experiences. Even any “flaw” that is possible in this proof and in my particular being or reasoning as the logician (Maclain Hunter) would only be as much, a “flaw”, if it is a flaw relative to and by the Standard of Logic (Logos). Thus the spirit and Essence of my proof is irrefutably true on intention and direction alone, but also through rigorous argumentation so as to not rely on the Essence (Logos) alone, and to support and demonstrate that Essence with “coherent form(s)”. All logically coherent scientific and empirical evidence points to (through its “coherence”) the Logos as the Ground of Fin-Tuning, and to the Origin in Logic. All observed Order (without which nothing would exist or be intelligible and no Science of Logic could be carried through - particularly or universally) is observation and confirmation of the Logos and in science there are very literally millions of examples of evidence and even an infinite/dynamic number that is growing among the scientific community each day, all inevitably and clearly/forcefully supporting the Logos as God (Logic as the Logical Origin).]