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: 2026-10-03T01:35:17.183Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:37:59.760Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.
Authored source SHA-256: 9a41f0f18e6b5e890f2220b2b9d3f8a618a3cc29ada1e449f6d12a07cd10e1f6
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, Q, R, S, T, U, V} |= (((P & Q) & (R & S) & T) & U) & V
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.
Maclain Hunter’s “Degree from the University of Universal Logic”: an exploration of deriving a less arbitrary certificate of educational attainment from Logic itself.
Premises:
P: The Law of Identity is coherent with Reality’s Logic (Logos) which demands A be A, and which is grounded in (itself as) the coherence of Reality being Reality - which is tautological and true (that Reality is Reality so Logic is Logic) as a matter of real and logical needs.
Necessity of P: This premise is tautological, asserting that A is A, which aligns with the Law of Identity. It is valid as it does not violate any logical principles.
Q: The existence of the Logos is not an arbitrary or optional thing but a necessity, as it is a prerequisite for need to BE “need” with any sort of logical consistency or Reality to its own existence.
Necessity of Q: Q is necessarily true as it is fundamentally saying that Logic is necessarily true. To assume otherwise leads to contradiction and the paradox where the very logics we use to prove things would become arbitrary and unnecessary rationally, which would open the door to “valid unreason” and things that cannot be according to the Logic of Reality (Logos).
R: In light of P and Q we can move forward to deduce that in Reality all concepts are equally valid as far as their own identity (and them holding their own identity) goes. This means we can discover new concepts that exist beyond our current understanding simply by thinking in a “well x must be x too then” fashion constantly fathoming what that means for new and different definitions of x without risking contradiction (if we stick to mere A is A form).
Necessity of R: The assertion that all concepts hold their own identity is valid. This premise allows for the exploration of new concepts without contradiction, adhering to the principle of non-contradiction.
S: This means it is certain that “the Universal University” (the School of Existence) is also what it is, and we can have coherent or incoherent understandings or interpretations of what that might be.
Necessity of S: This premise is coherent with the previous premises, as it builds on the idea that existence itself can be viewed as a learning framework.
T: A valid interpretation in regards to premise S is that the Universe is a school for those in it, and that to learn about and from the Logic of Reality (the Universal Logic - the Logos - the First Cause of Logic and Existence also known as God) is the goal and standard.
Necessity of T: This premise is also coherent with the previous premises, as it builds on the idea that existence itself can be viewed as a learning framework (again).
U: To prove things with coherent Logic, in this “School of Existence” proposed as holding inherent logical identity (even if not well recognized as a concept among human beings) in previous premises, is to meet the requirements and standards of the School (that we might call “the Universal University”) and is logically equivalent to “passing” or even “graduation” in various limited contexts and/or in the universal context.
Necessity of U: The equivalence of proving things with coherent Logic to passing or graduating from this Universal University is a logical extension of the previous premises. It maintains internal consistency.
V: My (Maclain Hunter’s - the Logician’s) writing this proof and the coherence displayed, upon validation (which is possible by applying Logic as the Rule/Standard of evaluation), can be known as evidence of my coherence and thus alignment with the requirements of the Logos.
Necessity of V: The assertion that the coherence displayed in Hunter’s writing serves as evidence of alignment with the Logos is valid, as it logically follows from the established premises.
{P, Q, R, S, T, U, V} |= (((P & Q) & (R & S) & T) & U) & V
Conclusion/Output:
(((P & Q) & (R & S) & T) & U) & V :
Let this serve as evidence of [Maclain Hunter’s] coherence with Logic (the Standard), as it would be a contradiction for me to even write a logically valid argument structure (even if one were to disagree with my premises) without coherence with and proper understanding of Logos/Logic (the Standard of the Universal School). Therefore the conclusion can be drawn that by meeting the requirements of the University (of Universal Logic) that a proof such as this can be considered akin to passing grades or even “graduation” and a diploma or degree. Such a thing, though it may seem arbitrary, is less arbitrary and more universally valid than having a degree according to schools of man but not according to Logic (Logos).
If we assumed the opposite that would lead to contradiction, as it would if we assumed the premises above and the argument structure were invalid and untrue.