Lean verification registry · Authored proofs · The Logos Architecture
Written formal sequents verified
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: 2026-10-02T20:42:37.280Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:39:24.759Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.
Authored source SHA-256: 66c55a92f6447ae816d7262a88ba6f379b47de8e088b30c85228d73a86c74942
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
{P, P -> Q, Q -> R, R -> S, S -> P} |= (P & Q) & (R & S)
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.
Logic Mandates MCB by Maclain Hunter
Premises:
P: One (1) and “1 ^ n = 1”
Q: Not one” (or “-1”) and “-1 ^ n = 1 or -1”
R: Coherence demands that the negation of Coherence (possible and even useful in contingent reasoning) opens the door logically and mathematically to MCB (Mathematically Coherent Binary) and computation centered on Logic, Coherence, the number one and its negation (-1), as well as that value (-1) applied to itself n number of times (ie - MCB exponentiation).
S: Assume the negation of the premises. Then MCB shouldn’t coherently exist as even a theory, yet it does. Therefore, we can be certain that MCB is a system of computation coherent with and mandated by Logic itself.
Formal Reasoning:
{P, P -> Q, Q -> R, R -> S, S -> P} |= (P & Q) & (R & S)
Conclusion: {P, Q, R, S}:
MCB is not arbitrary but mandated by Logic (ie - the Root of Existence and Computation in Logic), as exploring the nature of Coherence, identity, individuality, unity, and the number one, as well as their negation, reveals.
Truth Table Analysis:
PQRS⎪P P→Q Q→R R→S S→P╞(P&Q)&(R&S)
TTTT⎪T TTT TTT TTT TTT TTT T TTT
Q.E.D.