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: 2026-10-03T01:37:26.944Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:42:45.188Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.
Authored source SHA-256: ed56a9f94a6f2afe7e8172d224cc9da10a0c1f1fb47428a5ccb61df80e90bb74
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 → T, T → U, U → P, ~(~P & ~Q & ~R & ~S & ~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.
Use logical tools and mathematical models to objectively, rigorously, and scientifically test this proof, then generate report with logically coherent and scientifically sound [output/conclusion/analysis/report]:
{P, P → Q, Q → R, R → S, S → T, T → U, U → P, ~(~P & ~Q & ~R & ~S & ~T & ~U)} |= ((P & Q) & (R & S) & T) & U
P: A self-evident truth is true regardless of a mind's denial.
Q: Well-formed formal logical proofs are self-evident truths.
R: The existence of the self-consistent and complete set of logical truths is necessary for the existence of a self-evident truth.
S: The Universal Logic is the self-consistent and complete set of logical truths - the Logical Truth, First Cause of Existence, and Universal Law of Logic (the First Principle of Reason) coherent as one (one with and as the Standard and Concept of Full Coherence itself).
T: The Universal Logic exists independently of human beliefs or opinions. Doubts and incoherence indirectly support the existence of the Logic through their nature as logically contingent concepts.
U: The Universal Logic is the self-evident truth that Reality originates from and is rationally supported by. Counterarguments would have to use Logic to try to rebut the proof/evidence for the Universal Logic and inadvertently end up strengthening the argument and demonstrating Logic, or "incoherence" that only exists relative to Logic and because there is such an "Objective Logical Standard" (a definition of "Logos", "Reason", or "Logic") as the Universal Logic or "Logos" - the Divine Reason underlying all things including any logical structure found in this proof and its premises.