Lean verification registry · Authored proofs · The Logos Architecture
Source recorded — formalization still required
Axiom-free: not established · 0 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: 2026-10-02T23:10:20.576Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:38:38.675Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.
Authored source SHA-256: edd850508bcbe479f373aae1ae6830b842f7c13d0a274fc40431764dfd722e8c
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) Not executed: no complete licensed formal sequent recovered.
{□P, P -> Q, Q -> R} |= □(P & Q) -> R
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 "□P"
P: God: the Origin of Reality; Ontological Ground; Moral Standard.
Q:□: Logic determines validity, and validates itself as the Standard.
R:□: God (P) must be fully coherent (one) with Logic (Q) to avoid contradiction (~Q).
{□P, P -> Q, Q -> R} |= □(P & Q) -> R