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: 2026-10-02T23:43:55.297Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:42:46.039Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.
Authored source SHA-256: 2c5e58ef44156e19265df06cd87b0ae9a49a6cf18865ec09fc2f96f6de2b15f3
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 & R)} |= P -> ~(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.
P: No framework can refute Universal Logic (Logos), nor Logos coherent local logics (logoi).
Q: Let x encode Rational Substance in Logic y and systems y(n).
R: x in y(n) is not refuted by denial of x in y(n) outside y(n).
{P, P -> (Q & R)} |= P -> ~(P -> ~(Q & R))
QED