Lean verification registry · Authored proofs · The Logos Architecture

MCB State Exclusivity

Verified sequents with unresolved formal parts
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: not established (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:40:10.644Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.

Authored source SHA-256: 110d3af511c6be0e7c2dcfbdabecfd736a96fd0988e6a43615f8dd3290115037

Lean source · Verification JSON · Exact archived source JSON · Compiler report · Current authored source page · Signed release and verification instructions

Kernel output

Lean (version 4.7.0, commit v4.7.0, Release)
exitCode=0
'HunterAuthored.signed_state_exclusivity' does not depend on any axioms

Source-bound formal statements

signed_state_exclusivity · Kernel-verified · axiom-free

{
  "name": "MCB State Exclusivity",
  "formal": "S ≝ {+1, -1}, |S| = 2",
  "implication": "Zero is excluded from valid MCB states",
  "fourPMapping": "Zero would map to Nothing (S), which is unreachable"
}

Exact two-state encoding of the declared MCB state set. No Boolean assignment supplies semantic premise truth.

Exact authored source in the timestamped release

{
  "name": "MCB State Exclusivity",
  "formal": "S ≝ {+1, -1}, |S| = 2",
  "implication": "Zero is excluded from valid MCB states",
  "fourPMapping": "Zero would map to Nothing (S), which is unreachable"
}