Lean verification registry · Authored proofs · The Logos Architecture

NOT Involution

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: 2026-10-03T10:40:40.592Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.

Authored source SHA-256: 9bc0dfbadc58a4fae979cab7188a0fafa6eb7a9eb409db67c2826627cd9b2737

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.negation_value_involution' does not depend on any axioms

Source-bound formal statements

negation_value_involution · Kernel-verified · axiom-free

{
  "name": "NOT Involution",
  "formal": "∀e ∈ MCBExponent: NOT(NOT(e)) = e",
  "proof": "NOT(NOT(v)) = NOT(-v) = -(-v) = v",
  "implementation": "mcbExponentNOT(a: MCBExponent): MCBExponent"
}

Exact authored value-level NOT involution for arbitrary integers. Host record metadata preservation is a separate implementation obligation.

Exact authored source in the timestamped release

{
  "name": "NOT Involution",
  "formal": "∀e ∈ MCBExponent: NOT(NOT(e)) = e",
  "proof": "NOT(NOT(v)) = NOT(-v) = -(-v) = v",
  "implementation": "mcbExponentNOT(a: MCBExponent): MCBExponent"
}