Lean verification registry · Authored proofs · The Logos Architecture

Conditional Determinism

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: 2026-10-03T10:37:55.105Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.

Authored source SHA-256: d17a3726a9531ad56a817bc94a22f0200baa806232abd05e31238c3b3d0fb2c9

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.conditional_returns_declared_branch' does not depend on any axioms

Source-bound formal statements

conditional_returns_declared_branch · Kernel-verified · axiom-free

{
  "name": "Conditional Determinism",
  "formal": "∀c,t,e: mcbConditional(c,t,e) ∈ {t, e}",
  "proof": "c.state ∈ {+1, -1} maps deterministically to branches",
  "implementation": "mcbConditional(condition, thenBranch, elseBranch): MCBComputationUnit"
}

Universal branch membership for the declared deterministic conditional, over arbitrary result types.

Exact authored source in the timestamped release

{
  "name": "Conditional Determinism",
  "formal": "∀c,t,e: mcbConditional(c,t,e) ∈ {t, e}",
  "proof": "c.state ∈ {+1, -1} maps deterministically to branches",
  "implementation": "mcbConditional(condition, thenBranch, elseBranch): MCBComputationUnit"
}