Mathlib v4.30 source proposition Int.gcd_fib

Identifier: F:ml430-int-gcd-fib-73bdafc2
Proof route: kernel-lean
External status: proved
Axiom footprint: Empty

Recorded description

The proposition declared as `Int.gcd_fib` in the pinned Mathlib v4.30 source.

Formal statement

∀ (m n : ℤ), (Int.fib m).gcd (Int.fib n) = Nat.fib (m.gcd n)

Dependencies

The graph shows direct ledger edges. Follow a node to open its artifact page.

2 direct dependencies 1 direct dependents

Evidence

autogenesis-operation-3a12c505e2ff0c0b

Kind: kernel-term
Status: checked

Supports: The proposition declared as `Int.gcd_fib` in the pinned Mathlib v4.30 source.

Checker command

python3 scripts/check-autogenesis-fact-operation.py --fact artifacts/facts/F-ml430-int-gcd-fib-73bdafc2.json

Evidence notes

Derived from a clean-commit typed execution receipt. The registered fact-operation checker replays the immutable capsule and committed identity manifest and requires its exact theorem identity, two fresh imports, empty axiom footprint, and five named direct theorem dependencies; no caller-authored route, footprint, checker, or shell command is accepted.

Provenance

{
  "date": "2026-08-18",
  "established_by": "axeyum-autogenesis execution b89c2e2dea31d5b25663b864302f46cde249e70998ccb92ae68b8e91c94f1205",
  "prior_art": [
    {
      "attribution": "the proposition was read from the pinned statement-only inventory; the proof term and tactic trace were not consulted",
      "what": "the theorem declaration `Int.gcd_fib`",
      "where": "mathlib4 commit c5ea00351c28e24afc9f0f84379aa41082b1188f (v4.30.0)",
      "who": "the Mathlib contributors",
      "year": 2026
    }
  ],
  "source": "statement-only extraction of `Int.gcd_fib` from Mathlib v4.30.0; no proof value was exposed"
}