Mathlib v4.30 source proposition Nat.factorial_pos

Identifier: F:ml430-nat-factorial-pos-f1dd2405
Proof route: kernel-lean
External status: proved
Axiom footprint: Empty

Recorded description

The proposition declared as `Nat.factorial_pos` in the pinned Mathlib v4.30 source.

Formal statement

∀ (n : ℕ), 0 < n.factorial

Dependencies

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0 direct dependencies 3 direct dependents

Evidence

reconciliation-Nat.one_le_factorial

Kind: kernel-term
Status: checked

Supports: ∀ (n : ℕ), 0 < n.factorial

Evidence notes

Registers an independently constructed native theorem whose proposition definitionally matches this proof-free imported goal. No Autogenesis operation produced the theorem.

Provenance

{
  "date": "2026-08-18",
  "established_by": "non-autonomous reconciliation with native fact F:nat-one-le-factorial",
  "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 `Nat.factorial_pos`",
      "where": "mathlib4 commit c5ea00351c28e24afc9f0f84379aa41082b1188f (v4.30.0)",
      "who": "the Mathlib contributors",
      "year": 2026
    }
  ],
  "source": "statement-only extraction of `Nat.factorial_pos` from Mathlib v4.30.0; no proof value was exposed"
}