Theorems · Theorem · number theory
Nat.one_ascFactorial
∀ (k : ℕ), Nat.ascFactorial 1 k = k.factorial
- Defined in
- Mathlib.Data.Nat.Factorial.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Nat.factorialstatement · cited by 616
- Nat.ascFactorialstatement · cited by 41
Cited by4
Results whose statement or proof uses this declaration.
- Nat.cast_factorialproof · cited by 0
- Nat.factorial_eq_factorialBinarySplittingproof · cited by 0
- PowerSeries.constantCoeff_iterate_derivativeproof · cited by 0
- ascPochhammer_eval_oneproof · cited by 0