Theorems · Theorem · number theory
Nat.ascFactorial_succ
∀ {n k : ℕ}, n.ascFactorial k.succ = (n + k) * n.ascFactorial k- Defined in
- Mathlib.Data.Nat.Factorial.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Nat.ascFactorialstatement · cited by 41
Cited by4
Results whose statement or proof uses this declaration.
- numDerangements_sumproof · cited by 1
- PowerSeries.coeff_iterate_derivativeproof · cited by 1
- Nat.ascFactorial_lt_pow_addproof · cited by 0
- Nat.ascFactorial_of_subproof · cited by 0