Theorems · Theorem · number theory
Nat.succ_ascFactorial
∀ (n k : ℕ), n * n.succ.ascFactorial k = (n + k) * n.ascFactorial k
- Defined in
- Mathlib.Data.Nat.Factorial.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext
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 by3
Results whose statement or proof uses this declaration.
- ascPochhammer_nat_eval_succproof · cited by 1
- PowerSeries.coeff_iterate_derivativeproof · cited by 1
- Nat.ascFactorial_of_subproof · cited by 0