Theorems · Theorem · number theory
Nat.add_descFactorial_eq_ascFactorial
∀ (n k : ℕ), (n + k).descFactorial k = (n + 1).ascFactorial k
- Defined in
- Mathlib.Data.Nat.Factorial.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext
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.descFactorialstatement · cited by 68
- Nat.ascFactorialstatement · cited by 41
Cited by2
Results whose statement or proof uses this declaration.
- Polynomial.aeval_iterate_derivative_of_geproof · cited by 2
- descPochhammer_int_eq_ascFactorialproof · cited by 0