Theorems · Theorem · combinatorics
Nat.factorial_dvd_descFactorial
∀ (n k : ℕ), k.factorial ∣ n.descFactorial k
- Defined in
- Mathlib.Data.Nat.Choose.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 55 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Nat.factorialstatement · cited by 616
- Nat.chooseproof · cited by 494
- Nat.descFactorialstatement · cited by 68
- Nat.descFactorial_eq_factorial_mul_chooseproof · cited by 12
Cited by2
Results whose statement or proof uses this declaration.
- isEquivalent_chooseproof · cited by 2
- Nat.Prime.coprime_choose_of_ltproof · cited by 0