Theorems · Theorem · combinatorics
Nat.choose_ne_zero
∀ {n k : ℕ}, k ≤ n → n.choose k ≠ 0- Defined in
- Mathlib.Data.Nat.Choose.Basic
- Cited by
- 4 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.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LT.lt.ne'proof · cited by 1,417
- Nat.choosestatement · cited by 494
- Nat.choose_posproof · cited by 16
Cited by4
Results whose statement or proof uses this declaration.
- Nat.prod_pow_factorization_chooseproof · cited by 1
- Chebyshev.choose_dvd_lcmUptoproof · cited by 1
- padicValNat_chooseproof · cited by 0
- padicValNat_choose'proof · cited by 0