Theorems · Theorem · combinatorics
Nat.choose_pos
∀ {n k : ℕ}, k ≤ n → 0 < n.choose k- Defined in
- Mathlib.Data.Nat.Choose.Basic
- Cited by
- 16 results in Mathlib
- Foundations
- Depth 18 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.choosestatement · cited by 494
Cited by16
Results whose statement or proof uses this declaration.
- Complex.exp_addproof · cited by 55
- Nat.choose_eq_zero_iffproof · cited by 4
- Nat.choose_ne_zeroproof · cited by 4
- SimpleGraph.antitoneOn_extremalNumber_div_choose_twoproof · cited by 3
- Nat.Prime.emultiplicity_choose_prime_powproof · cited by 2
- Finset.local_lubell_yamamoto_meshalkin_inequality_divproof · cited by 2
- Nat.factorization_le_factorization_choose_addproof · cited by 1
- Polynomial.degree_shiftedLegendreproof · cited by 1
- IsNonarchimedean.multiset_powerset_image_addproof · cited by 1
- SimpleGraph.eventually_isContained_of_card_edgeFinsetproof · cited by 1
- Nat.factorization_choose'proof · cited by 1
- Polynomial.coeff_bdd_of_roots_leproof · cited by 1