Theorems · Theorem · combinatorics
Nat.choose_zero_right
∀ (n : ℕ), n.choose 0 = 1
- Defined in
- Mathlib.Data.Nat.Choose.Basic
- Cited by
- 55 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses no axioms
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 and proof · cited by 494
Cited by55
Results whose statement or proof uses this declaration.
- Nat.choose_one_rightproof · cited by 29
- Commute.add_powproof · cited by 12
- bernoulli'_twoproof · cited by 5
- Nat.choose_mul_succ_eqproof · cited by 4
- hasSum_choose_mul_geometric_of_norm_lt_one'proof · cited by 4
- Polynomial.iterate_derivative_mulproof · cited by 4
- Polynomial.bernoulli_eval_zeroproof · cited by 3
- Commute.add_pow_prime_pow_eq'proof · cited by 3
- Finset.lubell_yamamoto_meshalkin_inequality_sum_card_div_chooseproof · cited by 2
- Finsupp.multinomial_updateproof · cited by 2
- Polynomial.bernoulli_comp_one_add_Xproof · cited by 2
- sum_bernoulliproof · cited by 2