Theorems · Theorem · combinatorics
Nat.choose_succ_self
∀ (n : ℕ), n.choose n.succ = 0
- Defined in
- Mathlib.Data.Nat.Choose.Basic
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses no axioms
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.choosestatement · cited by 494
- Nat.choose_eq_zero_of_ltproof · cited by 35
Cited by11
Results whose statement or proof uses this declaration.
- Commute.add_powproof · cited by 12
- Polynomial.iterate_derivative_mulproof · cited by 4
- Finset.sum_choose_succ_nsmulproof · cited by 2
- Nat.ascFactorial_eq_factorial_mul_choose'proof · cited by 2
- Int.alternating_sum_range_chooseproof · cited by 2
- Finset.card_succ_choose_two_lt_card_subsetSum_of_posproof · cited by 1
- Finset.prod_pow_choose_succproof · cited by 1
- iteratedDerivWithin_smulproof · cited by 1
- Nat.stirlingFirst_succ_self_leftproof · cited by 0
- Nat.stirlingSecond_succ_self_leftproof · cited by 0
- Sym2.natCardproof · cited by 0