Theorems · Definition · combinatorics
Nat.centralBinom
ℕ → ℕ
The central binomial coefficient, Nat.choose (2 * n) n.
- Defined in
- Mathlib.Data.Nat.Choose.Central
- Cited by
- 24 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.chooseproof · cited by 494
Cited by24
Results whose statement or proof uses this declaration.
- catalan_eq_centralBinom_divstatement and proof · cited by 3
- Nat.two_dvd_centralBinom_succstatement · cited by 2
- Nat.succ_dvd_centralBinomstatement and proof · cited by 2
- Nat.four_pow_lt_mul_centralBinomstatement and proof · cited by 2
- Nat.centralBinom_eq_two_mul_choosestatement · cited by 2
- Nat.succ_mul_centralBinom_succstatement · cited by 2
- centralBinom_factorization_smallstatement and proof · cited by 1
- centralBinom_le_of_no_bertrand_primestatement and proof · cited by 1
- Nat.choose_le_centralBinomstatement · cited by 1
- Nat.exists_prime_lt_and_le_two_mul_eventuallyproof · cited by 1
- Nat.factorization_centralBinom_eq_zero_of_two_mul_ltstatement · cited by 1
- Nat.factorization_centralBinom_of_two_mul_self_lt_three_mulstatement · cited by 1