Theorems · Theorem · combinatorics
catalan_eq_centralBinom_div
∀ (n : ℕ), catalan n = n.centralBinom / (n + 1)
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites22
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetproof · cited by 13,712
- AddCommMonoidproof · cited by 12,281
- Finset.sumproof · cited by 5,195
- Finset.univproof · cited by 3,473
- Nat.cast_oneproof · cited by 2,501
- zero_addproof · cited by 2,366
- Finset.sum_congrproof · cited by 2,323
- Nat.cast_zeroproof · cited by 1,870
- Int.cast_natCastproof · cited by 393
- Nat.cast_mulproof · cited by 309
- div_selfproof · cited by 237
- Nat.cast_sumproof · cited by 38
Cited by3
Results whose statement or proof uses this declaration.
- succ_mul_catalan_eq_centralBinomproof · cited by 0
- catalan_threeproof · cited by 0
- catalan_twoproof · cited by 0