Theorems · Theorem · combinatorics
catalan_succ
∀ (n : ℕ), catalan (n + 1) = ∑ i, catalan ↑i * catalan (n - ↑i)
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finset.sumstatement and proof · cited by 5,195
- Finset.univstatement and proof · cited by 3,473
- catalanstatement and proof · cited by 13
Cited by3
Results whose statement or proof uses this declaration.
- catalan_eq_centralBinom_divproof · cited by 3
- catalan_succ'proof · cited by 2
- catalan_oneproof · cited by 0