Theorems · Theorem · combinatorics
List.multinomial_cons
∀ (x : ℕ) (l : List ℕ), (x :: l).multinomial = (x + l.sum).choose x * l.multinomial
- Defined in
- Mathlib.Data.Nat.Choose.Multinomial
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites37
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Finset.sumproof · cited by 5,195
- zero_addproof · cited by 2,366
- Finset.prodproof · cited by 2,356
- Finset.sum_congrproof · cited by 2,323
- Function.Embeddingproof · cited by 988
- Finsupp.singleproof · cited by 943
- Finsupp.supportproof · cited by 828
- Finset.mapproof · cited by 747
- Finset.prod_congrproof · cited by 646
- Nat.factorialproof · cited by 616
- Function.updateproof · cited by 502
Cited by1
Results whose statement or proof uses this declaration.
- Multiset.multinomial_consproof · cited by 3