Theorems · Theorem · combinatorics
Multiset.multinomial_cons
∀ (x : ℕ) (m : Multiset ℕ), (x ::ₘ m).multinomial = (x + m.sum).choose x * m.multinomial
- Defined in
- Mathlib.Data.Nat.Choose.Multinomial
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Multisetstatement and proof · cited by 2,627
- Nat.choosestatement · cited by 494
- Multiset.sumstatement · cited by 388
- Multiset.consstatement · cited by 313
- Multiset.multinomialstatement · cited by 8
- List.multinomial_consproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- Multiset.multinomial_addproof · cited by 1
- Multiset.multinomial_singletonproof · cited by 1
- Multiset.multinomial_posproof · cited by 0