Theorems · Theorem · combinatorics
Finsupp.multinomial_update
∀ {α : Type u_1} (a : α) (f : α →₀ ℕ), f.multinomial = (f.sum fun x => id).choose (f a) * (f.update a 0).multinomial- Defined in
- Mathlib.Data.Nat.Choose.Multinomial
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites23
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Finsetproof · cited by 13,712
- Finsuppstatement and proof · cited by 5,255
- Finset.sumproof · cited by 5,195
- one_mulproof · cited by 2,841
- Finsupp.supportproof · cited by 828
- Nat.choosestatement and proof · cited by 494
- Finsupp.sumstatement and proof · cited by 481
- Finset.eraseproof · cited by 455
- Function.update_of_neproof · cited by 198
- Finset.insert_eraseproof · cited by 65
- Finset.mem_eraseproof · cited by 61
Cited by2
Results whose statement or proof uses this declaration.
- Multiset.countPerms_filter_neproof · cited by 2
- List.multinomial_consproof · cited by 1