Theorems · Theorem · combinatorics
Multiset.prod_toEnumFinset
∀ {α : Type u_1} [inst : DecidableEq α] {β : Type u_3} [inst_1 : CommMonoid β] (m : Multiset α) (f : α → ℕ → β),
∏ x ∈ m.toEnumFinset, f x.1 x.2 = ∏ x, f x.fst ↑x.snd- Defined in
- Mathlib.Data.Multiset.Fintype
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqCommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finset.univstatement and proof · cited by 3,473
- Multisetstatement and proof · cited by 2,627
- Finset.prodstatement and proof · cited by 2,356
- CommMonoidstatement and proof · cited by 2,264
- Multiset.countstatement · cited by 302
- Multiset.ToTypestatement and proof · cited by 30
- Multiset.toEnumFinsetstatement and proof · cited by 24
- Fintype.prod_equivproof · cited by 18
- Finset.prod_coe_sortproof · cited by 9
- Multiset.coeEquivproof · cited by 7
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.