Theorems · Theorem · combinatorics
Multiset.foldr_swap
∀ {α : Type u_1} {β : Type v} (f : α → β → β) [inst : LeftCommutative f] (b : β) (s : Multiset α),
Multiset.foldr f b s = Multiset.foldl (fun x y => f y x) b s- Defined in
- Mathlib.Data.Multiset.MapFold
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Quot.sound
- Assumes
- LeftCommutative
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- LeftCommutativestatement and proof · cited by 20
- Multiset.foldrstatement · cited by 18
- Multiset.foldlstatement · cited by 13
- Multiset.coe_foldr_swapproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- Multiset.foldl_swapproof · cited by 1
- Multiset.prod_eq_foldlproof · cited by 0
- Multiset.sum_eq_foldlproof · cited by 0