Theorems · Theorem · group theory
Multiset.noncommFoldr_coe
∀ {α : Type u_3} {β : Type u_4} (f : α → β → β) (l : List α)
(comm : {x | x ∈ ↑l}.Pairwise fun x y => ∀ (b : β), f x (f y b) = f y (f x b)) (b : β),
Multiset.noncommFoldr f (↑l) comm b = List.foldr f b l- Defined in
- Mathlib.Data.Finset.NoncommProd
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Set.ofPredstatement and proof · cited by 6,101
- Multisetstatement · cited by 2,627
- Set.Pairwisestatement and proof · cited by 321
- Multiset.ofListstatement and proof · cited by 290
- Multiset.noncommFoldrstatement · cited by 5
Cited by3
Results whose statement or proof uses this declaration.
- Multiset.noncommFold_coeproof · cited by 4
- Multiset.noncommFoldr_eq_foldrproof · cited by 0
- Multiset.noncommFoldr_consproof · cited by 0