Theorems · Theorem · combinatorics
Multiset.foldr_cons
∀ {α : Type u_1} {β : Type v} (f : α → β → β) [inst : LeftCommutative f] (b : β) (a : α) (s : Multiset α),
Multiset.foldr f b (a ::ₘ s) = f a (Multiset.foldr f b s)- Defined in
- Mathlib.Data.Multiset.MapFold
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext, Quot.sound
- Assumes
- LeftCommutative
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- Multiset.consstatement · cited by 313
- LeftCommutativestatement and proof · cited by 20
- Multiset.foldrstatement · cited by 18
Cited by4
Results whose statement or proof uses this declaration.
- Multiset.prod_consproof · cited by 68
- Multiset.sum_consproof · cited by 45
- Multiset.fold_cons_leftproof · cited by 14
- Multiset.foldr_induction'proof · cited by 2