Theorems · Theorem · combinatorics
Multiset.erase_attach_map
∀ {α : Type u_1} {β : Type v} [inst : DecidableEq α] (s : Multiset α) (f : α → β) (x : { x // x ∈ s }),
Multiset.map (fun j => f ↑j) (s.attach.erase x) = Multiset.map f (s.erase ↑x)- Defined in
- Mathlib.Data.Multiset.MapFold
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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.mapstatement and proof · cited by 876
- Multiset.map_congrproof · cited by 232
- Multiset.map_mapproof · cited by 151
- Multiset.erasestatement and proof · cited by 93
- Multiset.attachstatement and proof · cited by 31
- Multiset.erase_attach_map_valproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- HasFDerivAt.multiset_prodproof · cited by 1
- HasFDerivWithinAt.multiset_prodproof · cited by 1
- HasStrictFDerivAt.multiset_prodproof · cited by 0