Theorems · Theorem · combinatorics
Multiset.map_eq_singleton
∀ {α : Type u_1} {β : Type v} {f : α → β} {s : Multiset α} {b : β}, Multiset.map f s = {b} ↔ ∃ a, s = {a} ∧ f a = b- Defined in
- Mathlib.Data.Multiset.MapFold
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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.cardproof · cited by 375
- Multiset.card_mapproof · cited by 57
- Multiset.card_singletonproof · cited by 17
- Multiset.mem_singletonproof · cited by 14
- Multiset.map_singletonproof · cited by 8
- Multiset.card_eq_oneproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- KummerDedekind.Ideal.irreducible_map_of_irreducible_minpolyproof · cited by 0