Theorems · Theorem · combinatorics
Multiset.inj_on_of_nodup_map
∀ {α : Type u_1} {β : Type v} {f : α → β} {s : Multiset α},
(Multiset.map f s).Nodup → ∀ x ∈ s, ∀ y ∈ s, f x = f y → x = y- Defined in
- Mathlib.Data.Multiset.MapFold
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, 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.
- Multisetstatement and proof · cited by 2,627
- Multiset.mapstatement · cited by 876
- Multiset.Nodupstatement · cited by 148
- Quot.induction_onproof · cited by 36
- List.inj_on_of_nodup_mapproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- Multiset.nodup_map_iff_inj_onproof · cited by 5
- Finset.injOn_of_card_image_eqproof · cited by 2
- Multiset.bijective_iff_map_univ_eq_univproof · cited by 0