Theorems · Theorem · combinatorics
Finset.image_val_of_injOn
∀ {α : Type u_1} {β : Type u_2} [inst : DecidableEq β] {f : α → β} {s : Finset α},
Set.InjOn f ↑s → (Finset.image f s).val = Multiset.map f s.val- Defined in
- Mathlib.Data.Finset.Image
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 74 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.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- SetLike.coestatement and proof · cited by 8,199
- Multisetstatement · cited by 2,627
- Finset.imagestatement · cited by 910
- Multiset.mapstatement · cited by 876
- Set.InjOnstatement and proof · cited by 543
- Finset.valstatement · cited by 438
- Finset.nodupproof · cited by 40
- Multiset.Nodup.dedupproof · cited by 15
- Multiset.Nodup.map_onproof · cited by 5
Cited by3
Results whose statement or proof uses this declaration.
- Finset.card_image_of_injOnproof · cited by 36
- IsPrimitiveRoot.nthRoots_eqproof · cited by 3
- Finset.fold_imageproof · cited by 2