Theorems · Theorem · combinatorics
Finset.injOn_of_card_image_eq
∀ {α : Type u_1} {β : Type u_2} {s : Finset α} {f : α → β} [inst : DecidableEq β],
(Finset.image f s).card = s.card → Set.InjOn f ↑s- Defined in
- Mathlib.Data.Finset.Card
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 75 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.
Cites15
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 · cited by 8,199
- Finset.cardstatement and proof · cited by 2,327
- Finset.imagestatement and proof · cited by 910
- Multiset.mapproof · cited by 876
- Set.InjOnstatement · cited by 543
- Finset.valproof · cited by 438
- Multiset.cardproof · cited by 375
- Multiset.dedupproof · cited by 59
- Multiset.card_mapproof · cited by 57
- Multiset.eq_of_le_of_card_leproof · cited by 11
- Multiset.dedup_eq_selfproof · cited by 9
Cited by2
Results whose statement or proof uses this declaration.
- Finset.card_image_iffproof · cited by 4
- Equiv.Perm.prod_Iio_comp_eq_sign_mul_prodproof · cited by 1