Theorems · Theorem · combinatorics
Finset.card_image_of_injOn
∀ {α : Type u_1} {β : Type u_2} {s : Finset α} {f : α → β} [inst : DecidableEq β],
Set.InjOn f ↑s → (Finset.image f s).card = s.card- Defined in
- Mathlib.Data.Finset.Card
- Cited by
- 36 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.
Cites9
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
- Finset.cardstatement · cited by 2,327
- Finset.imagestatement · cited by 910
- Set.InjOnstatement and proof · cited by 543
- Finset.valproof · cited by 438
- Multiset.cardproof · cited by 375
- Multiset.card_mapproof · cited by 57
- Finset.image_val_of_injOnproof · cited by 3
Cited by36
Results whose statement or proof uses this declaration.
- Finset.card_image_of_injectiveproof · cited by 41
- Finset.card_le_card_of_injOnproof · cited by 16
- Finset.card_image_iffproof · cited by 4
- Finset.card_memberSubfamily_add_card_nonMemberSubfamilyproof · cited by 2
- Polynomial.Chebyshev.roots_T_realproof · cited by 2
- Polynomial.Chebyshev.roots_U_realproof · cited by 2
- Polynomial.Chebyshev.sumNodes_eq_sumNodes_T_iffproof · cited by 2
- Set.card_image_of_inj_onproof · cited by 2
- IsAddFreimanHom.addRothNumber_monoproof · cited by 2
- Finset.local_lubell_yamamoto_meshalkin_inequality_mulproof · cited by 2
- Finset.expect_imageproof · cited by 2
- Subgroup.rank_closure_finset_le_cardproof · cited by 1