Theorems · Theorem · logic and foundations
Set.InjOn.encard_image
∀ {α : Type u_1} {β : Type u_2} {s : Set α} {f : α → β}, Set.InjOn f s → (f '' s).encard = s.encard- Defined in
- Mathlib.Data.Set.Card
- Cited by
- 13 results in Mathlib
- Foundations
- Depth 94 from the axioms · uses propext, Classical.choice, 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.
- Setstatement and proof · cited by 53,352
- Set.Elemproof · cited by 7,166
- Set.imagestatement and proof · cited by 5,609
- ENatstatement and proof · cited by 4,985
- Set.InjOnstatement and proof · cited by 543
- Set.encardstatement and proof · cited by 327
- ENat.cardproof · cited by 89
- ENat.card_image_of_injOnproof · cited by 2
Cited by13
Results whose statement or proof uses this declaration.
- Function.Injective.encard_imageproof · cited by 14
- Set.InjOn.ncard_imageproof · cited by 7
- Set.encard_image_leproof · cited by 2
- Set.encard_le_encard_of_injOnproof · cited by 1
- Isometry.coveringNumber_image'proof · cited by 1
- Set.Finite.injOn_of_encard_image_eqproof · cited by 1
- Set.Finite.exists_bijOn_of_encard_eqproof · cited by 0
- Matroid.eRk_comapproof · cited by 0
- toENat_rank_span_setproof · cited by 0
- Matroid.eRk_mapproof · cited by 0
- MulAction.isMultiplyPreprimitive_congrproof · cited by 0
- AddAction.isMultiplyPreprimitive_congrproof · cited by 0