Theorems · Theorem · order theory
Set.InjOn.image_sdiff
∀ {α : Type u_1} {β : Type u_2} {s : Set α} {f : α → β} {t : Set α},
Set.InjOn f s → f '' (s \ t) = f '' s \ f '' (s ∩ t)- Defined in
- Mathlib.Data.Set.Function
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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.imagestatement and proof · cited by 5,609
- le_reflproof · cited by 2,061
- Set.InjOnstatement and proof · cited by 543
- Set.inter_subset_leftproof · cited by 360
- Set.image_monoproof · cited by 197
- Set.sdiff_subsetproof · cited by 156
- subset_antisymmproof · cited by 150
- Set.image_unionproof · cited by 48
- Set.subset_sdiffproof · cited by 29
- Set.inter_union_sdiffproof · cited by 23
- Set.sdiff_subset_iffproof · cited by 15
Cited by3
Results whose statement or proof uses this declaration.
- Set.InjOn.image_sdiff_subsetproof · cited by 5
- Set.InjOn.image_diffproof · cited by 0
- Set.BijOn.sdiff_singletonproof · cited by 0