Theorems · Theorem · order theory
Set.InjOn.image_sdiff_subset
∀ {α : Type u_1} {β : Type u_2} {s : Set α} {f : α → β} {t : Set α},
Set.InjOn f s → t ⊆ s → f '' (s \ t) = f '' s \ f '' t- Defined in
- Mathlib.Data.Set.Function
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- Set.InjOnstatement and proof · cited by 543
- Set.inter_eq_self_of_subset_rightproof · cited by 39
- Set.InjOn.image_sdiffproof · cited by 3
Cited by5
Results whose statement or proof uses this declaration.
- Set.image_sdiff_of_injOnproof · cited by 2
- IsTranscendenceBasis.of_isAlgebraic_adjoin_insert_sdiffproof · cited by 2
- Matroid.comapOn_dual_eq_of_bijOnproof · cited by 1
- Matroid.map_dualproof · cited by 1
- Set.InjOn.image_diff_subsetproof · cited by 0