Theorems · Theorem · order theory
Set.BijOn.subset_left
∀ {α : Type u_1} {β : Type u_2} {s : Set α} {t : Set β} {f : α → β} {r : Set α},
Set.BijOn f s t → r ⊆ s → Set.BijOn f r (f '' r)- Defined in
- Mathlib.Data.Set.Function
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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 · cited by 5,609
- Set.BijOnstatement and proof · cited by 168
- Set.InjOn.monoproof · cited by 61
- Set.BijOn.injOnproof · cited by 42
- Set.InjOn.bijOn_imageproof · cited by 20
Cited by1
Results whose statement or proof uses this declaration.
- Set.BijOn.sdiff_singletonproof · cited by 0