Theorems · Theorem · order theory
Set.exists_image_eq_and_injOn
∀ {α : Type u_1} {β : Type u_2} (s : Set α) (f : α → β), ∃ u, f '' u = f '' s ∧ Set.InjOn f u- Defined in
- Mathlib.Data.Set.Function
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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.BijOnproof · cited by 168
- Set.BijOn.injOnproof · cited by 42
- Set.BijOn.image_eqproof · cited by 30
- Set.exists_subset_bijOnproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Set.exists_image_eq_injOn_of_subset_rangeproof · cited by 0