Theorems · Theorem · order theory
Set.image_compl_eq_range_sdiff_image
∀ {α : Type u_1} {β : Type u_2} {f : α → β}, Function.Injective f → ∀ (s : Set α), f '' sᶜ = Set.range f \ f '' s- Defined in
- Mathlib.Data.Set.Image
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 61 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.imagestatement and proof · cited by 5,609
- Set.rangestatement · cited by 4,705
- Set.univproof · cited by 3,945
- Compl.complstatement and proof · cited by 2,925
- Set.image_univproof · cited by 322
- Set.compl_eq_univ_sdiffproof · cited by 43
- Set.image_sdiffproof · cited by 24
Cited by2
Results whose statement or proof uses this declaration.
- Set.range_sdiff_imageproof · cited by 5
- Set.image_compl_eq_range_diff_imageproof · cited by 0