Theorems · Theorem · order theory
Set.range_sdiff_image
∀ {α : Type u_1} {β : Type u_2} {f : α → β}, Function.Injective f → ∀ (s : Set α), Set.range f \ f '' s = f '' sᶜAlias of Set.image_compl_eq_range_sdiff_image.
- Defined in
- Mathlib.Data.Set.Image
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 62 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.rangestatement and proof · cited by 4,705
- Compl.complstatement · cited by 2,925
- Set.image_compl_eq_range_sdiff_imageproof · cited by 2
Cited by5
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.MeasurableSet.nullMeasurableSet_subtype_coeproof · cited by 4
- Topology.IsConstructible.image_of_isOpenEmbeddingproof · cited by 2
- IsRetrocompact.preimage_of_isClosedEmbeddingproof · cited by 1
- Topology.IsConstructible.image_of_isClosedEmbeddingproof · cited by 1
- Set.range_diff_imageproof · cited by 0