Theorems · Theorem · order theory
Set.disjoint_image_of_injective
∀ {α : Type u_1} {β : Type u_2} {f : α → β},
Function.Injective f → ∀ {s t : Set α}, Disjoint s t → Disjoint (f '' s) (f '' t)- Defined in
- Mathlib.Data.Set.Image
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 58 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 · cited by 5,609
- Disjointstatement and proof · cited by 2,201
- Set.disjoint_iffproof · cited by 27
- Set.disjoint_image_imageproof · cited by 3
Cited by9
Results whose statement or proof uses this declaration.
- Set.disjoint_image_iffproof · cited by 6
- Topology.IsClosedEmbedding.normalSpaceproof · cited by 2
- MulAction.IsBlock.imageproof · cited by 1
- AddAction.IsBlock.imageproof · cited by 1
- Set.Infinite.exists_union_disjoint_cardinal_eq_of_infiniteproof · cited by 1
- MulAction.IsBlock.of_subgroup_of_conjugateproof · cited by 1
- AddAction.IsBlock.of_addSubgroup_of_conjugateproof · cited by 1
- BoundedContinuousFunction.tietze_extension_stepproof · cited by 1
- separated_by_isOpenEmbeddingproof · cited by 0