Theorems · Theorem · order theory
Disjoint.image
∀ {α : Type u_1} {β : Type u_2} {s t u : Set α} {f : α → β},
Disjoint s t → Set.InjOn f u → s ⊆ u → t ⊆ u → Disjoint (f '' s) (f '' t)- Defined in
- Mathlib.Data.Set.Function
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 57 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
- Disjointstatement and proof · cited by 2,201
- Set.InjOnstatement and proof · cited by 543
- Set.image_emptyproof · cited by 73
- Set.disjoint_iff_inter_eq_emptyproof · cited by 49
- Set.InjOn.image_interproof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- Set.InjOn.image_sdiffproof · cited by 3
- MeasureTheory.lintegral_abs_det_fderiv_le_addHaar_image_aux1proof · cited by 1
- MeasureTheory.measurableSet_range_of_continuous_injectiveproof · cited by 1
- MeasureTheory.lintegral_abs_det_fderiv_le_addHaar_imageproof · cited by 1