Theorems · Theorem · order theory
Set.image_sdiff
∀ {α : Type u_1} {β : Type u_2} {f : α → β}, Function.Injective f → ∀ (s t : Set α), f '' (s \ t) = f '' s \ f '' t- Defined in
- Mathlib.Data.Set.Image
- Cited by
- 24 results in Mathlib
- Foundations
- Depth 60 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.Subset.transproof · cited by 218
- Set.Subset.antisymmproof · cited by 213
- Set.inter_subset_inter_rightproof · cited by 26
- Set.image_sdiff_subsetproof · cited by 2
- Set.image_compl_subsetproof · cited by 2
Cited by24
Results whose statement or proof uses this declaration.
- Set.vadd_set_sdiffproof · cited by 6
- Set.smul_set_sdiffproof · cited by 5
- Set.image_update_Icoproof · cited by 5
- Set.image_update_Iooproof · cited by 4
- Set.image_update_Iocproof · cited by 4
- Set.image_symmDiffproof · cited by 4
- Finset.image_sdiffproof · cited by 3
- intrinsicClosure_sdiff_intrinsicFrontierproof · cited by 2
- intrinsicClosure_sdiff_intrinsicInteriorproof · cited by 2
- Set.image_val_sdiffproof · cited by 2
- Set.image_compl_eq_range_sdiff_imageproof · cited by 2
- linearIndependent_set_iff_affineIndependent_vadd_union_singletonproof · cited by 2