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Theorems · Theorem · order theory

Disjoint.of_image

∀ {α : Type u_1} {β : Type u_2} {f : α → β} {s t : Set α}, Disjoint (f '' s) (f '' t) → Disjoint s t
Defined in
Mathlib.Data.Set.Image
Cited by
2 results in Mathlib
Foundations
Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Set.disjoint_image_iff · cited by 6Set.disjoint_image_iffLinearIndepOn.union · cited by 5LinearIndepOn.unionSet · cited by 53352SetSet.image · cited by 5609Set.imageDisjoint · cited by 2201DisjointSet.mem_image_of_mem · cited by 371Set.mem_image_of_memSet.disjoint_left · cited by 121Set.disjoint_leftdisjoint_iff_inf_le · cited by 64disjoint_iff_inf_leDisjoint.of_imageCITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.