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Theorems · Theorem · order theory

Set.image_sdiff_subset

∀ {α : Type u_1} {β : Type u_2} (f : α → β) (s t : Set α), f '' (s \ t) ⊆ f '' s ∩ f '' tᶜ
Defined in
Mathlib.Data.Set.Image
Cited by
2 results in Mathlib
Foundations
Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound
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Dashed lines are statement dependencies; solid lines are citations in proofs.

Set.image_sdiff · cited by 24Set.image_sdiffSet.image_diff_subset · cited by 0Set.image_diff_subsetSet · cited by 53352SetSet.image · cited by 5609Set.imageCompl.compl · cited by 2925Compl.complSet.image_inter_subset · cited by 7Set.image_inter_subsetSet.image_sdiff_subsetCITED BYCITES

Cites4

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.