Mathlib Map

Theorems · Theorem · order theory

Set.image_val_sdiff

∀ {α : Type u_2} {A : Set α} {D E : Set ↑A}, Subtype.val '' (D \ E) = Subtype.val '' D \ Subtype.val '' E
Defined in
Mathlib.Data.Set.Subset
Cited by
2 results in Mathlib
Foundations
Depth 61 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.image_val_compl · cited by 1Set.image_val_complSet.image_val_diff · cited by 0Set.image_val_diffSet · cited by 53352SetSet.Elem · cited by 7166Set.ElemSet.image · cited by 5609Set.imageSubtype.val_injective · cited by 232Subtype.val_injectiveSet.image_sdiff · cited by 24Set.image_sdiffSet.image_val_sdiffCITED BYCITES

Cites5

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.