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Theorems · Theorem · group theory

Set.image2_sub

∀ {α : Type u_2} [inst : Sub α] {s t : Set α}, Set.image2 (fun x1 x2 => x1 - x2) s t = s - t
Defined in
Mathlib.Algebra.Group.Pointwise.Set.Basic
Cited by
1 results in Mathlib
Foundations
Depth 6 from the axioms · uses no axioms
Assumes
Sub
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Around this declaration

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

Cardinal.mk_sub_le · cited by 0Cardinal.mk_sub_leSet · cited by 53352SetSet.image2 · cited by 311Set.image2Set.sub · cited by 136Set.subSet.image2_subCITED BYCITES

Cites3

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.image2statement · cited by 311
  • Set.substatement · cited by 136

Cited by1

Results whose statement or proof uses this declaration.