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Theorems · Theorem · group theory

Set.image2_vadd

∀ {α : Type u_2} {β : Type u_3} [inst : VAdd α β] {s : Set α} {t : Set β},
  Set.image2 (fun x1 x2 => x1 +ᵥ x2) s t = s +ᵥ t
Defined in
Mathlib.Algebra.Group.Pointwise.Set.Scalar
Cited by
1 results in Mathlib
Foundations
Depth 6 from the axioms · uses no axioms
Assumes
VAdd

Around this declaration

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

Cites5

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
  • HVAdd.hVAddstatement · cited by 1,820
  • VAddstatement and proof · cited by 616
  • Set.image2statement · cited by 311
  • Set.vaddstatement · cited by 72

Cited by1

Results whose statement or proof uses this declaration.