Mathlib Map

Theorems · Definition · group theory

Set.vaddSet

{α : Type u_2} → {β : Type u_3} → [VAdd α β] → VAdd α (Set β)

The translation of set x +ᵥ s is defined as {x +ᵥ y | y ∈ s} in scope Pointwise.

Defined in
Mathlib.Algebra.Group.Pointwise.Set.Scalar
Cited by
403 results in Mathlib
Foundations
Depth 5 from the axioms, rests on 17 definitions · uses no axioms
Assumes
VAdd

Around this declaration

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

Cites4

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

  • Setstatement · cited by 53,352
  • Set.imageproof · cited by 5,609
  • HVAdd.hVAddproof · cited by 1,820
  • VAddstatement and proof · cited by 616

Cited by413

Results whose statement or proof uses this declaration.

Showing the 200 most cited of 413.