Set.add

{α : Type u_2} → [Add α] → Add (Set α)

The pointwise addition of sets s + t is defined as {x + y | x ∈ s, y ∈ t} in locale Pointwise.

Defined in: Mathlib.Algebra.Group.Pointwise.Set.Basic
Cited by: 338 results in Mathlib
Foundations: Depth 5 from the axioms, rests on 17 definitions · uses no axioms
Assumes: Add

Around this declaration

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

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

Results whose statement or proof uses this declaration.

Showing the 200 most cited of 351.