Theorems · Theorem · Lie groups

UniformContinuous.add

∀ {α : Type u_1} {β : Type u_2} [inst : UniformSpace α] [inst_1 : AddGroup α] [IsUniformAddGroup α]
  [inst_3 : UniformSpace β] {f g : β → α},
  UniformContinuous f → UniformContinuous g → UniformContinuous fun x => f x + g x

Defined in

Mathlib.Topology.Algebra.IsUniformGroup.Defs

Cited by

7 results in Mathlib

Foundations

Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

UniformSpaceAddGroupIsUniformAddGroupUniformSpace