Theorems · Theorem · Lie groups

TendstoUniformlyOn.add

∀ {α : Type u_1} {β : Type u_2} [inst : UniformSpace α] [inst_1 : AddGroup α] [IsUniformAddGroup α] {ι : Type u_3}
  {l : Filter ι} {f f' : ι → β → α} {g g' : β → α} {s : Set β},
  TendstoUniformlyOn f g l s → TendstoUniformlyOn f' g' l s → TendstoUniformlyOn (f + f') (g + g') l s

Defined in

Mathlib.Topology.Algebra.IsUniformGroup.Basic

Cited by

2 results in Mathlib

Foundations

Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

UniformSpaceAddGroupIsUniformAddGroup