Theorems · Theorem · Lie groups

TendstoUniformlyOn.fun_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 (fun i i_1 => f i i_1 + f' i i_1) (fun i => g i + g' i) l s

Eta-expanded form of TendstoUniformlyOn.add

Defined in

Mathlib.Topology.Algebra.IsUniformGroup.Basic

Cited by

0 results in Mathlib

Foundations

Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

UniformSpaceAddGroupIsUniformAddGroup