Theorems · Theorem · Lie groups

TendstoUniformlyOnFilter.fun_sub

∀ {α : Type u_1} {β : Type u_2} [inst : UniformSpace α] [inst_1 : AddGroup α] [IsUniformAddGroup α] {ι : Type u_3}
  {l : Filter ι} {l' : Filter β} {f f' : ι → β → α} {g g' : β → α},
  TendstoUniformlyOnFilter f g l l' →
    TendstoUniformlyOnFilter f' g' l l' →
      TendstoUniformlyOnFilter (fun i i_1 => f i i_1 - f' i i_1) (fun i => g i - g' i) l l'

Eta-expanded form of TendstoUniformlyOnFilter.sub

Defined in

Mathlib.Topology.Algebra.IsUniformGroup.Basic

Cited by

0 results in Mathlib

Foundations

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

Assumes

UniformSpaceAddGroupIsUniformAddGroup