Theorems · Theorem · Lie groups

TendstoLocallyUniformly.div

∀ {α : Type u_1} [inst : UniformSpace α] [inst_1 : Group α] [IsUniformGroup α] {ι : Type u_3} {X : Type u_4}
  [inst_3 : TopologicalSpace X] {F G : ι → X → α} {f g : X → α} {l : Filter ι},
  TendstoLocallyUniformly F f l → TendstoLocallyUniformly G g l → TendstoLocallyUniformly (F / G) (f / g) l

Defined in

Mathlib.Topology.Algebra.IsUniformGroup.Basic

Cited by

1 results in Mathlib

Foundations

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

Assumes

UniformSpaceGroupIsUniformGroupTopologicalSpace