Theorems · Theorem · general topology

TendstoLocallyUniformly.comp

∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} {ι : Type u_4} [inst : TopologicalSpace α] [inst_1 : UniformSpace β]
  {F : ι → α → β} {f : α → β} {p : Filter ι} [inst_2 : TopologicalSpace γ],
  TendstoLocallyUniformly F f p → ∀ (g : γ → α), Continuous g → TendstoLocallyUniformly (fun n => F n ∘ g) (f ∘ g) p

Defined in

Mathlib.Topology.UniformSpace.LocallyUniformConvergence

Cited by

0 results in Mathlib

Foundations

Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceUniformSpaceTopologicalSpace