Theorems · Theorem · general topology

TendstoUniformlyOn.congr_inseparable_right

∀ {α : Type u_1} {β : Type u_2} {ι : Type u_4} [inst : UniformSpace β] {F : ι → α → β} {f : α → β} {s : Set α}
  {p : Filter ι} {g : α → β},
  TendstoUniformlyOn F f p s → (∀ x ∈ s, Inseparable (f x) (g x)) → TendstoUniformlyOn F g p s

Defined in

Mathlib.Topology.UniformSpace.UniformConvergence

Cited by

3 results in Mathlib

Foundations

Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

UniformSpace