Theorems · Theorem · general topology

tendstoUniformlyOn_iff_tendstoUniformly_comp_coe

∀ {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}, TendstoUniformlyOn F f p s ↔ TendstoUniformly (fun i x => F i ↑x) (f ∘ Subtype.val) p

Defined in

Mathlib.Topology.UniformSpace.UniformConvergence

Cited by

3 results in Mathlib

Foundations

Depth 7 from the axioms · uses propext, Quot.sound

Assumes

UniformSpace