Theorems · Theorem · general topology

TendstoUniformlyOnFilter.congr_inseparable

∀ {α : Type u_1} {β : Type u_2} {ι : Type u_4} [inst : UniformSpace β] {F : ι → α → β} {f : α → β} {p : Filter ι}
  {p' : Filter α} {F' : ι → α → β},
  TendstoUniformlyOnFilter F f p p' →
    (∀ᶠ (n : ι × α) in p ×ˢ p', Inseparable (F n.1 n.2) (F' n.1 n.2)) → TendstoUniformlyOnFilter F' f p p'

Defined in

Mathlib.Topology.UniformSpace.UniformConvergence

Cited by

2 results in Mathlib

Foundations

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

Assumes

UniformSpace