Theorems · Theorem · general topology

equicontinuous_restrict_iff

∀ {ι : Type u_1} {X : Type u_3} {α : Type u_6} [tX : TopologicalSpace X] [uα : UniformSpace α] (F : ι → X → α)
  {S : Set X}, Equicontinuous (S.domRestrict ∘ F) ↔ EquicontinuousOn F S

Defined in

Mathlib.Topology.UniformSpace.Equicontinuity

Cited by

2 results in Mathlib

Foundations

Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceUniformSpace