Theorems · Theorem · general topology

equicontinuousWithinAt_univ

∀ {ι : Type u_1} {X : Type u_3} {α : Type u_6} [tX : TopologicalSpace X] [uα : UniformSpace α] (F : ι → X → α) (x₀ : X),
  EquicontinuousWithinAt F Set.univ x₀ ↔ EquicontinuousAt F x₀

Defined in

Mathlib.Topology.UniformSpace.Equicontinuity

Cited by

4 results in Mathlib

Foundations

Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceUniformSpace