Theorems · Theorem · general topology

equicontinuousWithinAt_finite

∀ {ι : Type u_1} {X : Type u_3} {α : Type u_6} [tX : TopologicalSpace X] [uα : UniformSpace α] [Finite ι]
  {F : ι → X → α} {S : Set X} {x₀ : X}, EquicontinuousWithinAt F S x₀ ↔ ∀ (i : ι), ContinuousWithinAt (F i) S x₀

Defined in

Mathlib.Topology.UniformSpace.Equicontinuity

Cited by

1 results in Mathlib

Foundations

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

Assumes

TopologicalSpaceUniformSpaceFinite