Theorems · Definition · general topology

Set.Equicontinuous

{X : Type u_3} → {α : Type u_6} → [tX : TopologicalSpace X] → [uα : UniformSpace α] → Set (X → α) → Prop

We say that a set H : Set (X → α) of functions is equicontinuous if the family (↑) : ↥H → (X → α) is equicontinuous.

Defined in

Mathlib.Topology.UniformSpace.Equicontinuity

Cited by

4 results in Mathlib

Foundations

Depth 21 from the axioms · uses propext, Quot.sound

Assumes

TopologicalSpaceUniformSpace