Theorems · Theorem · general topology

uniformEquicontinuousOn_finite

∀ {ι : Type u_1} {α : Type u_6} {β : Type u_8} [uα : UniformSpace α] [uβ : UniformSpace β] [Finite ι] {F : ι → β → α}
  {S : Set β}, UniformEquicontinuousOn F S ↔ ∀ (i : ι), UniformContinuousOn (F i) S

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

UniformSpaceUniformSpaceFinite