CompactSpace.uniformContinuous_of_continuous

∀ {α : Type u_1} {β : Type u_2} [inst : UniformSpace α] [inst_1 : UniformSpace β] [CompactSpace α] {f : α → β},
  Continuous f → UniformContinuous f

Heine-Cantor: a continuous function on a compact uniform space is uniformly continuous.

Defined in: Mathlib.Topology.UniformSpace.HeineCantor
Cited by: 5 results in Mathlib
Foundations: Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: UniformSpace UniformSpace CompactSpace

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