Theorems · Theorem · general topology

Continuous.uniformContinuous_of_tendsto_cocompact

∀ {α : Type u_1} {β : Type u_2} [inst : UniformSpace α] [inst_1 : UniformSpace β] {f : α → β} {x : β},
  Continuous f → Filter.Tendsto f (Filter.cocompact α) (nhds x) → UniformContinuous f

Defined in

Mathlib.Topology.UniformSpace.HeineCantor

Cited by

4 results in Mathlib

Foundations

Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

UniformSpaceUniformSpace