Theorems · Theorem · general topology

IsUniformInducing.uniformContinuousOn_iff

∀ {α : Type u} {β : Type v} {γ : Type w} [inst : UniformSpace α] [inst_1 : UniformSpace β] [inst_2 : UniformSpace γ]
  {f : α → β} {g : β → γ} {S : Set α}, IsUniformInducing g → (UniformContinuousOn f S ↔ UniformContinuousOn (g ∘ f) S)

Defined in

Mathlib.Topology.UniformSpace.UniformEmbedding

Cited by

1 results in Mathlib

Foundations

Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

UniformSpaceUniformSpaceUniformSpace