Theorems · Theorem · general topology

IsUniformInducing.of_comp

∀ {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}, UniformContinuous f → UniformContinuous g → IsUniformInducing (g ∘ f) → IsUniformInducing f

Defined in

Mathlib.Topology.UniformSpace.UniformEmbedding

Cited by

5 results in Mathlib

Foundations

Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

UniformSpaceUniformSpaceUniformSpace