Theorems · Theorem · general topology

IsUniformInducing.of_comp_iff

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

Defined in

Mathlib.Topology.UniformSpace.UniformEmbedding

Cited by

10 results in Mathlib

Foundations

Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

UniformSpaceUniformSpaceUniformSpace