Theorems · Theorem · general topology

IsUniformEmbedding.prod

∀ {α : Type u} {β : Type v} [inst : UniformSpace α] [inst_1 : UniformSpace β] {α' : Type u_1} {β' : Type u_2}
  [inst_2 : UniformSpace α'] [inst_3 : UniformSpace β'] {e₁ : α → α'} {e₂ : β → β'},
  IsUniformEmbedding e₁ → IsUniformEmbedding e₂ → IsUniformEmbedding fun p => (e₁ p.1, e₂ p.2)

Defined in

Mathlib.Topology.UniformSpace.UniformEmbedding

Cited by

0 results in Mathlib

Foundations

Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

UniformSpaceUniformSpaceUniformSpaceUniformSpace