Theorems · Theorem · general topology

UniformSpace.Completion.extension_coe

∀ {α : Type u_1} [inst : UniformSpace α] {β : Type u_2} [inst_1 : UniformSpace β] {f : α → β} [T0Space β],
  UniformContinuous f → ∀ (a : α), UniformSpace.Completion.extension f ↑a = f a

Defined in

Mathlib.Topology.UniformSpace.Completion

Cited by

8 results in Mathlib

Foundations

Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

UniformSpaceUniformSpaceT0Space