Theorems · Theorem · general topology

BoundedContinuousFunction.dist_set_exists

∀ {α : Type u} {β : Type v} [inst : TopologicalSpace α] [inst_1 : PseudoMetricSpace β]
  {f g : BoundedContinuousFunction α β}, ∃ C, 0 ≤ C ∧ ∀ (x : α), dist (f x) (g x) ≤ C

Defined in

Mathlib.Topology.ContinuousMap.Bounded.Basic

Cited by

3 results in Mathlib

Foundations

Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpacePseudoMetricSpace