Theorems · Theorem · general topology

BoundedContinuousFunction.nndist_eq_iSup

∀ {α : Type u} {β : Type v} [inst : TopologicalSpace α] [inst_1 : PseudoMetricSpace β]
  {f g : BoundedContinuousFunction α β}, nndist f g = ⨆ x, nndist (f x) (g x)

Defined in

Mathlib.Topology.ContinuousMap.Bounded.Basic

Cited by

2 results in Mathlib

Foundations

Depth 123 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpacePseudoMetricSpace