Theorems · Theorem · general topology

ContinuousMap.edist_eq_iSup

∀ {α : Type u_1} {β : Type u_2} [inst : TopologicalSpace α] [inst_1 : CompactSpace α] [inst_2 : PseudoMetricSpace β]
  {f g : C(α, β)}, edist f g = ⨆ x, edist (f x) (g x)

Defined in

Mathlib.Topology.ContinuousMap.Compact

Cited by

2 results in Mathlib

Foundations

Depth 157 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceCompactSpacePseudoMetricSpace