Theorems · Theorem · general topology

BoundedContinuousFunction.dist_mkOfCompact

∀ {α : Type u_1} {β : Type u_2} [inst : TopologicalSpace α] [inst_1 : CompactSpace α] [inst_2 : PseudoMetricSpace β]
  (f g : C(α, β)), dist (BoundedContinuousFunction.mkOfCompact f) (BoundedContinuousFunction.mkOfCompact g) = dist f g

Defined in

Mathlib.Topology.ContinuousMap.Compact

Cited by

1 results in Mathlib

Foundations

Depth 126 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceCompactSpacePseudoMetricSpace