Theorems · Definition · general topology

BoundedContinuousFunction.compContinuous

{α : Type u} →
  {β : Type v} →
    [inst : TopologicalSpace α] →
      [inst_1 : PseudoMetricSpace β] →
        {δ : Type u_2} →
          [inst_2 : TopologicalSpace δ] → BoundedContinuousFunction α β → C(δ, α) → BoundedContinuousFunction δ β

Composition of a bounded continuous function and a continuous function.

Defined in

Mathlib.Topology.ContinuousMap.Bounded.Basic

Cited by

25 results in Mathlib

Foundations

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

Assumes

TopologicalSpacePseudoMetricSpaceTopologicalSpace