Theorems · Theorem · general topology

BoundedContinuousFunction.mkOfCompact_add

∀ {α : Type u} {β : Type v} [inst : TopologicalSpace α] [inst_1 : PseudoMetricSpace β] [inst_2 : CompactSpace α]
  [inst_3 : Add β] [inst_4 : BoundedAdd β] [inst_5 : ContinuousAdd β] (f g : C(α, β)),
  BoundedContinuousFunction.mkOfCompact (f + g) =
    BoundedContinuousFunction.mkOfCompact f + BoundedContinuousFunction.mkOfCompact g

Defined in

Mathlib.Topology.ContinuousMap.Bounded.Basic

Cited by

0 results in Mathlib

Foundations

Depth 119 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpacePseudoMetricSpaceCompactSpaceAddBoundedAddContinuousAdd