Theorems · Theorem · general topology

BoundedContinuousFunction.add_compContinuous

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

Defined in

Mathlib.Topology.ContinuousMap.Bounded.Basic

Cited by

1 results in Mathlib

Foundations

Depth 103 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpacePseudoMetricSpaceAddBoundedAddContinuousAddTopologicalSpace