Theorems · Theorem · functional analysis

CompactlySupportedContinuousMap.toContinuousMap_compLeft

∀ {α : Type u_2} {β : Type u_3} [inst : TopologicalSpace α] [inst_1 : TopologicalSpace β] [inst_2 : Zero β]
  {γ : Type u_5} [inst_3 : TopologicalSpace γ] [inst_4 : Zero γ] {g : C(β, γ)},
  g 0 = 0 →
    ∀ (f : CompactlySupportedContinuousMap α β),
      (CompactlySupportedContinuousMap.compLeft g f).toContinuousMap = g.comp ↑f

Defined in

Mathlib.Topology.ContinuousMap.CompactlySupported

Cited by

0 results in Mathlib

Foundations

Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceZeroTopologicalSpaceZero