Mathlib Map

Theorems · Theorem · functional analysis

CompactlySupportedContinuousMap.hasCompactSupport

∀ {α : Type u_2} {β : Type u_3} [inst : TopologicalSpace α] [inst_1 : TopologicalSpace β] [inst_2 : Zero β]
  (f : CompactlySupportedContinuousMap α β), HasCompactSupport ⇑f
Defined in
Mathlib.Topology.ContinuousMap.CompactlySupported
Cited by
5 results in Mathlib
Foundations
Depth 56 from the axioms · uses propext, Quot.sound
Assumes
TopologicalSpaceTopologicalSpaceZero
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CompactlySupportedContinuousMap.integrable · cited by 9CompactlySupportedContinu…isCompact_setOfPred_finiteMeasure_le_of_compactSpace · cited by 3isCompact_setOfPred_finit…RealRMK.le_rieszMeasure_tsupport_subset · cited by 0RealRMK.le_rieszMeasure_t…NNRealRMK.le_rieszMeasure_of_tsupport_subset · cited by 0NNRealRMK.le_rieszMeasure…NNRealRMK.lintegral_rieszMeasure · cited by 0NNRealRMK.lintegral_riesz…DFunLike.coe · cited by 62936DFunLike.coeTopologicalSpace · cited by 24529TopologicalSpaceHasCompactSupport · cited by 196HasCompactSupportCompactlySupportedContinuousMap · cited by 134CompactlySupportedContinu…CompactlySupportedContinuousMap.hasCompactSupport' · cited by 4CompactlySupportedContinu…CompactlySupportedContinuousM…CITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by5

Results whose statement or proof uses this declaration.