Theorems · Theorem · general topology
HasCompactSupport.of_compactSpace
∀ {α : Type u_2} {γ : Type u_5} [inst : TopologicalSpace α] [inst_1 : Zero γ] [CompactSpace α] (f : α → γ),
HasCompactSupport f- Defined in
- Mathlib.Topology.Algebra.Support
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- CompactSpacestatement and proof · cited by 593
- Set.subset_univproof · cited by 228
- HasCompactSupportstatement · cited by 196
- tsupportproof · cited by 178
- IsCompact.of_isClosed_subsetproof · cited by 67
- isCompact_univproof · cited by 53
- isClosed_tsupportproof · cited by 17
Cited by3
Results whose statement or proof uses this declaration.
- isCompact_setOfPred_finiteMeasure_le_of_compactSpaceproof · cited by 3
- MeasureTheory.Measure.exists_regular_eq_of_compactSpaceproof · cited by 1
- CompactlySupportedContinuousMapClass.of_compactSpaceproof · cited by 0