Theorems · Theorem · general topology
HasCompactSupport.isCompact
∀ {α : Type u_2} {β : Type u_4} [inst : TopologicalSpace α] [inst_1 : Zero β] {f : α → β},
HasCompactSupport f → IsCompact (tsupport f)- Defined in
- Mathlib.Topology.Algebra.Support
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 51 from the axioms · uses propext, Quot.sound
- Assumes
- TopologicalSpaceZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- IsCompactstatement · cited by 1,282
- HasCompactSupportstatement and proof · cited by 196
- tsupportstatement · cited by 178
Cited by5
Results whose statement or proof uses this declaration.
- rieszContentAux_unionproof · cited by 2
- HasCompactSupport.is_zero_at_inftyproof · cited by 2
- HasCompactSupport.hasFDerivAt_convolution_rightproof · cited by 2
- HasCompactSupport.convolutionproof · cited by 0
- compactlySupported_eq_top_iffproof · cited by 0