Theorems · Theorem · general topology
HasCompactSupport.add
∀ {α : Type u_2} {β : Type u_4} [inst : TopologicalSpace α] [inst_1 : AddZeroClass β] {f f' : α → β},
HasCompactSupport f → HasCompactSupport f' → HasCompactSupport (f + f')- Defined in
- Mathlib.Topology.Algebra.Support
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpaceAddZeroClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- add_zeroproof · cited by 2,707
- AddZeroClassstatement and proof · cited by 1,237
- HasCompactSupportstatement and proof · cited by 196
- HasCompactSupport.comp₂_leftproof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- mem_compactlySupportedproof · cited by 3
- MeasureTheory.MemLp.exists_hasCompactSupport_eLpNorm_sub_leproof · cited by 3
- HasCompactSupport.addSubmonoidproof · cited by 1
- HasCompactSupport.subproof · cited by 0