Theorems · Theorem · general topology
HasCompactSupport.mul_right
∀ {α : Type u_2} {β : Type u_4} [inst : TopologicalSpace α] [inst_1 : MulZeroClass β] {f f' : α → β},
HasCompactSupport f → HasCompactSupport (f * f')- Defined in
- Mathlib.Topology.Algebra.Support
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpaceMulZeroClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- MulZeroClass.zero_mulproof · cited by 1,625
- Filter.Eventually.monoproof · cited by 646
- MulZeroClassstatement and proof · cited by 232
- HasCompactSupportstatement and proof · cited by 196
- hasCompactSupport_iff_eventuallyEqproof · cited by 7
Cited by2
Results whose statement or proof uses this declaration.
- mem_compactlySupportedproof · cited by 3
- LipschitzWith.ae_lineDeriv_sum_eqproof · cited by 1