Theorems · Theorem · general topology
HasCompactMulSupport.mul
∀ {α : Type u_2} {β : Type u_4} [inst : TopologicalSpace α] [inst_1 : MulOneClass β] {f f' : α → β},
HasCompactMulSupport f → HasCompactMulSupport f' → HasCompactMulSupport (f * f')- Defined in
- Mathlib.Topology.Algebra.Support
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpaceMulOneClass
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
- mul_oneproof · cited by 3,885
- MulOneClassstatement and proof · cited by 1,018
- HasCompactMulSupportstatement and proof · cited by 43
- HasCompactMulSupport.comp₂_leftproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- HasCompactMulSupport.submonoidproof · cited by 1
- HasCompactSupport.divproof · cited by 0