Theorems · Theorem · general topology
hasCompactMulSupport_def
∀ {α : Type u_2} {β : Type u_4} [inst : TopologicalSpace α] [inst_1 : One β] {f : α → β},
HasCompactMulSupport f ↔ IsCompact (closure (Function.mulSupport f))- Defined in
- Mathlib.Topology.Algebra.Support
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 51 from the axioms · uses propext, Quot.sound
- Assumes
- TopologicalSpaceOne
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
- IsCompactstatement · cited by 1,282
- closurestatement · cited by 1,254
- Function.mulSupportstatement · cited by 240
- HasCompactMulSupportstatement · cited by 43
Cited by1
Results whose statement or proof uses this declaration.
- HasCompactMulSupport.comp_isClosedEmbeddingproof · cited by 1