Theorems · Theorem · general topology
HasCompactMulSupport.of_compactSpace
∀ {α : Type u_2} {γ : Type u_5} [inst : TopologicalSpace α] [inst_1 : One γ] [CompactSpace α] (f : α → γ),
HasCompactMulSupport fIn a compact space α, any function has compact support.
- Defined in
- Mathlib.Topology.Algebra.Support
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
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
- CompactSpacestatement and proof · cited by 593
- Set.subset_univproof · cited by 228
- IsCompact.of_isClosed_subsetproof · cited by 67
- isCompact_univproof · cited by 53
- HasCompactMulSupportstatement · cited by 43
- mulTSupportproof · cited by 41
- isClosed_mulTSupportproof · cited by 5
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