Theorems · Theorem · general topology
HasCompactSupport.multiset_sum
∀ {α : Type u_2} {β : Type u_4} [inst : TopologicalSpace α] [inst_1 : AddCommMonoid β] (m : Multiset (α → β)),
(∀ f ∈ m, HasCompactSupport f) → HasCompactSupport m.sum- Defined in
- Mathlib.Topology.Algebra.Support
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- AddCommMonoidstatement and proof · cited by 12,281
- Multisetstatement and proof · cited by 2,627
- Multiset.sumstatement · cited by 388
- HasCompactSupportstatement and proof · cited by 196
- multiset_sum_memproof · cited by 10
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