Theorems · Theorem · general topology
HasCompactSupport.list_sum
∀ {α : Type u_9} {β : Type u_10} [inst : TopologicalSpace α] [inst_1 : AddMonoid β] {l : List (α → β)},
(∀ f ∈ l, HasCompactSupport f) → HasCompactSupport l.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
- Assumes
- TopologicalSpaceAddMonoid
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Cites4
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- TopologicalSpacestatement and proof · cited by 24,529
- AddMonoidstatement and proof · cited by 2,864
- HasCompactSupportstatement and proof · cited by 196
- list_sum_memproof · cited by 10
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