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Theorems · Definition · general topology

HasCompactSupport.addSubmonoid

(α : Type u_2) → (β : Type u_4) → [TopologicalSpace α] → [inst : AddZeroClass β] → AddSubmonoid (α → β)

The additive submonoid of functions α → β with compact support.

Defined in
Mathlib.Topology.Algebra.Support
Cited by
1 results in Mathlib
Foundations
Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceAddZeroClass
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

HasCompactSupport.mem_addSubmonoid_iff · cited by 0HasCompactSupport.mem_add…TopologicalSpace · cited by 24529TopologicalSpaceSet.ofPred · cited by 6101Set.ofPredAddZeroClass · cited by 1237AddZeroClassAddSubmonoid · cited by 1178AddSubmonoidHasCompactSupport · cited by 196HasCompactSupportHasCompactSupport.add · cited by 3HasCompactSupport.addHasCompactSupport.addSubmonoidCITED BYCITES

Cites6

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Cited by1

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