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Theorems · Theorem · sequences and series

hasSum_singleton

∀ {α : Type u_1} {β : Type u_2} [inst : AddCommMonoid α] [inst_1 : TopologicalSpace α] (m : β) (f : β → α),
  HasSum ({m}.domRestrict f) (f m)
Defined in
Mathlib.Topology.Algebra.InfiniteSum.Basic
Cited by
1 results in Mathlib
Foundations
Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddCommMonoidTopologicalSpace
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Around this declaration

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

EulerProduct.summable_and_hasSum_factoredNumbers_prod_filter_prime_tsum · cited by 3EulerProduct.summable_and…Set · cited by 53352SetTopologicalSpace · cited by 24529TopologicalSpaceAddCommMonoid · cited by 12281AddCommMonoidSet.Elem · cited by 7166Set.ElemSummationFilter.unconditional · cited by 2068SummationFilter.unconditi…HasSum · cited by 518HasSumSet.domRestrict · cited by 383Set.domRestricthasSum_unique · cited by 1hasSum_uniquehasSum_singletonCITED BYCITES

Cites8

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Cited by1

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