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Theorems · Theorem · sequences and series

summable_of_finite_support

Deprecated since 2026-03-03Use summable_of_hasFiniteSupport instead.

∀ {α : Type u_1} {β : Type u_2} [inst : AddCommMonoid α] [inst_1 : TopologicalSpace α] {f : β → α}
  {L : SummationFilter β} [L.HasSupport], Function.HasFiniteSupport f → Summable f L

Alias of summable_of_hasFiniteSupport.

Defined in
Mathlib.Topology.Algebra.InfiniteSum.Basic
Cited by
0 results in Mathlib
Foundations
Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddCommMonoidTopologicalSpaceSummationFilter.HasSupport
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TopologicalSpace · cited by 24529TopologicalSpaceAddCommMonoid · cited by 12281AddCommMonoidSummable · cited by 778SummableSummationFilter · cited by 607SummationFilterFunction.HasFiniteSupport · cited by 113Function.HasFiniteSupportSummationFilter.HasSupport · cited by 38SummationFilter.HasSupportsummable_of_hasFiniteSupport · cited by 12summable_of_hasFiniteSupp…summable_of_finite_supportCITED BYCITES

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