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Theorems · Theorem · complex analysis

RCLike.summable_ofReal

∀ {α : Type u_1} (𝕜 : Type u_2) [inst : RCLike 𝕜] {L : SummationFilter α} {f : α → ℝ},
  Summable (fun x => ↑(f x)) L ↔ Summable f L
Defined in
Mathlib.Analysis.Complex.Basic
Cited by
1 results in Mathlib
Foundations
Depth 168 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
RCLike
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Complex.summable_ofReal · cited by 2Complex.summable_ofRealReal · cited by 25697RealRCLike · cited by 2829RCLikeSummable · cited by 778SummableSummationFilter · cited by 607SummationFilterRCLike.ofReal · cited by 350RCLike.ofRealRCLike.ofReal_re · cited by 60RCLike.ofReal_reRCLike.reCLM · cited by 20RCLike.reCLMRCLike.ofRealCLM · cited by 10RCLike.ofRealCLMContinuousLinearMap.summable · cited by 3ContinuousLinearMap.summa…RCLike.summable_ofRealCITED BYCITES

Cites9

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Cited by1

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