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Theorems · Theorem · complex analysis

RCLike.ofReal_tsum

∀ {α : Type u_1} (𝕜 : Type u_2) [inst : RCLike 𝕜] {L : SummationFilter α} (f : α → ℝ),
  ↑(∑'[L] (a : α), f a) = ∑'[L] (a : α), ↑(f a)
Defined in
Mathlib.Analysis.Complex.Basic
Cited by
1 results in Mathlib
Foundations
Depth 169 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
RCLike
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Around this declaration

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

Complex.ofReal_tsum · cited by 11Complex.ofReal_tsumReal · cited by 25697RealRCLike · cited by 2829RCLiketsum · cited by 1148tsumSummationFilter · cited by 607SummationFilterRCLike.ofReal · cited by 350RCLike.ofRealContinuousLinearMap.continuous · cited by 124ContinuousLinearMap.conti…RCLike.ofReal_re · cited by 60RCLike.ofReal_reRCLike.continuous_re · cited by 10RCLike.continuous_reRCLike.ofRealCLM · cited by 10RCLike.ofRealCLMFunction.LeftInverse.map_tsum · cited by 9LeftInverse.map_tsumRCLike.ofReal_tsumCITED BYCITES

Cites10

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Cited by1

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