Theorems · Theorem · complex analysis
RCLike.hasSum_re
∀ {α : Type u_1} (𝕜 : Type u_2) [inst : RCLike 𝕜] {L : SummationFilter α} {f : α → 𝕜} {x : 𝕜},
HasSum f x L → HasSum (fun x => RCLike.re (f x)) (RCLike.re x) L- Defined in
- Mathlib.Analysis.Complex.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 168 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- RCLike
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Realstatement · cited by 25,697
- AddMonoidHomstatement · cited by 3,230
- RCLikestatement and proof · cited by 2,829
- SummationFilterstatement and proof · cited by 607
- HasSumstatement and proof · cited by 518
- AddMonoid.toZerostatement · cited by 325
- RCLike.restatement · cited by 319
- RCLike.reCLMproof · cited by 20
- ContinuousLinearMap.hasSumproof · cited by 13
Cited by3
Results whose statement or proof uses this declaration.
- RCLike.hasSum_iffproof · cited by 1
- Complex.hasSum_reproof · cited by 1
- UnitAddTorus.hasSum_sq_mFourierCoeffproof · cited by 0