Theorems · Theorem · complex analysis
Complex.hasSum_re
∀ {α : Type u_1} {L : SummationFilter α} {f : α → ℂ} {x : ℂ}, HasSum f x L → HasSum (fun x => (f x).re) x.re L- Defined in
- Mathlib.Analysis.Complex.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 169 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Complexstatement and proof · cited by 5,565
- Complex.restatement · cited by 882
- SummationFilterstatement and proof · cited by 607
- HasSumstatement and proof · cited by 518
- RCLike.hasSum_reproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- DirichletCharacter.norm_LSeries_product_ge_oneproof · cited by 1