Theorems · Theorem · complex analysis
RCLike.hasSum_conj
∀ {α : Type u_1} (𝕜 : Type u_2) [inst : RCLike 𝕜] {L : SummationFilter α} {f : α → 𝕜} {x : 𝕜},
HasSum (fun x => (starRingEnd 𝕜) (f x)) x L ↔ HasSum f ((starRingEnd 𝕜) x) 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
- Assumes
- RCLike
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- RingHomstatement · cited by 10,189
- RCLikestatement and proof · cited by 2,829
- starRingEndstatement · cited by 671
- SummationFilterstatement and proof · cited by 607
- HasSumstatement · cited by 518
- RCLike.conjCLEproof · cited by 5
- ContinuousLinearEquiv.hasSumproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- Complex.hasSum_conjproof · cited by 0