Theorems · Theorem · complex analysis
ContinuousLinearMap.hasFiniteFPowerSeriesOnBall
∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u_2} [inst_1 : NormedAddCommGroup E]
[inst_2 : NormedSpace 𝕜 E] {F : Type u_3} [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace 𝕜 F] (f : E →L[𝕜] F)
(x : E), HasFiniteFPowerSeriesOnBall (⇑f) (f.fpowerSeries x) x 2 ⊤- Defined in
- Mathlib.Analysis.Analytic.Linear
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 182 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites28
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- RingHom.idstatement and proof · cited by 18,349
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- ENNRealstatement · cited by 9,879
- Top.topstatement and proof · cited by 9,680
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- ContinuousLinearMapstatement and proof · cited by 5,352
- Nat.cast_oneproof · cited by 2,501
- SummationFilter.unconditionalproof · cited by 2,068
- Nat.cast_zeroproof · cited by 1,870
- ContinuousMultilinearMapproof · cited by 1,016
Cited by2
Results whose statement or proof uses this declaration.
- ContinuousLinearMap.cpolynomialAtproof · cited by 2
- ContinuousLinearMap.hasFPowerSeriesOnBallproof · cited by 1