Theorems · Theorem · several complex variables
FormalMultilinearSeries.radius_le_radius_derivSeries
∀ {𝕜 : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField 𝕜] [inst_1 : NormedAddCommGroup E]
[inst_2 : NormedSpace 𝕜 E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace 𝕜 F]
(p : FormalMultilinearSeries 𝕜 E F), p.radius ≤ p.derivSeries.radius- Defined in
- Mathlib.Analysis.Analytic.ChangeOrigin
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 183 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites25
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHom.idstatement · cited by 18,349
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- ENNRealstatement · cited by 9,879
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- Norm.normproof · cited by 5,413
- ContinuousLinearMapstatement · cited by 5,352
- LE.le.transproof · cited by 3,151
- one_mulproof · cited by 2,841
- ContinuousMultilinearMapproof · cited by 1,016
- norm_nonnegproof · cited by 725
- FormalMultilinearSeriesstatement and proof · cited by 615
Cited by1
Results whose statement or proof uses this declaration.
- HasFPowerSeriesWithinOnBall.fderivWithin_of_mem_of_analyticOnproof · cited by 2