Theorems · Theorem · complex analysis
FormalMultilinearSeries.radius_compNeg
∀ {𝕜 : Type u_1} {E : Type u_3} {F : Type u_4} [inst : NontriviallyNormedField 𝕜] [inst_1 : NormedAddCommGroup E]
[inst_2 : NormedSpace 𝕜 E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace 𝕜 F] [Nontrivial E]
(p : FormalMultilinearSeries 𝕜 E F), (p.compContinuousLinearMap (-ContinuousLinearMap.id 𝕜 E)).radius = p.radius- Cited by
- 3 results in Mathlib
- Foundations
- Depth 178 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- ContinuousLinearMapstatement · cited by 5,352
- Nontrivialstatement and proof · cited by 2,416
- FormalMultilinearSeriesstatement and proof · cited by 615
- ContinuousLinearMap.idstatement · cited by 233
- FormalMultilinearSeries.radiusstatement · cited by 150
- FormalMultilinearSeries.compContinuousLinearMapstatement · cited by 35
- LinearIsometryEquiv.negproof · cited by 14
Cited by3
Results whose statement or proof uses this declaration.
- binomialSeries_radius_eq_oneproof · cited by 1
- binomialSeries_radius_eq_top_of_natproof · cited by 1
- one_le_alternatingGeometricSeries_radiusproof · cited by 0