Theorems · Theorem · complex analysis

FormalMultilinearSeries.radius_shift

∀ {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]
  (p : FormalMultilinearSeries 𝕜 E F), p.shift.radius = p.radius

Defined in: Mathlib.Analysis.Analytic.ConvergenceRadius
Cited by: 1 results in Mathlib
Foundations: Depth 180 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: NontriviallyNormedField NormedAddCommGroup NormedSpace NormedAddCommGroup NormedSpace

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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Realproof · cited by 25,697
RingHom.idstatement · cited by 18,349
NormedAddCommGroupstatement and proof · cited by 15,752
NormedSpacestatement and proof · cited by 12,499
ENNRealstatement and proof · cited by 9,879
NontriviallyNormedFieldstatement and proof · cited by 8,742
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ContinuousLinearMapstatement · cited by 5,352
NNRealproof · cited by 4,310
mul_oneproof · cited by 3,885
iSupproof · cited by 2,415
MulZeroClass.mul_zeroproof · cited by 2,091

Cited by1

Results whose statement or proof uses this declaration.

FormalMultilinearSeries.radius_unshiftproof · cited by 2