Theorems · Theorem · several complex variables

HasFPowerSeriesOnBall.eventually_eq_zero

∀ {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] {f : E → F} {x : E}
  {r : ENNReal}, HasFPowerSeriesOnBall f 0 x r → ∀ᶠ (z : E) in nhds x, f z = 0

Defined in

Mathlib.Analysis.Analytic.Basic

Cited by

1 results in Mathlib

Foundations

Depth 167 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NontriviallyNormedFieldNormedAddCommGroupNormedSpaceNormedAddCommGroupNormedSpace