Theorems · Theorem · complex analysis

ValueDistribution.logCounting_const

∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] [inst_1 : ProperSpace 𝕜] {E : Type u_2}
  [inst_2 : NormedAddCommGroup E] [inst_3 : NormedSpace 𝕜 E] {c : E} {e : WithTop E},
  ValueDistribution.logCounting (fun x => c) e = 0

The logarithmic counting function of a constant function is zero.

Defined in

Mathlib.Analysis.Complex.ValueDistribution.LogCounting.Basic

Cited by

1 results in Mathlib

Foundations

Depth 208 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NontriviallyNormedFieldProperSpaceNormedAddCommGroupNormedSpace