Theorems · Theorem · complex analysis

MeromorphicOn.divisor_const

∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {U : Set 𝕜} {E : Type u_2} [inst_1 : NormedAddCommGroup E]
  [inst_2 : NormedSpace 𝕜 E] (e : E), MeromorphicOn.divisor (fun x => e) U = 0

The divisor of a constant function is 0.

Defined in

Mathlib.Analysis.Meromorphic.Divisor

Cited by

4 results in Mathlib

Foundations

Depth 207 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NontriviallyNormedFieldNormedAddCommGroupNormedSpace