Theorems · Theorem · complex analysis

MeromorphicAt.fun_sub

∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u_3} [inst_1 : NormedAddCommGroup E]
  [inst_2 : NormedSpace 𝕜 E] {x : 𝕜} {f g : 𝕜 → E},
  MeromorphicAt f x → MeromorphicAt g x → MeromorphicAt (fun i => f i - g i) x

Eta-expanded form of MeromorphicAt.sub

Defined in

Mathlib.Analysis.Meromorphic.Basic

Cited by

17 results in Mathlib

Foundations

Depth 193 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NontriviallyNormedFieldNormedAddCommGroupNormedSpace