Theorems · Theorem · complex analysis

meromorphicOrderAt_comp_add_const_eq_meromorphicOrderAt

∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u_2} [inst_1 : NormedAddCommGroup E]
  [inst_2 : NormedSpace 𝕜 E] {x c : 𝕜} {f : 𝕜 → E},
  meromorphicOrderAt (f ∘ fun x => x + c) x = meromorphicOrderAt f (x + c)

meromorphicOrderAt is invariant under translation.

Defined in

Mathlib.Analysis.Meromorphic.Order

Cited by

2 results in Mathlib

Foundations

Depth 201 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NontriviallyNormedFieldNormedAddCommGroupNormedSpace