Theorems · Theorem · complex analysis

meromorphicOrderAt_inv

∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {𝕜' : Type u_4} [inst_1 : NontriviallyNormedField 𝕜']
  [inst_2 : NormedAlgebra 𝕜 𝕜'] {x : 𝕜} {f : 𝕜 → 𝕜'}, meromorphicOrderAt f⁻¹ x = -meromorphicOrderAt f x

The order of the inverse is the negative of the order.

Defined in

Mathlib.Analysis.Meromorphic.Order

Cited by

5 results in Mathlib

Foundations

Depth 198 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NontriviallyNormedFieldNontriviallyNormedFieldNormedAlgebra