∀ (K : Type u_1) [inst : Field K] [inst_1 : NumberField K]
  (p : ({ w // w.IsReal } → ℝ) × ({ w // w.IsComplex } → ℝ × ℝ)),
  ↑(NumberField.mixedEmbedding.polarCoord K).symm p = (p.1, Pi.map (fun i => ↑Complex.polarCoord.symm) p.2)