∀ {k : Type u_1} [inst : Field k] {K : Type u_2} [inst_1 : Field K] [inst_2 : Algebra k K] {φ : K →+* ℂ},
  NumberField.InfinitePlace.IsRamified k (NumberField.InfinitePlace.mk φ) ↔ NumberField.ComplexEmbedding.IsMixed k φ