∀ {K : Type u_1} [inst : Field K] {k : Type u_2} [inst_1 : Field k] (φ : K →+* ℂ) (σ : k →+* K),
  (NumberField.ComplexEmbedding.conjugate φ).comp σ = NumberField.ComplexEmbedding.conjugate (φ.comp σ)