∀ {F : Type u_3} {E : Type u_1} {K : Type u_2} [inst : Field F] [inst_1 : Field E] [inst_2 : Field K]
  [inst_3 : Algebra F E] [inst_4 : Algebra F K] (motive : Nonempty (K →ₐ[F] E) → Prop) (x : Nonempty (K →ₐ[F] E)),
  (∀ (τ : K →ₐ[F] E), motive ⋯) → motive x