∀ (K : Type u_2) (A : Type u_1) [inst : Field K] [inst_1 : NumberField K] [inst_2 : Field A] [inst_3 : Algebra ℚ A]
  (x : K) (a : A) (motive : (a ∈ Set.range fun ψ => ψ x) → Prop) (x_1 : a ∈ Set.range fun ψ => ψ x),
  (∀ (φ : K →ₐ[ℚ] A) (hφ : (fun ψ => ψ x) φ = a), motive ⋯) → motive x_1