∀ (F : Type u_3) (E : Type u_1) [inst : Field F] [inst_1 : Field E] [inst_2 : Algebra F E] (K : Type u_2)
  [inst_3 : Field K] [inst_4 : Algebra F K]
  (motive :
    (∃ K_1 x x_1 fa fb, Function.Injective ⇑fa ∧ Function.Injective ⇑fb ∧ fa.range.LinearDisjoint fb.range) → Prop)
  (x : ∃ K_1 x x_1 fa fb, Function.Injective ⇑fa ∧ Function.Injective ⇑fb ∧ fa.range.LinearDisjoint fb.range),
  (∀ (L : Type (max u_1 u_2)) (w : Field L) (w_1 : Algebra F L) (fa : E →ₐ[F] L) (fb : K →ₐ[F] L)
      (hfa : Function.Injective ⇑fa) (hfb : Function.Injective ⇑fb) (H : fa.range.LinearDisjoint fb.range), motive ⋯) →
    motive x