∀ {V : Type u_2} [inst : Quiver V] {a : V} (motive : (x : V) → Quiver.Path a x → Prop) (x : V) (x_1 : Quiver.Path a x),
  (∀ (a_1 : Unit), motive a Quiver.Path.nil) →
    (∀ (x b : V) (p : Quiver.Path a b) (f : b ⟶ x), motive x (p.cons f)) → motive x x_1