∀ {J : Type v} [inst : CategoryTheory.SmallCategory J] {F : CategoryTheory.Functor J RingCat}
  {motive : (a a_1 : RingCat.Colimits.Prequotient F) → RingCat.Colimits.Relation F a a_1 → Prop}
  (x x' y : RingCat.Colimits.Prequotient F) (x_1 : RingCat.Colimits.Relation F x x'),
  RingCat.Colimits.Relation.below x_1 → motive x x' x_1 → RingCat.Colimits.Relation.below ⋯