∀ {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}
  {a a_1 : RingCat.Colimits.Prequotient F} (t : RingCat.Colimits.Relation F a a_1),
  (∀ (a a_2 : RingCat.Colimits.Prequotient F) (t : RingCat.Colimits.Relation F a a_2),
      RingCat.Colimits.Relation.below t → motive a a_2 t) →
    motive a a_1 t