∀ {C : Type u}
  {motive :
    {X Y : CategoryTheory.FreeMonoidalCategory C} →
      (a a_1 : X.Hom Y) → CategoryTheory.FreeMonoidalCategory.HomEquiv a a_1 → Prop}
  {X Y : CategoryTheory.FreeMonoidalCategory C} {a a_1 : X.Hom Y}
  (t : CategoryTheory.FreeMonoidalCategory.HomEquiv a a_1),
  (∀ {X Y : CategoryTheory.FreeMonoidalCategory C} (a a_2 : X.Hom Y)
      (t : CategoryTheory.FreeMonoidalCategory.HomEquiv a a_2),
      CategoryTheory.FreeMonoidalCategory.HomEquiv.below t → motive a a_2 t) →
    motive a a_1 t