∀ {C : Type u}
  {motive :
    {X Y : CategoryTheory.FreeMonoidalCategory C} →
      (a a_1 : X.Hom Y) → CategoryTheory.FreeMonoidalCategory.HomEquiv a a_1 → Prop}
  {X₁ X₂ X₃ Y₁ Y₂ Y₃ : CategoryTheory.FreeMonoidalCategory C} (f₁ : X₁.Hom Y₁) (f₂ : X₂.Hom Y₂) (f₃ : X₃.Hom Y₃),
  CategoryTheory.FreeMonoidalCategory.HomEquiv.below ⋯