∀ {J : Type u_2} [inst : LinearOrder J] [inst_1 : SuccOrder J] {F : CategoryTheory.Functor Jᵒᵖ (Type u_1)}
  {d : F.WellOrderInductionData} [inst_2 : OrderBot J] {val₀ : F.obj (Opposite.op ⊥)} {j : J} (e : d.Extension val₀ j)
  (hj : ¬IsMax j) (i : J) (hi : i < Order.succ j),
  F.map (CategoryTheory.homOfLE ⋯).op (d.succ j hj e.val) =
    d.succ i ⋯ (F.map (CategoryTheory.homOfLE ⋯).op (d.succ j hj e.val))