∀ {δ : Sort v} (f : (α : Type u_1) → [LinearOrder α] → δ)
  (c :
    ∀ (α : Type u_1) [inst : LinearOrder α] (β : Type u_1) [inst_1 : LinearOrder β],
      OrderType.type α = OrderType.type β → f α = f β)
  {γ : Type u_1} [inst : LinearOrder γ], (OrderType.type γ).liftOn f c = f γ