\begin{align*}
    &T(F^{n\ast}_X, F^{m\ast}_Y) - T(F^{n}_X, F^{m}_Y) \\&= D_{1,(F^n_X, F^m_Y)}(F_X^{n\ast} - F^n_X) + D_{2,(F^n_X, F^m_Y)}(F_Y^{m\ast} - F^m_Y) + (\rho_\infty(F_X^{n\ast}, F^n_X) + \rho_\infty (F_Y^{m\ast}, F^m_Y))\epsilon^\ast_{n,m}
\end{align*}
