\begin{align*}
	\mathbb{E}&[ |V_{n,i_0, t_0}(\tilde{X}_1,u,D_{i^{r:\tau},t^{r:\tau}})-V_{n,i_0, t_0}(\tilde{X}_1,u,D_{i^{r+1:\tau},t^{r+1:\tau}})|\\
	&\quad\cdot V_{n,i^{0:\tau}, t^{0:\tau}}(D_{i^{r:\tau},t^{r:\tau}})]\\
	\leq&
	\begin{cases}
		4(n-\tau-1)^{-|i^{\tau}|}K^{-(\tau+1-|i^{\tau}|)}_n & \text{ if } |i^\tau|<\tau+1\\
		2T(n-\tau-1)^{-|i^{\tau}|}K^{-(\tau+2-|i^{\tau}|)}_n &\text{ if } |i^\tau|=\tau+1
	\end{cases}    
\end{align*}
