deletions | additions       diff --git a/begin_align_text_diam_i__.tex b/begin_align_text_diam_i__.tex  index f5546aa..835a044 100644  --- a/begin_align_text_diam_i__.tex  +++ b/begin_align_text_diam_i__.tex 
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\begin{align*}  \text{diam}(i',j') &\leq \frac{2}{s}|i,j| + L_r + \frac{2}{s}|i,j| + R_r + (1 + \frac{4}{s}) |i,j|\\  &= |i,j| \left( \frac{2}{s} + \frac{2}{s} + 1 + \frac{4}{s} \right) + L_r + R_r \\  &= \left((\frac{s+8}{s}) (\frac{s+8}{s})  |i,j| + L_r + R_r\right) R_r  \\ &\leq \frac{s+8}{s}\left(|i,j| + L_r + R_r\right)\\  &= \frac{s+8}{s} \textP{diam}(i,j)  \end{align*}