--- a/ChengsongTanPhdThesis/Chapters/Finite.tex Sat Dec 24 11:55:04 2022 +0000
+++ b/ChengsongTanPhdThesis/Chapters/Finite.tex Fri Dec 30 01:52:32 2022 +0000
@@ -2075,8 +2075,10 @@
\begin{proof}
By induction on $a$. $rs$ is set to take arbitrary values.
\end{proof}
-It is also not surprising that $\textit{rsimp}$ will cover
-the effect of $\hflataux{\_}$:
+It is also not surprising that
+two regular expressions differing only in terms
+of the
+nesting of parentheses are equivalent w.r.t. $\textit{rsimp}$:
\begin{lemma}\label{cbsHfauRsimpeq1}
$\rsimp{(r_1 + r_2)} = \rsimp{(\RALTS{\hflataux{r_1} @ \hflataux{r_2}})}$
\end{lemma}