diff -r e3752aac8ec2 -r dd9dde2d902b ChengsongTanPhdThesis/Chapters/Finite.tex --- 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}