[TI] Compact: Add some notes

semester3/ti-compact/parts/02_finite-automata.tex

@@ -54,7 +54,7 @@ For all of them start by assuming that $L$ is regular.
 \setLabelNumber{lemma}{3}
 \begin{lemma}[]{Regular words}
     Let $A$ be a FA over $\Sigma$ and let $x \neq y \in \Sigma^*$, such that $\hdelta_A (q_0, x) = \hdelta(q_0, y)$.
-    Then for each $z \in \Sigma^*$ there exists a $r \in Q$, such that $xz, yz \in \class[r]$, and we thus have
+    Then for each $z \in \Sigma^*$ there exists an $r \in Q$, such that $xz, yz \in \class[r]$, and we thus have
     \rmvspace
     \begin{align*}
         xz \in L(A) \Longleftrightarrow yz \in L(A)