Added missing steps and fixed typos.

src/cat/tricks/dyadic.tex

@@ -44,10 +44,10 @@
         \item[(b)] For each $x, y \in G$, $x + y \ge x, y$. 
     \end{enumerate}
     
-    For each $x \in \mathbb{D} \cap (0, 1)$, let $\phi(x) = \sum_{n \in M(x)}g_n$, then
+    For each $x \in \mathbb{D} \cap [0, 1)$, let $\phi(x) = \sum_{n \in M(x)}g_n$, then
     \begin{enumerate}
-        \item For any $x, y \in \mathbb{D} \cap (0, 1)$ such that $x + y \in (0, 1)$, $\phi(x) + \phi(y) \le \phi(x + y)$.
-        \item For any $x, y \in \mathbb{D} \cap (0, 1)$ with $x \le y$, $\phi(x) \le \phi(y)$.
+        \item For any $x, y \in \mathbb{D} \cap [0, 1)$ such that $x + y \in (0, 1)$, $\phi(x) + \phi(y) \le \phi(x + y)$.
+        \item For any $x, y \in \mathbb{D} \cap [0, 1)$ with $x \le y$, $\phi(x) \le \phi(y)$.
     \end{enumerate}
 \end{proposition}
 \begin{proof}