Mockingbird edits

Advanced/Mock a Mockingbird/parts/01 tmam.tex

@@ -54,13 +54,12 @@ Show that the laws of the forest guarantee that at least one bird is egocentric.
 \pagebreak
 
 
-\problem{}
+\definition{}
 We say a bird $A$ is \textit{agreeable} if for all birds $B$, there is at least one bird $x$ on which $A$ and $B$ agree. \\
 In other words, $A$ is agreeable if $Ax = Bx$ for some $x$ for all $B$.
 
-\begin{helpbox}
-	\texttt{Def:} $Mx := xx$
-\end{helpbox}
+\problem{}
+Is the Mockingbird agreeable?
 
 \begin{solution}
 	We know that $Mx = xx$. \\
@@ -115,11 +114,11 @@ Given three arbitrary birds $A$, $B$, and $C$, show that there exists a bird $D$
 		\lineno{} let A, B, C
 		\lineno{}
 		\lineno{} \cmnt{Invoke the Law of Composition:}
-		\lineno{} let Q = BC
-		\lineno{} let D = AQ
+		\lineno{} let Qx = B(Cx)
+		\lineno{} let Dx = A(Qx)
 		\lineno{}
-		\lineno{} D = AQ
-		\lineno{}   = A(BC)  \qed{}
+		\lineno{} Dx = A(Qx)
+		\lineno{}   = A(B(Cx))  \qed{}
 	\end{alltt}
 \end{solution}