but for a GADT the arguments to the type constructor can be arbitrary monotypes.
For example, in the <literal>Term</literal> data
type above, the type of each constructor must end with <literal>Term ty</literal>, but
-the <literal>ty</literal> may not be a type variable (e.g. the <literal>Lit</literal>
+the <literal>ty</literal> need not be a type variable (e.g. the <literal>Lit</literal>
constructor).
</para></listitem>
<listitem><para>
+It's is permitted to declare an ordinary algebraic data type using GADT-style syntax.
+What makes a GADT into a GADT is not the syntax, but rather the presence of data constructors
+whose result type is not just <literal>T a b</literal>.
+</para></listitem>
+
+<listitem><para>
You cannot use a <literal>deriving</literal> clause for a GADT; only for
an ordinary data type.
</para></listitem>
</programlisting>
</para></listitem>
+<listitem><para>
+When pattern-matching against data constructors drawn from a GADT,
+for example in a <literal>case</literal> expression, the following rules apply:
+<itemizedlist>
+<listitem><para>The type of the scrutinee must be rigid.</para></listitem>
+<listitem><para>The type of the result of the <literal>case</literal> expression must be rigid.</para></listitem>
+<listitem><para>The type of any free variable mentioned in any of
+the <literal>case</literal> alternatives must be rigid.</para></listitem>
+</itemizedlist>
+A type is "rigid" if it is completely known to the compiler at its binding site. The easiest
+way to ensure that a variable a rigid type is to give it a type signature.
+</para></listitem>
+
</itemizedlist>
</para>