--- a/doc-src/Logics/FOL.tex Tue Jul 28 16:30:56 1998 +0200
+++ b/doc-src/Logics/FOL.tex Tue Jul 28 16:33:43 1998 +0200
@@ -678,7 +678,7 @@
The introduction rule, given the premises $P\Imp Q$ and $\neg P\Imp R$,
concludes $if(P,Q,R)$. We propose the conclusion as the main goal
-using~\ttindex{goalw}, which uses \texttt{if_def} to rewrite occurrences
+using~\ttindex{Goalw}, which uses \texttt{if_def} to rewrite occurrences
of $if$ in the subgoal.
\begin{ttbox}
val prems = Goalw [if_def]
@@ -710,7 +710,7 @@
{\out 1. S}
\end{ttbox}
The major premise contains an occurrence of~$if$, but the version returned
-by \ttindex{goalw} (and bound to the {\ML} variable~\texttt{major}) has the
+by \ttindex{Goalw} (and bound to the {\ML} variable~\texttt{major}) has the
definition expanded. Now \ttindex{cut_facts_tac} inserts~\texttt{major} as an
assumption in the subgoal, so that \ttindex{blast_tac} can break it down.
\begin{ttbox}
@@ -729,9 +729,9 @@
\iflabelundefined{definitions}{{\em Introduction to Isabelle}}%
{\S\ref{definitions}}, there are other
ways of treating definitions when deriving a rule. We can start the
-proof using \texttt{goal}, which does not expand definitions, instead of
-\texttt{goalw}. We can use \ttindex{rew_tac}
-to expand definitions in the subgoals --- perhaps after calling
+proof using \texttt{Goal}, which does not expand definitions, instead of
+\texttt{Goalw}. We can use \ttindex{rew_tac}
+to expand definitions in the subgoals---perhaps after calling
\ttindex{cut_facts_tac} to insert the rule's premises. We can use
\ttindex{rewrite_rule}, which is a meta-inference rule, to expand
definitions in the premises directly.