@@ -241,7 +241,7 @@ Let us now prove the other required lemma, \texttt{plusredO\_S}:
241In this case, the goal is a function type, using \texttt{k} (the argument accessible by
241In this case, the goal is a function type, using \texttt{k} (the argument accessible by
242pattern matching) and \texttt{ih} (the local variable containing the result of
242pattern matching) and \texttt{ih} (the local variable containing the result of
243the recursive call). We can introduce these as premisses using the \texttt{intro} tactic
243the recursive call). We can introduce these as premisses using the \texttt{intro} tactic
244−twice. This gives:
244+twice (or \texttt{intros}, which introduces all arguments as premisses). This gives:
246\begin{SaveVerbatim}{prSintros}
246\begin{SaveVerbatim}{prSintros}
@@ -282,8 +282,7 @@ the goal using that proof. Here, it results in an equality which is trivially pr
282plusredO_S: no more goals
282plusredO_S: no more goals
283-plusredO_S> qed
283-plusredO_S> qed
284plusredO_S = proof {
284plusredO_S = proof {
287 rewrite ih;
286 rewrite ih;