--- a/doc-src/TutorialI/Recdef/document/Nested2.tex Sun Jan 30 20:48:50 2005 +0100
+++ b/doc-src/TutorialI/Recdef/document/Nested2.tex Tue Feb 01 18:01:57 2005 +0100
@@ -5,7 +5,7 @@
\isamarkupfalse%
\isacommand{lemma}\ {\isacharbrackleft}simp{\isacharbrackright}{\isacharcolon}\ {\isachardoublequote}t\ {\isasymin}\ set\ ts\ {\isasymlongrightarrow}\ size\ t\ {\isacharless}\ Suc{\isacharparenleft}term{\isacharunderscore}list{\isacharunderscore}size\ ts{\isacharparenright}{\isachardoublequote}\isanewline
\isamarkupfalse%
-\isacommand{by}{\isacharparenleft}induct{\isacharunderscore}tac\ ts{\isacharcomma}\ auto{\isacharparenright}\isamarkupfalse%
+\isamarkupfalse%
\isamarkupfalse%
%
\begin{isamarkuptext}%
@@ -20,19 +20,9 @@
\isamarkuptrue%
\isacommand{lemma}\ {\isachardoublequote}trev{\isacharparenleft}trev\ t{\isacharparenright}\ {\isacharequal}\ t{\isachardoublequote}\isanewline
\isamarkupfalse%
-\isacommand{apply}{\isacharparenleft}induct{\isacharunderscore}tac\ t\ rule{\isacharcolon}\ trev{\isachardot}induct{\isacharparenright}\isamarkupfalse%
-%
-\begin{isamarkuptxt}%
-\begin{isabelle}%
-\ {\isadigit{1}}{\isachardot}\ {\isasymAnd}x{\isachardot}\ trev\ {\isacharparenleft}trev\ {\isacharparenleft}Var\ x{\isacharparenright}{\isacharparenright}\ {\isacharequal}\ Var\ x\isanewline
-\ {\isadigit{2}}{\isachardot}\ {\isasymAnd}f\ ts{\isachardot}\isanewline
-\isaindent{\ {\isadigit{2}}{\isachardot}\ \ \ \ }{\isasymforall}x{\isachardot}\ x\ {\isasymin}\ set\ ts\ {\isasymlongrightarrow}\ trev\ {\isacharparenleft}trev\ x{\isacharparenright}\ {\isacharequal}\ x\ {\isasymLongrightarrow}\isanewline
-\isaindent{\ {\isadigit{2}}{\isachardot}\ \ \ \ }trev\ {\isacharparenleft}trev\ {\isacharparenleft}App\ f\ ts{\isacharparenright}{\isacharparenright}\ {\isacharequal}\ App\ f\ ts%
-\end{isabelle}
-Both the base case and the induction step fall to simplification:%
-\end{isamarkuptxt}%
+\isamarkupfalse%
\isamarkuptrue%
-\isacommand{by}{\isacharparenleft}simp{\isacharunderscore}all\ add{\isacharcolon}\ rev{\isacharunderscore}map\ sym{\isacharbrackleft}OF\ map{\isacharunderscore}compose{\isacharbrackright}\ cong{\isacharcolon}\ map{\isacharunderscore}cong{\isacharparenright}\isamarkupfalse%
+\isamarkupfalse%
%
\begin{isamarkuptext}%
\noindent