--- a/doc-src/TutorialI/Inductive/document/AB.tex Mon Oct 23 17:36:09 2000 +0200
+++ b/doc-src/TutorialI/Inductive/document/AB.tex Mon Oct 23 17:37:03 2000 +0200
@@ -21,13 +21,13 @@
At the end we say a few words about the relationship of the formalization
and the text in the book~\cite[p.\ 81]{HopcroftUllman}.
-We start by fixing the alpgabet, which consists only of \isa{a}'s
+We start by fixing the alphabet, which consists only of \isa{a}'s
and \isa{b}'s:%
\end{isamarkuptext}%
\isacommand{datatype}\ alfa\ {\isacharequal}\ a\ {\isacharbar}\ b%
\begin{isamarkuptext}%
\noindent
-For convenience we includ the following easy lemmas as simplification rules:%
+For convenience we include the following easy lemmas as simplification rules:%
\end{isamarkuptext}%
\isacommand{lemma}\ {\isacharbrackleft}simp{\isacharbrackright}{\isacharcolon}\ {\isachardoublequote}{\isacharparenleft}x\ {\isasymnoteq}\ a{\isacharparenright}\ {\isacharequal}\ {\isacharparenleft}x\ {\isacharequal}\ b{\isacharparenright}\ {\isasymand}\ {\isacharparenleft}x\ {\isasymnoteq}\ b{\isacharparenright}\ {\isacharequal}\ {\isacharparenleft}x\ {\isacharequal}\ a{\isacharparenright}{\isachardoublequote}\isanewline
\isacommand{apply}{\isacharparenleft}case{\isacharunderscore}tac\ x{\isacharparenright}\isanewline
--- a/doc-src/TutorialI/ToyList/document/ToyList.tex Mon Oct 23 17:36:09 2000 +0200
+++ b/doc-src/TutorialI/ToyList/document/ToyList.tex Mon Oct 23 17:37:03 2000 +0200
@@ -183,7 +183,7 @@
\end{isabelle}
The prefix of bound variables \isasymAnd$x\sb{1}$~\dots~$x\sb{n}$ can be
ignored most of the time, or simply treated as a list of variables local to
-this subgoal. Their deeper significance is explained in Chapter~\ref{ch:Rules}.
+this subgoal. Their deeper significance is explained in Chapter~\ref{chap:rules}.
The {\it assumptions} are the local assumptions for this subgoal and {\it
conclusion} is the actual proposition to be proved. Typical proof steps
that add new assumptions are induction or case distinction. In our example