diff -r a7f961fb62c6 -r d78de58fe368 doc-src/AxClass/generated/Group.tex --- a/doc-src/AxClass/generated/Group.tex Mon Oct 23 22:10:36 2000 +0200 +++ b/doc-src/AxClass/generated/Group.tex Mon Oct 23 22:11:24 2000 +0200 @@ -163,14 +163,14 @@ \end{figure}% \end{isamarkuptext}% \isacommand{instance}\ monoid\ {\isacharless}\ semigroup\isanewline -\isacommand{proof}\ intro{\isacharunderscore}classes\isanewline +\isacommand{proof}\isanewline \ \ \isacommand{fix}\ x\ y\ z\ {\isacharcolon}{\isacharcolon}\ {\isachardoublequote}{\isacharprime}a{\isasymColon}monoid{\isachardoublequote}\isanewline \ \ \isacommand{show}\ {\isachardoublequote}x\ {\isasymodot}\ y\ {\isasymodot}\ z\ {\isacharequal}\ x\ {\isasymodot}\ {\isacharparenleft}y\ {\isasymodot}\ z{\isacharparenright}{\isachardoublequote}\isanewline \ \ \ \ \isacommand{by}\ {\isacharparenleft}rule\ monoid{\isachardot}assoc{\isacharparenright}\isanewline \isacommand{qed}\isanewline \isanewline \isacommand{instance}\ group\ {\isacharless}\ monoid\isanewline -\isacommand{proof}\ intro{\isacharunderscore}classes\isanewline +\isacommand{proof}\isanewline \ \ \isacommand{fix}\ x\ y\ z\ {\isacharcolon}{\isacharcolon}\ {\isachardoublequote}{\isacharprime}a{\isasymColon}group{\isachardoublequote}\isanewline \ \ \isacommand{show}\ {\isachardoublequote}x\ {\isasymodot}\ y\ {\isasymodot}\ z\ {\isacharequal}\ x\ {\isasymodot}\ {\isacharparenleft}y\ {\isasymodot}\ z{\isacharparenright}{\isachardoublequote}\isanewline \ \ \ \ \isacommand{by}\ {\isacharparenleft}rule\ semigroup{\isachardot}assoc{\isacharparenright}\isanewline @@ -183,12 +183,12 @@ \medskip The $\INSTANCE$ command sets up an appropriate goal that represents the class inclusion (or type arity, see \secref{sec:inst-arity}) to be proven (see also - \cite{isabelle-isar-ref}). The \isa{intro{\isacharunderscore}classes} proof method - does back-chaining of class membership statements wrt.\ the hierarchy - of any classes defined in the current theory; the effect is to reduce - to the initial statement to a number of goals that directly - correspond to any class axioms encountered on the path upwards - through the class hierarchy.% + \cite{isabelle-isar-ref}). The initial proof step causes + back-chaining of class membership statements wrt.\ the hierarchy of + any classes defined in the current theory; the effect is to reduce to + the initial statement to a number of goals that directly correspond + to any class axioms encountered on the path upwards through the class + hierarchy.% \end{isamarkuptext}% % \isamarkupsubsection{Concrete instantiation \label{sec:inst-arity}}