diff -r cb9d47632573 -r 2665170f104a doc-src/TutorialI/Misc/document/natsum.tex --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/doc-src/TutorialI/Misc/document/natsum.tex Wed Apr 19 12:59:38 2000 +0200 @@ -0,0 +1,22 @@ +\begin{isabelle}% +% +\begin{isamarkuptext}% +\noindent +In particular, there are \isa{case}-expressions, for example% +\end{isamarkuptext}% +~{"}case~n~of~0~{\isasymRightarrow}~0~|~Suc~m~{\isasymRightarrow}~m{"}% +\begin{isamarkuptext}% +\noindent +primitive recursion, for example% +\end{isamarkuptext}% +\isacommand{consts}~sum~::~{"}nat~{\isasymRightarrow}~nat{"}\isanewline +\isacommand{primrec}~{"}sum~0~=~0{"}\isanewline +~~~~~~~~{"}sum~(Suc~n)~=~Suc~n~+~sum~n{"}% +\begin{isamarkuptext}% +\noindent +and induction, for example% +\end{isamarkuptext}% +\isacommand{lemma}~{"}sum~n~+~sum~n~=~n*(Suc~n){"}\isanewline +\isacommand{apply}(induct\_tac~n)\isanewline +\isacommand{apply}(auto)\isacommand{.}\isanewline +\end{isabelle}%