doc-src/TutorialI/Misc/document/natsum.tex
author paulson
Sat, 12 Aug 2000 21:41:42 +0200
changeset 9582 38e58ed53e7b
parent 9541 d17c0b34d5c8
child 9644 6b0b6b471855
permissions -rw-r--r--
deleted needless rules

\begin{isabelle}%
%
\begin{isamarkuptext}%
\noindent
In particular, there are \isa{case}-expressions, for example
\begin{quote}

\begin{isabelle}%
case\ n\ of\ 0\ {\isasymRightarrow}\ 0\ |\ Suc\ m\ {\isasymRightarrow}\ m
\end{isabelle}%

\end{quote}
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{by}(auto)\isanewline
\end{isabelle}%
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