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\begin{isabelle}%
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%
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\begin{isamarkuptext}%
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\noindent
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In particular, there are \isa{case}-expressions, for example
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\begin{quote}
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\begin{isabelle}%
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9673
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case\ \mbox{n}\ of\ \isadigit{0}\ {\isasymRightarrow}\ \isadigit{0}\ {\isacharbar}\ Suc\ \mbox{m}\ {\isasymRightarrow}\ \mbox{m}
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\end{isabelle}%
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\end{quote}
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primitive recursion, for example%
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\end{isamarkuptext}%
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9673
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\isacommand{consts}\ sum\ {\isacharcolon}{\isacharcolon}\ {\isachardoublequote}nat\ {\isasymRightarrow}\ nat{\isachardoublequote}\isanewline
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\isacommand{primrec}\ {\isachardoublequote}sum\ \isadigit{0}\ {\isacharequal}\ \isadigit{0}{\isachardoublequote}\isanewline
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\ \ \ \ \ \ \ \ {\isachardoublequote}sum\ {\isacharparenleft}Suc\ n{\isacharparenright}\ {\isacharequal}\ Suc\ n\ {\isacharplus}\ sum\ n{\isachardoublequote}%
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\begin{isamarkuptext}%
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\noindent
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and induction, for example%
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\end{isamarkuptext}%
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\isacommand{lemma}\ {\isachardoublequote}sum\ n\ {\isacharplus}\ sum\ n\ {\isacharequal}\ n{\isacharasterisk}{\isacharparenleft}Suc\ n{\isacharparenright}{\isachardoublequote}\isanewline
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\isacommand{apply}{\isacharparenleft}induct{\isacharunderscore}tac\ n{\isacharparenright}\isanewline
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\isacommand{by}{\isacharparenleft}auto{\isacharparenright}\isanewline
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\end{isabelle}%
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9145
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%%% Local Variables:
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%%% mode: latex
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%%% TeX-master: "root"
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%%% End:
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