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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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\end{isamarkuptext}%
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~{"}case~n~of~0~{\isasymRightarrow}~0~|~Suc~m~{\isasymRightarrow}~m{"}%
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\begin{isamarkuptext}%
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\noindent
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primitive recursion, for example%
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\end{isamarkuptext}%
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\isacommand{consts}~sum~::~{"}nat~{\isasymRightarrow}~nat{"}\isanewline
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\isacommand{primrec}~{"}sum~0~=~0{"}\isanewline
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~~~~~~~~{"}sum~(Suc~n)~=~Suc~n~+~sum~n{"}%
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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}~{"}sum~n~+~sum~n~=~n*(Suc~n){"}\isanewline
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\isacommand{apply}(induct\_tac~n)\isanewline
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\isacommand{apply}(auto)\isacommand{.}\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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