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%
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\begin{isabellebody}%
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\def\isabellecontext{Plus}%
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\isamarkupfalse%
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%
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\begin{isamarkuptext}%
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\noindent Define the following addition function%
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\end{isamarkuptext}%
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\isamarkuptrue%
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\isacommand{consts}\ plus\ {\isacharcolon}{\isacharcolon}\ {\isachardoublequote}nat\ {\isasymRightarrow}\ nat\ {\isasymRightarrow}\ nat{\isachardoublequote}\isanewline
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\isamarkupfalse%
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\isacommand{primrec}\isanewline
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{\isachardoublequote}plus\ m\ {\isadigit{0}}\ {\isacharequal}\ m{\isachardoublequote}\isanewline
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{\isachardoublequote}plus\ m\ {\isacharparenleft}Suc\ n{\isacharparenright}\ {\isacharequal}\ plus\ {\isacharparenleft}Suc\ m{\isacharparenright}\ n{\isachardoublequote}\isamarkupfalse%
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%
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\begin{isamarkuptext}%
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\noindent and prove%
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\end{isamarkuptext}%
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\isamarkuptrue%
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\isamarkupfalse%
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\isamarkupfalse%
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\isanewline
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\isamarkupfalse%
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\isacommand{lemma}\ {\isachardoublequote}plus\ m\ n\ {\isacharequal}\ m{\isacharplus}n{\isachardoublequote}\isamarkupfalse%
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\isanewline
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\isamarkupfalse%
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\isamarkupfalse%
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\end{isabellebody}%
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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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