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13305
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%
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\begin{isabellebody}%
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\def\isabellecontext{Plus}%
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17056
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%
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\isadelimtheory
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%
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\endisadelimtheory
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%
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\isatagtheory
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%
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\endisatagtheory
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{\isafoldtheory}%
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%
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\isadelimtheory
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%
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\endisadelimtheory
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13305
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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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17175
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\isamarkuptrue%
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\isacommand{consts}\isamarkupfalse%
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\ plus\ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}nat\ {\isasymRightarrow}\ nat\ {\isasymRightarrow}\ nat{\isachardoublequoteclose}\isanewline
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\isacommand{primrec}\isamarkupfalse%
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\isanewline
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{\isachardoublequoteopen}plus\ m\ {\isadigit{0}}\ {\isacharequal}\ m{\isachardoublequoteclose}\isanewline
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{\isachardoublequoteopen}plus\ m\ {\isacharparenleft}Suc\ n{\isacharparenright}\ {\isacharequal}\ plus\ {\isacharparenleft}Suc\ m{\isacharparenright}\ n{\isachardoublequoteclose}%
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13305
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\begin{isamarkuptext}%
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\noindent and prove%
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\end{isamarkuptext}%
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17175
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\isamarkuptrue%
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17056
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%
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\isadelimproof
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%
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\endisadelimproof
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%
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\isatagproof
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%
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\endisatagproof
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{\isafoldproof}%
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%
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\isadelimproof
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%
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\endisadelimproof
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17175
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\isacommand{lemma}\isamarkupfalse%
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\ {\isachardoublequoteopen}plus\ m\ n\ {\isacharequal}\ m{\isacharplus}n{\isachardoublequoteclose}%
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17056
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\isadelimproof
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%
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\endisadelimproof
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%
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\isatagproof
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%
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\endisatagproof
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{\isafoldproof}%
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%
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\isadelimproof
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%
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\endisadelimproof
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%
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\isadelimtheory
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%
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\endisadelimtheory
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%
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\isatagtheory
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%
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\endisatagtheory
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{\isafoldtheory}%
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%
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\isadelimtheory
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%
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\endisadelimtheory
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13305
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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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