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1 % |
1 % |
2 \begin{isabellebody}% |
2 \begin{isabellebody}% |
3 \def\isabellecontext{arith2}% |
3 \def\isabellecontext{arith{\isadigit{2}}}% |
4 \isacommand{lemma}\ {\isachardoublequote}min\ i\ {\isacharparenleft}max\ j\ {\isacharparenleft}k{\isacharasterisk}k{\isacharparenright}{\isacharparenright}\ {\isacharequal}\ max\ {\isacharparenleft}min\ {\isacharparenleft}k{\isacharasterisk}k{\isacharparenright}\ i{\isacharparenright}\ {\isacharparenleft}min\ i\ {\isacharparenleft}j{\isacharcolon}{\isacharcolon}nat{\isacharparenright}{\isacharparenright}{\isachardoublequote}\isanewline |
4 \isacommand{lemma}\ {\isachardoublequote}min\ i\ {\isacharparenleft}max\ j\ {\isacharparenleft}k{\isacharasterisk}k{\isacharparenright}{\isacharparenright}\ {\isacharequal}\ max\ {\isacharparenleft}min\ {\isacharparenleft}k{\isacharasterisk}k{\isacharparenright}\ i{\isacharparenright}\ {\isacharparenleft}min\ i\ {\isacharparenleft}j{\isacharcolon}{\isacharcolon}nat{\isacharparenright}{\isacharparenright}{\isachardoublequote}\isanewline |
5 \isacommand{apply}{\isacharparenleft}arith{\isacharparenright}\isanewline |
5 \isacommand{apply}{\isacharparenleft}arith{\isacharparenright}\isanewline |
6 \end{isabellebody}% |
6 \end{isabellebody}% |
7 %%% Local Variables: |
7 %%% Local Variables: |
8 %%% mode: latex |
8 %%% mode: latex |