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\begin{isabellebody}%
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9673
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\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
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\isacommand{by}{\isacharparenleft}arith{\isacharparenright}\isanewline
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\end{isabellebody}%
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9145
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%%% mode: latex
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%%% TeX-master: "root"
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%%% End:
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