doc-src/TutorialI/Misc/document/prime_def.tex
author nipkow
Tue, 29 Aug 2000 15:13:10 +0200
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\begin{isabelle}%
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\isanewline
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\ \ \ \ {\isachardoublequote}prime{\isacharparenleft}p{\isacharparenright}\ {\isasymequiv}\ \isadigit{1}\ {\isacharless}\ p\ {\isasymand}\ {\isacharparenleft}m\ dvd\ p\ {\isasymlongrightarrow}\ {\isacharparenleft}m{\isacharequal}\isadigit{1}\ {\isasymor}\ m{\isacharequal}p{\isacharparenright}{\isacharparenright}{\isachardoublequote}%
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\begin{isamarkuptext}%
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\noindent\small
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where \isa{dvd} means ``divides''.
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Isabelle rejects this ``definition'' because of the extra \isa{m} on the
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right-hand side, which would introduce an inconsistency (why?). What you
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should have written is%
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\end{isamarkuptext}%
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\ {\isachardoublequote}prime{\isacharparenleft}p{\isacharparenright}\ {\isasymequiv}\ \isadigit{1}\ {\isacharless}\ p\ {\isasymand}\ {\isacharparenleft}{\isasymforall}m{\isachardot}\ m\ dvd\ p\ {\isasymlongrightarrow}\ {\isacharparenleft}m{\isacharequal}\isadigit{1}\ {\isasymor}\ m{\isacharequal}p{\isacharparenright}{\isacharparenright}{\isachardoublequote}\end{isabelle}%
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%%% Local Variables:
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%%% mode: latex
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%%% TeX-master: "root"
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%%% End: