doc-src/TutorialI/Types/document/Overloading2.tex
author nipkow
Mon, 23 Oct 2000 20:58:12 +0200
changeset 10305 adff80268127
child 10328 bf33cbd76c05
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     1 %
     2 \begin{isabellebody}%
     3 \def\isabellecontext{Overloading{\isadigit{2}}}%
     4 %
     5 \begin{isamarkuptext}%
     6 Of course this is not the only possible definition of the two relations.
     7 Componentwise%
     8 \end{isamarkuptext}%
     9 \isacommand{instance}\ list\ {\isacharcolon}{\isacharcolon}\ {\isacharparenleft}ordrel{\isacharparenright}ordrel\isanewline
    10 \isacommand{by}\ intro{\isacharunderscore}classes\isanewline
    11 \isanewline
    12 \isacommand{defs}\ {\isacharparenleft}\isakeyword{overloaded}{\isacharparenright}\isanewline
    13 le{\isacharunderscore}list{\isacharunderscore}def{\isacharcolon}\ {\isachardoublequote}xs\ {\isacharless}{\isacharless}{\isacharequal}\ {\isacharparenleft}ys{\isacharcolon}{\isacharcolon}{\isacharprime}a{\isacharcolon}{\isacharcolon}ordrel\ list{\isacharparenright}\ {\isasymequiv}\isanewline
    14 \ \ \ \ \ \ \ \ \ \ \ \ \ \ size\ xs\ {\isacharequal}\ size\ ys\ {\isasymand}\ {\isacharparenleft}{\isasymforall}i{\isacharless}size\ xs{\isachardot}\ xs{\isacharbang}i\ {\isacharless}{\isacharless}{\isacharequal}\ ys{\isacharbang}i{\isacharparenright}{\isachardoublequote}%
    15 \begin{isamarkuptext}%
    16 %However, we retract the componetwise comparison of lists and return
    17 
    18 Note: only one definition because based on name.%
    19 \end{isamarkuptext}%
    20 \isanewline
    21 \end{isabellebody}%
    22 %%% Local Variables:
    23 %%% mode: latex
    24 %%% TeX-master: "root"
    25 %%% End: