| author | wenzelm |
| Tue, 31 May 2011 22:47:18 +0200 | |
| changeset 44121 | ba23e83b0868 |
| child 44122 | 36daee4cc9c9 |
| permissions | -rw-r--r-- |
| wenzelm@44121 | 1 |
% |
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\begin{isabellebody}%
|
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\def\isabellecontext{Synopsis}%
|
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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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\isacommand{theory}\isamarkupfalse%
|
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\ Synopsis\isanewline |
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\isakeyword{imports}\ Base\ Main\isanewline
|
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\isakeyword{begin}%
|
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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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% |
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\isamarkupchapter{Synopsis%
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} |
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\isamarkuptrue% |
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% |
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\isamarkupsection{Notepad%
|
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} |
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\isamarkuptrue% |
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% |
| wenzelm@44121 | 29 |
\begin{isamarkuptext}%
|
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An Isar proof body serves as mathematical notepad to compose logical |
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content, consisting of facts, terms, types.% |
| wenzelm@44121 | 32 |
\end{isamarkuptext}%
|
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\isamarkuptrue% |
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% |
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\isamarkupsubsection{Facts%
|
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} |
| wenzelm@44121 | 37 |
\isamarkuptrue% |
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% |
| wenzelm@44121 | 39 |
\begin{isamarkuptext}%
|
| wenzelm@44121 | 40 |
A fact is a simultaneous list of theorems.% |
| wenzelm@44121 | 41 |
\end{isamarkuptext}%
|
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\isamarkuptrue% |
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% |
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\isamarkupsubsubsection{Producing facts%
|
| wenzelm@44121 | 45 |
} |
| wenzelm@44121 | 46 |
\isamarkuptrue% |
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\isacommand{notepad}\isamarkupfalse%
|
| wenzelm@44121 | 48 |
\isanewline |
| wenzelm@44121 | 49 |
\isakeyword{begin}%
|
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\isadelimproof |
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% |
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\endisadelimproof |
| wenzelm@44121 | 53 |
% |
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\isatagproof |
| wenzelm@44121 | 55 |
% |
| wenzelm@44121 | 56 |
\begin{isamarkuptxt}%
|
| wenzelm@44121 | 57 |
Via assumption (``lambda''):% |
| wenzelm@44121 | 58 |
\end{isamarkuptxt}%
|
| wenzelm@44121 | 59 |
\isamarkuptrue% |
| wenzelm@44121 | 60 |
\ \ \isacommand{assume}\isamarkupfalse%
|
| wenzelm@44121 | 61 |
\ a{\isaliteral{3A}{\isacharcolon}}\ A%
|
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\begin{isamarkuptxt}%
|
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Via proof (``let''):% |
| wenzelm@44121 | 64 |
\end{isamarkuptxt}%
|
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\isamarkuptrue% |
| wenzelm@44121 | 66 |
\ \ \isacommand{have}\isamarkupfalse%
|
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\ b{\isaliteral{3A}{\isacharcolon}}\ B\ \isacommand{sorry}\isamarkupfalse%
|
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% |
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\begin{isamarkuptxt}%
|
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Via abbreviation (``let''):% |
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\end{isamarkuptxt}%
|
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\isamarkuptrue% |
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\ \ \isacommand{note}\isamarkupfalse%
|
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\ c\ {\isaliteral{3D}{\isacharequal}}\ a\ b%
|
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\endisatagproof |
| wenzelm@44121 | 76 |
{\isafoldproof}%
|
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% |
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\isadelimproof |
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% |
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\endisadelimproof |
| wenzelm@44121 | 81 |
\isanewline |
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\isanewline |
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\isacommand{end}\isamarkupfalse%
|
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% |
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\isamarkupsubsubsection{Referencing facts%
|
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} |
| wenzelm@44121 | 87 |
\isamarkuptrue% |
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\isacommand{notepad}\isamarkupfalse%
|
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\isanewline |
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\isakeyword{begin}%
|
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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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\begin{isamarkuptxt}%
|
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Via explicit name:% |
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\end{isamarkuptxt}%
|
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\isamarkuptrue% |
| wenzelm@44121 | 101 |
\ \ \isacommand{assume}\isamarkupfalse%
|
| wenzelm@44121 | 102 |
\ a{\isaliteral{3A}{\isacharcolon}}\ A\isanewline
|
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\ \ \isacommand{note}\isamarkupfalse%
|
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\ a% |
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\begin{isamarkuptxt}%
|
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Via implicit name:% |
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\end{isamarkuptxt}%
|
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\isamarkuptrue% |
| wenzelm@44121 | 109 |
\ \ \isacommand{assume}\isamarkupfalse%
|
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\ A\isanewline |
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\ \ \isacommand{note}\isamarkupfalse%
|
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\ this% |
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\begin{isamarkuptxt}%
|
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Via literal proposition (unification with results from the proof text):% |
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\end{isamarkuptxt}%
|
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\isamarkuptrue% |
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\ \ \isacommand{assume}\isamarkupfalse%
|
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\ A\isanewline |
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\ \ \isacommand{note}\isamarkupfalse%
|
| wenzelm@44121 | 120 |
\ {\isaliteral{60}{\isacharbackquoteopen}}A{\isaliteral{60}{\isacharbackquoteclose}}\isanewline
|
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\isanewline |
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\ \ \isacommand{assume}\isamarkupfalse%
|
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\ {\isaliteral{22}{\isachardoublequoteopen}}{\isaliteral{5C3C416E643E}{\isasymAnd}}x{\isaliteral{2E}{\isachardot}}\ B\ x{\isaliteral{22}{\isachardoublequoteclose}}\isanewline
|
| wenzelm@44121 | 124 |
\ \ \isacommand{note}\isamarkupfalse%
|
| wenzelm@44121 | 125 |
\ {\isaliteral{60}{\isacharbackquoteopen}}B\ a{\isaliteral{60}{\isacharbackquoteclose}}\isanewline
|
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\ \ \isacommand{note}\isamarkupfalse%
|
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\ {\isaliteral{60}{\isacharbackquoteopen}}B\ b{\isaliteral{60}{\isacharbackquoteclose}}%
|
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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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\isanewline |
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\isacommand{end}\isamarkupfalse%
|
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% |
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\isamarkupsubsubsection{Manipulating facts%
|
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} |
| wenzelm@44121 | 139 |
\isamarkuptrue% |
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\isacommand{notepad}\isamarkupfalse%
|
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\isanewline |
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\isakeyword{begin}%
|
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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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\begin{isamarkuptxt}%
|
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Instantiation:% |
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\end{isamarkuptxt}%
|
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\isamarkuptrue% |
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\ \ \isacommand{assume}\isamarkupfalse%
|
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\ a{\isaliteral{3A}{\isacharcolon}}\ {\isaliteral{22}{\isachardoublequoteopen}}{\isaliteral{5C3C416E643E}{\isasymAnd}}x{\isaliteral{2E}{\isachardot}}\ B\ x{\isaliteral{22}{\isachardoublequoteclose}}\isanewline
|
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\ \ \isacommand{note}\isamarkupfalse%
|
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\ a\isanewline |
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\ \ \isacommand{note}\isamarkupfalse%
|
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\ a\ {\isaliteral{5B}{\isacharbrackleft}}of\ b{\isaliteral{5D}{\isacharbrackright}}\isanewline
|
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\ \ \isacommand{note}\isamarkupfalse%
|
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\ a\ {\isaliteral{5B}{\isacharbrackleft}}\isakeyword{where}\ x\ {\isaliteral{3D}{\isacharequal}}\ b{\isaliteral{5D}{\isacharbrackright}}%
|
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\begin{isamarkuptxt}%
|
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Backchaining:% |
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\end{isamarkuptxt}%
|
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\isamarkuptrue% |
| wenzelm@44121 | 165 |
\ \ \isacommand{assume}\isamarkupfalse%
|
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\ {\isadigit{1}}{\isaliteral{3A}{\isacharcolon}}\ A\isanewline
|
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\ \ \isacommand{assume}\isamarkupfalse%
|
| wenzelm@44121 | 168 |
\ {\isadigit{2}}{\isaliteral{3A}{\isacharcolon}}\ {\isaliteral{22}{\isachardoublequoteopen}}A\ {\isaliteral{5C3C4C6F6E6772696768746172726F773E}{\isasymLongrightarrow}}\ C{\isaliteral{22}{\isachardoublequoteclose}}\isanewline
|
| wenzelm@44121 | 169 |
\ \ \isacommand{note}\isamarkupfalse%
|
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\ {\isadigit{2}}\ {\isaliteral{5B}{\isacharbrackleft}}OF\ {\isadigit{1}}{\isaliteral{5D}{\isacharbrackright}}\isanewline
|
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\ \ \isacommand{note}\isamarkupfalse%
|
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\ {\isadigit{1}}\ {\isaliteral{5B}{\isacharbrackleft}}THEN\ {\isadigit{2}}{\isaliteral{5D}{\isacharbrackright}}%
|
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\begin{isamarkuptxt}%
|
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Symmetric results:% |
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\end{isamarkuptxt}%
|
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\isamarkuptrue% |
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\ \ \isacommand{assume}\isamarkupfalse%
|
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\ {\isaliteral{22}{\isachardoublequoteopen}}x\ {\isaliteral{3D}{\isacharequal}}\ y{\isaliteral{22}{\isachardoublequoteclose}}\isanewline
|
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\ \ \isacommand{note}\isamarkupfalse%
|
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\ this\ {\isaliteral{5B}{\isacharbrackleft}}symmetric{\isaliteral{5D}{\isacharbrackright}}\isanewline
|
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\isanewline |
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\ \ \isacommand{assume}\isamarkupfalse%
|
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\ {\isaliteral{22}{\isachardoublequoteopen}}x\ {\isaliteral{5C3C6E6F7465713E}{\isasymnoteq}}\ y{\isaliteral{22}{\isachardoublequoteclose}}\isanewline
|
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\ \ \isacommand{note}\isamarkupfalse%
|
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\ this\ {\isaliteral{5B}{\isacharbrackleft}}symmetric{\isaliteral{5D}{\isacharbrackright}}%
|
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\begin{isamarkuptxt}%
|
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Adhoc-simplication (take care!):% |
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\end{isamarkuptxt}%
|
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\isamarkuptrue% |
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\ \ \isacommand{assume}\isamarkupfalse%
|
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\ {\isaliteral{22}{\isachardoublequoteopen}}P\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}\ {\isaliteral{40}{\isacharat}}\ xs{\isaliteral{29}{\isacharparenright}}{\isaliteral{22}{\isachardoublequoteclose}}\isanewline
|
| wenzelm@44121 | 192 |
\ \ \isacommand{note}\isamarkupfalse%
|
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\ this\ {\isaliteral{5B}{\isacharbrackleft}}simplified{\isaliteral{5D}{\isacharbrackright}}%
|
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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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\isanewline |
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\isacommand{end}\isamarkupfalse%
|
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% |
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\isamarkupsubsubsection{Projections%
|
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} |
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\isamarkuptrue% |
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% |
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\begin{isamarkuptext}%
|
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Isar facts consist of multiple theorems. There is notation to project |
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interval ranges.% |
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\end{isamarkuptext}%
|
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\isamarkuptrue% |
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\isacommand{notepad}\isamarkupfalse%
|
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\isanewline |
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\isakeyword{begin}\isanewline
|
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% |
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\isadelimproof |
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\ \ % |
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\endisadelimproof |
| wenzelm@44121 | 219 |
% |
| wenzelm@44121 | 220 |
\isatagproof |
| wenzelm@44121 | 221 |
\isacommand{assume}\isamarkupfalse%
|
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\ stuff{\isaliteral{3A}{\isacharcolon}}\ A\ B\ C\ D\isanewline
|
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\ \ \isacommand{note}\isamarkupfalse%
|
| wenzelm@44121 | 224 |
\ stuff{\isaliteral{28}{\isacharparenleft}}{\isadigit{1}}{\isaliteral{29}{\isacharparenright}}\isanewline
|
| wenzelm@44121 | 225 |
\ \ \isacommand{note}\isamarkupfalse%
|
| wenzelm@44121 | 226 |
\ stuff{\isaliteral{28}{\isacharparenleft}}{\isadigit{2}}{\isaliteral{2D}{\isacharminus}}{\isadigit{3}}{\isaliteral{29}{\isacharparenright}}\isanewline
|
| wenzelm@44121 | 227 |
\ \ \isacommand{note}\isamarkupfalse%
|
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\ stuff{\isaliteral{28}{\isacharparenleft}}{\isadigit{2}}{\isaliteral{2D}{\isacharminus}}{\isaliteral{29}{\isacharparenright}}%
|
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\endisatagproof |
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{\isafoldproof}%
|
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% |
| wenzelm@44121 | 232 |
\isadelimproof |
| wenzelm@44121 | 233 |
\isanewline |
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% |
| wenzelm@44121 | 235 |
\endisadelimproof |
| wenzelm@44121 | 236 |
\isacommand{end}\isamarkupfalse%
|
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% |
| wenzelm@44121 | 238 |
\isamarkupsubsubsection{Naming conventions%
|
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} |
| wenzelm@44121 | 240 |
\isamarkuptrue% |
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% |
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\begin{isamarkuptext}%
|
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\begin{itemize}
|
| wenzelm@44121 | 244 |
|
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\item Lower-case identifiers are usually preferred. |
| wenzelm@44121 | 246 |
|
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\item Facts can be named after the main term within the proposition. |
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|
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\item Facts should \emph{not} be named after the command that
|
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introduced them (\hyperlink{command.assume}{\mbox{\isa{\isacommand{assume}}}}, \hyperlink{command.have}{\mbox{\isa{\isacommand{have}}}}). This is
|
| wenzelm@44121 | 251 |
misleading and hard to maintain. |
| wenzelm@44121 | 252 |
|
| wenzelm@44121 | 253 |
\item Natural numbers can be used as ``meaningless'' names (more |
| wenzelm@44121 | 254 |
appropriate than \isa{{\isaliteral{22}{\isachardoublequote}}a{\isadigit{1}}{\isaliteral{22}{\isachardoublequote}}}, \isa{{\isaliteral{22}{\isachardoublequote}}a{\isadigit{2}}{\isaliteral{22}{\isachardoublequote}}} etc.)
|
| wenzelm@44121 | 255 |
|
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\item Symbolic identifiers are supported (e.g. \isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{22}{\isachardoublequote}}}, \isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{22}{\isachardoublequote}}}, \isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{22}{\isachardoublequote}}}).
|
| wenzelm@44121 | 257 |
|
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\end{itemize}%
|
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\end{isamarkuptext}%
|
| wenzelm@44121 | 260 |
\isamarkuptrue% |
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% |
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\isamarkupsubsection{Block structure%
|
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} |
| wenzelm@44121 | 264 |
\isamarkuptrue% |
| wenzelm@44121 | 265 |
% |
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\begin{isamarkuptext}%
|
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The formal notepad is block structured. The fact produced by the last |
| wenzelm@44121 | 268 |
entry of a block is exported into the outer context.% |
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\end{isamarkuptext}%
|
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\isamarkuptrue% |
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\isacommand{notepad}\isamarkupfalse%
|
| wenzelm@44121 | 272 |
\isanewline |
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\isakeyword{begin}\isanewline
|
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% |
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\isadelimproof |
| wenzelm@44121 | 276 |
\ \ % |
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\endisadelimproof |
| wenzelm@44121 | 278 |
% |
| wenzelm@44121 | 279 |
\isatagproof |
| wenzelm@44121 | 280 |
\isacommand{{\isaliteral{7B}{\isacharbraceleft}}}\isamarkupfalse%
|
| wenzelm@44121 | 281 |
\isanewline |
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\ \ \ \ \isacommand{have}\isamarkupfalse%
|
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\ a{\isaliteral{3A}{\isacharcolon}}\ A\ \isacommand{sorry}\isamarkupfalse%
|
| wenzelm@44121 | 284 |
\isanewline |
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\ \ \ \ \isacommand{have}\isamarkupfalse%
|
| wenzelm@44121 | 286 |
\ b{\isaliteral{3A}{\isacharcolon}}\ B\ \isacommand{sorry}\isamarkupfalse%
|
| wenzelm@44121 | 287 |
\isanewline |
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\ \ \ \ \isacommand{note}\isamarkupfalse%
|
| wenzelm@44121 | 289 |
\ a\ b\isanewline |
| wenzelm@44121 | 290 |
\ \ \isacommand{{\isaliteral{7D}{\isacharbraceright}}}\isamarkupfalse%
|
| wenzelm@44121 | 291 |
\isanewline |
| wenzelm@44121 | 292 |
\ \ \isacommand{note}\isamarkupfalse%
|
| wenzelm@44121 | 293 |
\ this\isanewline |
| wenzelm@44121 | 294 |
\ \ \isacommand{note}\isamarkupfalse%
|
| wenzelm@44121 | 295 |
\ {\isaliteral{60}{\isacharbackquoteopen}}A{\isaliteral{60}{\isacharbackquoteclose}}\isanewline
|
| wenzelm@44121 | 296 |
\ \ \isacommand{note}\isamarkupfalse%
|
| wenzelm@44121 | 297 |
\ {\isaliteral{60}{\isacharbackquoteopen}}B{\isaliteral{60}{\isacharbackquoteclose}}%
|
| wenzelm@44121 | 298 |
\endisatagproof |
| wenzelm@44121 | 299 |
{\isafoldproof}%
|
| wenzelm@44121 | 300 |
% |
| wenzelm@44121 | 301 |
\isadelimproof |
| wenzelm@44121 | 302 |
\isanewline |
| wenzelm@44121 | 303 |
% |
| wenzelm@44121 | 304 |
\endisadelimproof |
| wenzelm@44121 | 305 |
\isacommand{end}\isamarkupfalse%
|
| wenzelm@44121 | 306 |
% |
| wenzelm@44121 | 307 |
\begin{isamarkuptext}%
|
| wenzelm@44121 | 308 |
Explicit blocks as well as implicit blocks of nested goal |
| wenzelm@44121 | 309 |
statements (e.g.\ \hyperlink{command.have}{\mbox{\isa{\isacommand{have}}}}) automatically introduce one extra
|
| wenzelm@44121 | 310 |
pair of parentheses in reserve. The \hyperlink{command.next}{\mbox{\isa{\isacommand{next}}}} command allows
|
| wenzelm@44121 | 311 |
to ``jump'' these sub-blocks.% |
| wenzelm@44121 | 312 |
\end{isamarkuptext}%
|
| wenzelm@44121 | 313 |
\isamarkuptrue% |
| wenzelm@44121 | 314 |
\isacommand{notepad}\isamarkupfalse%
|
| wenzelm@44121 | 315 |
\isanewline |
| wenzelm@44121 | 316 |
\isakeyword{begin}\isanewline
|
| wenzelm@44121 | 317 |
% |
| wenzelm@44121 | 318 |
\isadelimproof |
| wenzelm@44121 | 319 |
\isanewline |
| wenzelm@44121 | 320 |
\ \ % |
| wenzelm@44121 | 321 |
\endisadelimproof |
| wenzelm@44121 | 322 |
% |
| wenzelm@44121 | 323 |
\isatagproof |
| wenzelm@44121 | 324 |
\isacommand{{\isaliteral{7B}{\isacharbraceleft}}}\isamarkupfalse%
|
| wenzelm@44121 | 325 |
\isanewline |
| wenzelm@44121 | 326 |
\ \ \ \ \isacommand{have}\isamarkupfalse%
|
| wenzelm@44121 | 327 |
\ a{\isaliteral{3A}{\isacharcolon}}\ A\ \isacommand{sorry}\isamarkupfalse%
|
| wenzelm@44121 | 328 |
\isanewline |
| wenzelm@44121 | 329 |
\ \ \isacommand{next}\isamarkupfalse%
|
| wenzelm@44121 | 330 |
\isanewline |
| wenzelm@44121 | 331 |
\ \ \ \ \isacommand{have}\isamarkupfalse%
|
| wenzelm@44121 | 332 |
\ b{\isaliteral{3A}{\isacharcolon}}\ B\isanewline
|
| wenzelm@44121 | 333 |
\ \ \ \ \isacommand{proof}\isamarkupfalse%
|
| wenzelm@44121 | 334 |
\ {\isaliteral{2D}{\isacharminus}}\isanewline
|
| wenzelm@44121 | 335 |
\ \ \ \ \ \ \isacommand{show}\isamarkupfalse%
|
| wenzelm@44121 | 336 |
\ B\ \isacommand{sorry}\isamarkupfalse%
|
| wenzelm@44121 | 337 |
\isanewline |
| wenzelm@44121 | 338 |
\ \ \ \ \isacommand{next}\isamarkupfalse%
|
| wenzelm@44121 | 339 |
\isanewline |
| wenzelm@44121 | 340 |
\ \ \ \ \ \ \isacommand{have}\isamarkupfalse%
|
| wenzelm@44121 | 341 |
\ c{\isaliteral{3A}{\isacharcolon}}\ C\ \isacommand{sorry}\isamarkupfalse%
|
| wenzelm@44121 | 342 |
\isanewline |
| wenzelm@44121 | 343 |
\ \ \ \ \isacommand{next}\isamarkupfalse%
|
| wenzelm@44121 | 344 |
\isanewline |
| wenzelm@44121 | 345 |
\ \ \ \ \ \ \isacommand{have}\isamarkupfalse%
|
| wenzelm@44121 | 346 |
\ d{\isaliteral{3A}{\isacharcolon}}\ D\ \isacommand{sorry}\isamarkupfalse%
|
| wenzelm@44121 | 347 |
\isanewline |
| wenzelm@44121 | 348 |
\ \ \ \ \isacommand{qed}\isamarkupfalse%
|
| wenzelm@44121 | 349 |
\isanewline |
| wenzelm@44121 | 350 |
\ \ \isacommand{{\isaliteral{7D}{\isacharbraceright}}}\isamarkupfalse%
|
| wenzelm@44121 | 351 |
% |
| wenzelm@44121 | 352 |
\begin{isamarkuptxt}%
|
| wenzelm@44121 | 353 |
Alternative version with explicit parentheses everywhere:% |
| wenzelm@44121 | 354 |
\end{isamarkuptxt}%
|
| wenzelm@44121 | 355 |
\isamarkuptrue% |
| wenzelm@44121 | 356 |
\ \ \isacommand{{\isaliteral{7B}{\isacharbraceleft}}}\isamarkupfalse%
|
| wenzelm@44121 | 357 |
\isanewline |
| wenzelm@44121 | 358 |
\ \ \ \ \isacommand{{\isaliteral{7B}{\isacharbraceleft}}}\isamarkupfalse%
|
| wenzelm@44121 | 359 |
\isanewline |
| wenzelm@44121 | 360 |
\ \ \ \ \ \ \isacommand{have}\isamarkupfalse%
|
| wenzelm@44121 | 361 |
\ a{\isaliteral{3A}{\isacharcolon}}\ A\ \isacommand{sorry}\isamarkupfalse%
|
| wenzelm@44121 | 362 |
\isanewline |
| wenzelm@44121 | 363 |
\ \ \ \ \isacommand{{\isaliteral{7D}{\isacharbraceright}}}\isamarkupfalse%
|
| wenzelm@44121 | 364 |
\isanewline |
| wenzelm@44121 | 365 |
\ \ \ \ \isacommand{{\isaliteral{7B}{\isacharbraceleft}}}\isamarkupfalse%
|
| wenzelm@44121 | 366 |
\isanewline |
| wenzelm@44121 | 367 |
\ \ \ \ \ \ \isacommand{have}\isamarkupfalse%
|
| wenzelm@44121 | 368 |
\ b{\isaliteral{3A}{\isacharcolon}}\ B\isanewline
|
| wenzelm@44121 | 369 |
\ \ \ \ \ \ \isacommand{proof}\isamarkupfalse%
|
| wenzelm@44121 | 370 |
\ {\isaliteral{2D}{\isacharminus}}\isanewline
|
| wenzelm@44121 | 371 |
\ \ \ \ \ \ \ \ \isacommand{{\isaliteral{7B}{\isacharbraceleft}}}\isamarkupfalse%
|
| wenzelm@44121 | 372 |
\isanewline |
| wenzelm@44121 | 373 |
\ \ \ \ \ \ \ \ \ \ \isacommand{show}\isamarkupfalse%
|
| wenzelm@44121 | 374 |
\ B\ \isacommand{sorry}\isamarkupfalse%
|
| wenzelm@44121 | 375 |
\isanewline |
| wenzelm@44121 | 376 |
\ \ \ \ \ \ \ \ \isacommand{{\isaliteral{7D}{\isacharbraceright}}}\isamarkupfalse%
|
| wenzelm@44121 | 377 |
\isanewline |
| wenzelm@44121 | 378 |
\ \ \ \ \ \ \ \ \isacommand{{\isaliteral{7B}{\isacharbraceleft}}}\isamarkupfalse%
|
| wenzelm@44121 | 379 |
\isanewline |
| wenzelm@44121 | 380 |
\ \ \ \ \ \ \ \ \ \ \isacommand{have}\isamarkupfalse%
|
| wenzelm@44121 | 381 |
\ c{\isaliteral{3A}{\isacharcolon}}\ C\ \isacommand{sorry}\isamarkupfalse%
|
| wenzelm@44121 | 382 |
\isanewline |
| wenzelm@44121 | 383 |
\ \ \ \ \ \ \ \ \isacommand{{\isaliteral{7D}{\isacharbraceright}}}\isamarkupfalse%
|
| wenzelm@44121 | 384 |
\isanewline |
| wenzelm@44121 | 385 |
\ \ \ \ \ \ \ \ \isacommand{{\isaliteral{7B}{\isacharbraceleft}}}\isamarkupfalse%
|
| wenzelm@44121 | 386 |
\isanewline |
| wenzelm@44121 | 387 |
\ \ \ \ \ \ \ \ \ \ \isacommand{have}\isamarkupfalse%
|
| wenzelm@44121 | 388 |
\ d{\isaliteral{3A}{\isacharcolon}}\ D\ \isacommand{sorry}\isamarkupfalse%
|
| wenzelm@44121 | 389 |
\isanewline |
| wenzelm@44121 | 390 |
\ \ \ \ \ \ \ \ \isacommand{{\isaliteral{7D}{\isacharbraceright}}}\isamarkupfalse%
|
| wenzelm@44121 | 391 |
\isanewline |
| wenzelm@44121 | 392 |
\ \ \ \ \ \ \isacommand{qed}\isamarkupfalse%
|
| wenzelm@44121 | 393 |
\isanewline |
| wenzelm@44121 | 394 |
\ \ \ \ \isacommand{{\isaliteral{7D}{\isacharbraceright}}}\isamarkupfalse%
|
| wenzelm@44121 | 395 |
\isanewline |
| wenzelm@44121 | 396 |
\ \ \isacommand{{\isaliteral{7D}{\isacharbraceright}}}\isamarkupfalse%
|
| wenzelm@44121 | 397 |
% |
| wenzelm@44121 | 398 |
\endisatagproof |
| wenzelm@44121 | 399 |
{\isafoldproof}%
|
| wenzelm@44121 | 400 |
% |
| wenzelm@44121 | 401 |
\isadelimproof |
| wenzelm@44121 | 402 |
\isanewline |
| wenzelm@44121 | 403 |
% |
| wenzelm@44121 | 404 |
\endisadelimproof |
| wenzelm@44121 | 405 |
\isanewline |
| wenzelm@44121 | 406 |
\isacommand{end}\isamarkupfalse%
|
| wenzelm@44121 | 407 |
% |
| wenzelm@44121 | 408 |
\isamarkupsubsection{Terms and Types%
|
| wenzelm@44121 | 409 |
} |
| wenzelm@44121 | 410 |
\isamarkuptrue% |
| wenzelm@44121 | 411 |
\isacommand{notepad}\isamarkupfalse%
|
| wenzelm@44121 | 412 |
\isanewline |
| wenzelm@44121 | 413 |
\isakeyword{begin}%
|
| wenzelm@44121 | 414 |
\isadelimproof |
| wenzelm@44121 | 415 |
% |
| wenzelm@44121 | 416 |
\endisadelimproof |
| wenzelm@44121 | 417 |
% |
| wenzelm@44121 | 418 |
\isatagproof |
| wenzelm@44121 | 419 |
% |
| wenzelm@44121 | 420 |
\begin{isamarkuptxt}%
|
| wenzelm@44121 | 421 |
Locally fixed entities:% |
| wenzelm@44121 | 422 |
\end{isamarkuptxt}%
|
| wenzelm@44121 | 423 |
\isamarkuptrue% |
| wenzelm@44121 | 424 |
\ \ \isacommand{fix}\isamarkupfalse%
|
| wenzelm@44121 | 425 |
\ x\ \ \ % |
| wenzelm@44121 | 426 |
\isamarkupcmt{local constant, without any type information yet%
|
| wenzelm@44121 | 427 |
} |
| wenzelm@44121 | 428 |
\isanewline |
| wenzelm@44121 | 429 |
\ \ \isacommand{fix}\isamarkupfalse%
|
| wenzelm@44121 | 430 |
\ x\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}\ {\isaliteral{27}{\isacharprime}}a\ \ %
|
| wenzelm@44121 | 431 |
\isamarkupcmt{variant with explicit type-constraint for subsequent use%
|
| wenzelm@44121 | 432 |
} |
| wenzelm@44121 | 433 |
\isanewline |
| wenzelm@44121 | 434 |
\isanewline |
| wenzelm@44121 | 435 |
\ \ \isacommand{fix}\isamarkupfalse%
|
| wenzelm@44121 | 436 |
\ a\ b\isanewline |
| wenzelm@44121 | 437 |
\ \ \isacommand{assume}\isamarkupfalse%
|
| wenzelm@44121 | 438 |
\ {\isaliteral{22}{\isachardoublequoteopen}}a\ {\isaliteral{3D}{\isacharequal}}\ b{\isaliteral{22}{\isachardoublequoteclose}}\ \ %
|
| wenzelm@44121 | 439 |
\isamarkupcmt{type assignment at first occurrence in concrete term%
|
| wenzelm@44121 | 440 |
} |
| wenzelm@44121 | 441 |
% |
| wenzelm@44121 | 442 |
\begin{isamarkuptxt}%
|
| wenzelm@44121 | 443 |
Definitions (non-polymorphic):% |
| wenzelm@44121 | 444 |
\end{isamarkuptxt}%
|
| wenzelm@44121 | 445 |
\isamarkuptrue% |
| wenzelm@44121 | 446 |
\ \ \isacommand{def}\isamarkupfalse%
|
| wenzelm@44121 | 447 |
\ x\ {\isaliteral{5C3C65717569763E}{\isasymequiv}}\ {\isaliteral{22}{\isachardoublequoteopen}}t{\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}{\isaliteral{27}{\isacharprime}}a{\isaliteral{22}{\isachardoublequoteclose}}%
|
| wenzelm@44121 | 448 |
\begin{isamarkuptxt}%
|
| wenzelm@44121 | 449 |
Abbreviations (polymorphic):% |
| wenzelm@44121 | 450 |
\end{isamarkuptxt}%
|
| wenzelm@44121 | 451 |
\isamarkuptrue% |
| wenzelm@44121 | 452 |
\ \ \isacommand{let}\isamarkupfalse%
|
| wenzelm@44121 | 453 |
\ {\isaliteral{3F}{\isacharquery}}f\ {\isaliteral{3D}{\isacharequal}}\ {\isaliteral{22}{\isachardoublequoteopen}}{\isaliteral{5C3C6C616D6264613E}{\isasymlambda}}x{\isaliteral{2E}{\isachardot}}\ x{\isaliteral{22}{\isachardoublequoteclose}}%
|
| wenzelm@44121 | 454 |
\endisatagproof |
| wenzelm@44121 | 455 |
{\isafoldproof}%
|
| wenzelm@44121 | 456 |
% |
| wenzelm@44121 | 457 |
\isadelimproof |
| wenzelm@44121 | 458 |
% |
| wenzelm@44121 | 459 |
\endisadelimproof |
| wenzelm@44121 | 460 |
\isanewline |
| wenzelm@44121 | 461 |
\ \ \isacommand{term}\isamarkupfalse%
|
| wenzelm@44121 | 462 |
\ {\isaliteral{22}{\isachardoublequoteopen}}{\isaliteral{3F}{\isacharquery}}f\ {\isaliteral{3F}{\isacharquery}}f{\isaliteral{22}{\isachardoublequoteclose}}%
|
| wenzelm@44121 | 463 |
\isadelimproof |
| wenzelm@44121 | 464 |
% |
| wenzelm@44121 | 465 |
\endisadelimproof |
| wenzelm@44121 | 466 |
% |
| wenzelm@44121 | 467 |
\isatagproof |
| wenzelm@44121 | 468 |
% |
| wenzelm@44121 | 469 |
\begin{isamarkuptxt}%
|
| wenzelm@44121 | 470 |
Notation:% |
| wenzelm@44121 | 471 |
\end{isamarkuptxt}%
|
| wenzelm@44121 | 472 |
\isamarkuptrue% |
| wenzelm@44121 | 473 |
\ \ \isacommand{write}\isamarkupfalse%
|
| wenzelm@44121 | 474 |
\ x\ \ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{22}{\isachardoublequoteopen}}{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{22}{\isachardoublequoteclose}}{\isaliteral{29}{\isacharparenright}}%
|
| wenzelm@44121 | 475 |
\endisatagproof |
| wenzelm@44121 | 476 |
{\isafoldproof}%
|
| wenzelm@44121 | 477 |
% |
| wenzelm@44121 | 478 |
\isadelimproof |
| wenzelm@44121 | 479 |
% |
| wenzelm@44121 | 480 |
\endisadelimproof |
| wenzelm@44121 | 481 |
\isanewline |
| wenzelm@44121 | 482 |
\isacommand{end}\isamarkupfalse%
|
| wenzelm@44121 | 483 |
\isanewline |
| wenzelm@44121 | 484 |
% |
| wenzelm@44121 | 485 |
\isadelimtheory |
| wenzelm@44121 | 486 |
\isanewline |
| wenzelm@44121 | 487 |
% |
| wenzelm@44121 | 488 |
\endisadelimtheory |
| wenzelm@44121 | 489 |
% |
| wenzelm@44121 | 490 |
\isatagtheory |
| wenzelm@44121 | 491 |
\isacommand{end}\isamarkupfalse%
|
| wenzelm@44121 | 492 |
% |
| wenzelm@44121 | 493 |
\endisatagtheory |
| wenzelm@44121 | 494 |
{\isafoldtheory}%
|
| wenzelm@44121 | 495 |
% |
| wenzelm@44121 | 496 |
\isadelimtheory |
| wenzelm@44121 | 497 |
% |
| wenzelm@44121 | 498 |
\endisadelimtheory |
| wenzelm@44121 | 499 |
\end{isabellebody}%
|
| wenzelm@44121 | 500 |
%%% Local Variables: |
| wenzelm@44121 | 501 |
%%% mode: latex |
| wenzelm@44121 | 502 |
%%% TeX-master: "root" |
| wenzelm@44121 | 503 |
%%% End: |