author | wenzelm |
Mon, 08 Nov 2010 00:00:47 +0100 | |
changeset 40406 | 313a24b66a8d |
parent 27238 | d2bf12727c8a |
child 42765 | aec61b60ff7b |
permissions | -rw-r--r-- |
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LaTeX code is now generated directly from theory files.
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\begin{isabellebody}% |
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\def\isabellecontext{Message}% |
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\isadelimtheory |
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\endisadelimtheory |
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\isatagtheory |
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% |
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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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LaTeX code is now generated directly from theory files.
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\endisadelimtheory |
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% |
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LaTeX code is now generated directly from theory files.
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\isadelimproof |
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LaTeX code is now generated directly from theory files.
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% |
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LaTeX code is now generated directly from theory files.
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\endisadelimproof |
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LaTeX code is now generated directly from theory files.
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% |
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LaTeX code is now generated directly from theory files.
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\isatagproof |
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LaTeX code is now generated directly from theory files.
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% |
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LaTeX code is now generated directly from theory files.
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\endisatagproof |
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{\isafoldproof}% |
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LaTeX code is now generated directly from theory files.
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% |
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LaTeX code is now generated directly from theory files.
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\isadelimproof |
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LaTeX code is now generated directly from theory files.
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% |
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LaTeX code is now generated directly from theory files.
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\endisadelimproof |
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LaTeX code is now generated directly from theory files.
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% |
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\isamarkupsection{Agents and Messages% |
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} |
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\isamarkuptrue% |
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% |
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\begin{isamarkuptext}% |
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All protocol specifications refer to a syntactic theory of messages. |
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Datatype |
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\isa{agent} introduces the constant \isa{Server} (a trusted central |
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machine, needed for some protocols), an infinite population of |
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friendly agents, and the~\isa{Spy}:% |
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\end{isamarkuptext}% |
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\isamarkuptrue% |
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\isacommand{datatype}\isamarkupfalse% |
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\ agent\ {\isaliteral{3D}{\isacharequal}}\ Server\ {\isaliteral{7C}{\isacharbar}}\ Friend\ nat\ {\isaliteral{7C}{\isacharbar}}\ Spy% |
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\begin{isamarkuptext}% |
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Keys are just natural numbers. Function \isa{invKey} maps a public key to |
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the matching private key, and vice versa:% |
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\end{isamarkuptext}% |
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\isamarkuptrue% |
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\isacommand{types}\isamarkupfalse% |
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\ key\ {\isaliteral{3D}{\isacharequal}}\ nat\isanewline |
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\isacommand{consts}\isamarkupfalse% |
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\ invKey\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}\ {\isaliteral{22}{\isachardoublequoteopen}}key\ {\isaliteral{5C3C52696768746172726F773E}{\isasymRightarrow}}\ key{\isaliteral{22}{\isachardoublequoteclose}}% |
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\isadelimproof |
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LaTeX code is now generated directly from theory files.
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% |
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LaTeX code is now generated directly from theory files.
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\endisadelimproof |
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LaTeX code is now generated directly from theory files.
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57 |
% |
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LaTeX code is now generated directly from theory files.
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\isatagproof |
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LaTeX code is now generated directly from theory files.
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59 |
% |
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LaTeX code is now generated directly from theory files.
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\endisatagproof |
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LaTeX code is now generated directly from theory files.
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{\isafoldproof}% |
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LaTeX code is now generated directly from theory files.
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62 |
% |
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LaTeX code is now generated directly from theory files.
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\isadelimproof |
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LaTeX code is now generated directly from theory files.
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64 |
% |
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LaTeX code is now generated directly from theory files.
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\endisadelimproof |
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LaTeX code is now generated directly from theory files.
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66 |
% |
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LaTeX code is now generated directly from theory files.
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\begin{isamarkuptext}% |
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Datatype |
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\isa{msg} introduces the message forms, which include agent names, nonces, |
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keys, compound messages, and encryptions.% |
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\end{isamarkuptext}% |
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\isamarkuptrue% |
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\isacommand{datatype}\isamarkupfalse% |
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\isanewline |
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\ \ \ \ \ msg\ {\isaliteral{3D}{\isacharequal}}\ Agent\ \ agent\isanewline |
76 |
\ \ \ \ \ \ \ \ \ {\isaliteral{7C}{\isacharbar}}\ Nonce\ \ nat\isanewline |
|
77 |
\ \ \ \ \ \ \ \ \ {\isaliteral{7C}{\isacharbar}}\ Key\ \ \ \ key\isanewline |
|
78 |
\ \ \ \ \ \ \ \ \ {\isaliteral{7C}{\isacharbar}}\ MPair\ \ msg\ msg\isanewline |
|
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\ \ \ \ \ \ \ \ \ {\isaliteral{7C}{\isacharbar}}\ Crypt\ \ key\ msg% |
|
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\begin{isamarkuptext}% |
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\noindent |
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The notation $\comp{X\sb 1,\ldots X\sb{n-1},X\sb n}$ |
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abbreviates |
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$\isa{MPair}\,X\sb 1\,\ldots\allowbreak(\isa{MPair}\,X\sb{n-1}\,X\sb n)$. |
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85 |
|
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Since datatype constructors are injective, we have the theorem |
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\begin{isabelle}% |
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Crypt\ K\ X\ {\isaliteral{3D}{\isacharequal}}\ Crypt\ K{\isaliteral{27}{\isacharprime}}\ X{\isaliteral{27}{\isacharprime}}\ {\isaliteral{5C3C4C6F6E6772696768746172726F773E}{\isasymLongrightarrow}}\ K\ {\isaliteral{3D}{\isacharequal}}\ K{\isaliteral{27}{\isacharprime}}\ {\isaliteral{5C3C616E643E}{\isasymand}}\ X\ {\isaliteral{3D}{\isacharequal}}\ X{\isaliteral{27}{\isacharprime}}% |
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\end{isabelle} |
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A ciphertext can be decrypted using only one key and |
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can yield only one plaintext. In the real world, decryption with the |
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wrong key succeeds but yields garbage. Our model of encryption is |
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realistic if encryption adds some redundancy to the plaintext, such as a |
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checksum, so that garbage can be detected.% |
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LaTeX code is now generated directly from theory files.
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\end{isamarkuptext}% |
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LaTeX code is now generated directly from theory files.
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\isamarkuptrue% |
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97 |
% |
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LaTeX code is now generated directly from theory files.
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98 |
\isadelimproof |
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LaTeX code is now generated directly from theory files.
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99 |
% |
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LaTeX code is now generated directly from theory files.
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100 |
\endisadelimproof |
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LaTeX code is now generated directly from theory files.
berghofe
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101 |
% |
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LaTeX code is now generated directly from theory files.
berghofe
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102 |
\isatagproof |
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LaTeX code is now generated directly from theory files.
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103 |
% |
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LaTeX code is now generated directly from theory files.
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104 |
\endisatagproof |
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LaTeX code is now generated directly from theory files.
berghofe
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105 |
{\isafoldproof}% |
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LaTeX code is now generated directly from theory files.
berghofe
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106 |
% |
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LaTeX code is now generated directly from theory files.
berghofe
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107 |
\isadelimproof |
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LaTeX code is now generated directly from theory files.
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108 |
% |
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LaTeX code is now generated directly from theory files.
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109 |
\endisadelimproof |
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LaTeX code is now generated directly from theory files.
berghofe
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110 |
% |
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LaTeX code is now generated directly from theory files.
berghofe
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111 |
\isadelimproof |
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LaTeX code is now generated directly from theory files.
berghofe
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112 |
% |
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LaTeX code is now generated directly from theory files.
berghofe
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113 |
\endisadelimproof |
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LaTeX code is now generated directly from theory files.
berghofe
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|
114 |
% |
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LaTeX code is now generated directly from theory files.
berghofe
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115 |
\isatagproof |
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LaTeX code is now generated directly from theory files.
berghofe
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|
116 |
% |
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LaTeX code is now generated directly from theory files.
berghofe
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|
117 |
\endisatagproof |
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LaTeX code is now generated directly from theory files.
berghofe
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|
118 |
{\isafoldproof}% |
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LaTeX code is now generated directly from theory files.
berghofe
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|
119 |
% |
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LaTeX code is now generated directly from theory files.
berghofe
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120 |
\isadelimproof |
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LaTeX code is now generated directly from theory files.
berghofe
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|
121 |
% |
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LaTeX code is now generated directly from theory files.
berghofe
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|
122 |
\endisadelimproof |
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LaTeX code is now generated directly from theory files.
berghofe
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|
123 |
% |
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LaTeX code is now generated directly from theory files.
berghofe
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|
124 |
\isadelimproof |
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LaTeX code is now generated directly from theory files.
berghofe
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|
125 |
% |
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LaTeX code is now generated directly from theory files.
berghofe
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|
126 |
\endisadelimproof |
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LaTeX code is now generated directly from theory files.
berghofe
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|
127 |
% |
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LaTeX code is now generated directly from theory files.
berghofe
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|
128 |
\isatagproof |
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LaTeX code is now generated directly from theory files.
berghofe
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|
129 |
% |
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LaTeX code is now generated directly from theory files.
berghofe
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|
130 |
\endisatagproof |
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LaTeX code is now generated directly from theory files.
berghofe
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|
131 |
{\isafoldproof}% |
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LaTeX code is now generated directly from theory files.
berghofe
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|
132 |
% |
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LaTeX code is now generated directly from theory files.
berghofe
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|
133 |
\isadelimproof |
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LaTeX code is now generated directly from theory files.
berghofe
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|
134 |
% |
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LaTeX code is now generated directly from theory files.
berghofe
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135 |
\endisadelimproof |
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LaTeX code is now generated directly from theory files.
berghofe
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|
136 |
% |
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LaTeX code is now generated directly from theory files.
berghofe
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|
137 |
\isadelimproof |
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LaTeX code is now generated directly from theory files.
berghofe
parents:
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|
138 |
% |
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LaTeX code is now generated directly from theory files.
berghofe
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|
139 |
\endisadelimproof |
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LaTeX code is now generated directly from theory files.
berghofe
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|
140 |
% |
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LaTeX code is now generated directly from theory files.
berghofe
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|
141 |
\isatagproof |
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LaTeX code is now generated directly from theory files.
berghofe
parents:
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|
142 |
% |
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LaTeX code is now generated directly from theory files.
berghofe
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|
143 |
\endisatagproof |
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LaTeX code is now generated directly from theory files.
berghofe
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|
144 |
{\isafoldproof}% |
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LaTeX code is now generated directly from theory files.
berghofe
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|
145 |
% |
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LaTeX code is now generated directly from theory files.
berghofe
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146 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
147 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
148 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
149 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
150 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
151 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
152 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
153 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
154 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
155 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
156 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
157 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
158 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
159 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
160 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
161 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
162 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
163 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
164 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
165 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
166 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
167 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
168 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
169 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
170 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
171 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
172 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
173 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
174 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
175 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
176 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
177 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
178 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
179 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
180 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
181 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
182 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
183 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
184 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
185 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
186 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
187 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
188 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
189 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
190 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
191 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
192 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
193 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
194 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
195 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
196 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
197 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
198 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
199 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
200 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
201 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
202 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
203 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
204 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
205 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
206 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
207 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
208 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
209 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
210 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
211 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
212 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
213 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
214 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
215 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
216 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
217 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
218 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
219 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
220 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
221 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
222 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
223 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
224 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
225 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
226 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
227 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
228 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
229 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
230 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
231 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
232 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
233 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
234 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
235 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
236 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
237 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
238 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
239 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
240 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
241 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
242 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
243 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
244 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
245 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
246 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
247 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
248 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
249 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
250 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
251 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
252 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
253 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
254 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
255 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
256 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
257 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
258 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
259 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
260 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
261 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
262 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
263 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
264 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
265 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
266 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
267 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
268 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
269 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
270 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
271 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
272 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
273 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
274 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
275 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
276 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
277 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
278 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
279 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
280 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
281 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
282 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
283 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
284 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
285 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
286 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
287 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
288 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
289 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
290 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
291 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
292 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
293 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
294 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
295 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
296 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
297 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
298 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
299 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
300 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
301 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
302 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
303 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
304 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
305 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
306 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
307 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
308 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
309 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
310 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
311 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
312 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
313 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
314 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
315 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
316 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
317 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
318 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
319 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
320 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
321 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
322 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
323 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
324 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
325 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
326 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
327 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
328 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
329 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
330 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
331 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
332 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
333 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
334 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
335 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
336 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
337 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
338 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
339 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
340 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
341 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
342 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
343 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
344 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
345 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
346 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
347 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
348 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
349 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
350 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
351 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
352 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
353 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
354 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
355 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
356 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
357 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
358 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
359 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
360 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
361 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
362 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
363 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
364 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
365 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
366 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
367 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
368 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
369 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
370 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
371 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
372 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
373 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
374 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
375 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
376 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
377 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
378 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
379 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
380 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
381 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
382 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
383 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
384 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
385 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
386 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
387 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
388 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
389 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
390 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
391 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
392 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
393 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
394 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
395 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
396 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
397 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
398 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
399 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
400 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
401 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
402 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
403 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
404 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
405 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
406 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
407 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
408 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
409 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
410 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
411 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
412 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
413 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
414 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
415 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
416 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
417 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
418 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
419 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
420 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
421 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
422 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
423 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
424 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
425 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
426 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
427 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
428 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
429 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
430 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
431 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
432 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
433 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
434 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
435 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
436 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
437 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
438 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
439 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
440 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
441 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
442 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
443 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
444 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
445 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
446 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
447 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
448 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
449 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
450 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
451 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
452 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
453 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
454 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
455 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
456 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
457 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
458 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
459 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
460 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
461 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
462 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
463 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
464 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
465 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
466 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
467 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
468 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
469 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
470 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
471 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
472 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
473 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
474 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
475 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
476 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
477 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
478 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
479 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
480 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
481 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
482 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
483 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
484 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
485 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
486 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
487 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
488 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
489 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
490 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
491 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
492 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
493 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
494 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
495 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
496 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
497 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
498 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
499 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
500 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
501 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
502 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
503 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
504 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
505 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
506 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
507 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
508 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
509 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
510 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
511 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
512 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
513 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
514 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
515 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
516 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
517 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
518 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
519 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
520 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
521 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
522 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
523 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
524 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
525 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
526 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
527 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
528 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
529 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
530 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
531 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
532 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
533 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
534 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
535 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
536 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
537 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
538 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
539 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
540 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
541 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
542 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
543 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
544 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
545 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
546 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
547 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
548 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
549 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
550 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
551 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
552 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
553 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
554 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
555 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
556 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
557 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
558 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
559 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
560 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
561 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
562 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
563 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
564 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
565 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
566 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
567 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
568 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
569 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
570 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
571 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
572 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
573 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
574 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
575 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
576 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
577 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
578 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
579 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
580 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
581 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
582 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
583 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
584 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
585 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
586 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
587 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
588 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
589 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
590 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
591 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
592 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
593 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
594 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
595 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
596 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
597 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
598 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
599 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
600 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
601 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
602 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
603 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
604 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
605 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
606 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
607 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
608 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
609 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
610 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
611 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
612 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
613 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
614 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
615 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
616 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
617 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
618 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
619 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
620 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
621 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
622 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
623 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
624 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
625 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
626 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
627 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
628 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
629 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
630 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
631 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
632 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
633 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
634 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
635 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
636 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
637 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
638 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
639 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
640 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
641 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
642 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
643 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
644 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
645 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
646 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
647 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
648 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
649 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
650 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
651 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
652 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
653 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
654 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
655 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
656 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
657 |
\isamarkupsection{Modelling the Adversary% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
658 |
} |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
659 |
\isamarkuptrue% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
660 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
661 |
\begin{isamarkuptext}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
662 |
The spy is part of the system and must be built into the model. He is |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
663 |
a malicious user who does not have to follow the protocol. He |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
664 |
watches the network and uses any keys he knows to decrypt messages. |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
665 |
Thus he accumulates additional keys and nonces. These he can use to |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
666 |
compose new messages, which he may send to anybody. |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
667 |
|
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
668 |
Two functions enable us to formalize this behaviour: \isa{analz} and |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
669 |
\isa{synth}. Each function maps a sets of messages to another set of |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
670 |
messages. The set \isa{analz\ H} formalizes what the adversary can learn |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
671 |
from the set of messages~$H$. The closure properties of this set are |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
672 |
defined inductively.% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
673 |
\end{isamarkuptext}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
674 |
\isamarkuptrue% |
40406 | 675 |
\isacommand{inductive{\isaliteral{5F}{\isacharunderscore}}set}\isamarkupfalse% |
23925
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
676 |
\isanewline |
40406 | 677 |
\ \ analz\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}\ {\isaliteral{22}{\isachardoublequoteopen}}msg\ set\ {\isaliteral{5C3C52696768746172726F773E}{\isasymRightarrow}}\ msg\ set{\isaliteral{22}{\isachardoublequoteclose}}\isanewline |
678 |
\ \ \isakeyword{for}\ H\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}\ {\isaliteral{22}{\isachardoublequoteopen}}msg\ set{\isaliteral{22}{\isachardoublequoteclose}}\isanewline |
|
23925
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
679 |
\ \ \isakeyword{where}\isanewline |
40406 | 680 |
\ \ \ \ Inj\ {\isaliteral{5B}{\isacharbrackleft}}intro{\isaliteral{2C}{\isacharcomma}}simp{\isaliteral{5D}{\isacharbrackright}}\ {\isaliteral{3A}{\isacharcolon}}\ {\isaliteral{22}{\isachardoublequoteopen}}X\ {\isaliteral{5C3C696E3E}{\isasymin}}\ H\ {\isaliteral{5C3C4C6F6E6772696768746172726F773E}{\isasymLongrightarrow}}\ X\ {\isaliteral{5C3C696E3E}{\isasymin}}\ analz\ H{\isaliteral{22}{\isachardoublequoteclose}}\isanewline |
681 |
\ \ {\isaliteral{7C}{\isacharbar}}\ Fst{\isaliteral{3A}{\isacharcolon}}\ \ \ \ \ {\isaliteral{22}{\isachardoublequoteopen}}{\isaliteral{5C3C6C62726163653E}{\isasymlbrace}}X{\isaliteral{2C}{\isacharcomma}}Y{\isaliteral{5C3C7262726163653E}{\isasymrbrace}}\ {\isaliteral{5C3C696E3E}{\isasymin}}\ analz\ H\ {\isaliteral{5C3C4C6F6E6772696768746172726F773E}{\isasymLongrightarrow}}\ X\ {\isaliteral{5C3C696E3E}{\isasymin}}\ analz\ H{\isaliteral{22}{\isachardoublequoteclose}}\isanewline |
|
682 |
\ \ {\isaliteral{7C}{\isacharbar}}\ Snd{\isaliteral{3A}{\isacharcolon}}\ \ \ \ \ {\isaliteral{22}{\isachardoublequoteopen}}{\isaliteral{5C3C6C62726163653E}{\isasymlbrace}}X{\isaliteral{2C}{\isacharcomma}}Y{\isaliteral{5C3C7262726163653E}{\isasymrbrace}}\ {\isaliteral{5C3C696E3E}{\isasymin}}\ analz\ H\ {\isaliteral{5C3C4C6F6E6772696768746172726F773E}{\isasymLongrightarrow}}\ Y\ {\isaliteral{5C3C696E3E}{\isasymin}}\ analz\ H{\isaliteral{22}{\isachardoublequoteclose}}\isanewline |
|
683 |
\ \ {\isaliteral{7C}{\isacharbar}}\ Decrypt\ {\isaliteral{5B}{\isacharbrackleft}}dest{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{3A}{\isacharcolon}}\ \isanewline |
|
684 |
\ \ \ \ \ \ \ \ \ \ \ \ \ {\isaliteral{22}{\isachardoublequoteopen}}{\isaliteral{5C3C6C6272616B6B3E}{\isasymlbrakk}}Crypt\ K\ X\ {\isaliteral{5C3C696E3E}{\isasymin}}\ analz\ H{\isaliteral{3B}{\isacharsemicolon}}\ Key{\isaliteral{28}{\isacharparenleft}}invKey\ K{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{5C3C696E3E}{\isasymin}}\ analz\ H{\isaliteral{5C3C726272616B6B3E}{\isasymrbrakk}}\isanewline |
|
685 |
\ \ \ \ \ \ \ \ \ \ \ \ \ \ {\isaliteral{5C3C4C6F6E6772696768746172726F773E}{\isasymLongrightarrow}}\ X\ {\isaliteral{5C3C696E3E}{\isasymin}}\ analz\ H{\isaliteral{22}{\isachardoublequoteclose}}% |
|
23925
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
686 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
687 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
688 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
689 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
690 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
691 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
692 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
693 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
694 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
695 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
696 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
697 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
698 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
699 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
700 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
701 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
702 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
703 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
704 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
705 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
706 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
707 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
708 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
709 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
710 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
711 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
712 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
713 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
714 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
715 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
716 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
717 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
718 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
719 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
720 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
721 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
722 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
723 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
724 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
725 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
726 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
727 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
728 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
729 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
730 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
731 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
732 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
733 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
734 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
735 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
736 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
737 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
738 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
739 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
740 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
741 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
742 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
743 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
744 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
745 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
746 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
747 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
748 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
749 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
750 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
751 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
752 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
753 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
754 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
755 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
756 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
757 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
758 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
759 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
760 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
761 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
762 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
763 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
764 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
765 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
766 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
767 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
768 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
769 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
770 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
771 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
772 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
773 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
774 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
775 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
776 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
777 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
778 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
779 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
780 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
781 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
782 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
783 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
784 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
785 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
786 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
787 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
788 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
789 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
790 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
791 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
792 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
793 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
794 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
795 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
796 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
797 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
798 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
799 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
800 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
801 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
802 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
803 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
804 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
805 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
806 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
807 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
808 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
809 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
810 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
811 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
812 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
813 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
814 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
815 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
816 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
817 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
818 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
819 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
820 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
821 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
822 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
823 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
824 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
825 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
826 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
827 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
828 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
829 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
830 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
831 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
832 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
833 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
834 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
835 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
836 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
837 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
838 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
839 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
840 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
841 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
842 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
843 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
844 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
845 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
846 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
847 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
848 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
849 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
850 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
851 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
852 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
853 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
854 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
855 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
856 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
857 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
858 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
859 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
860 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
861 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
862 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
863 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
864 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
865 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
866 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
867 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
868 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
869 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
870 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
871 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
872 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
873 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
874 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
875 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
876 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
877 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
878 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
879 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
880 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
881 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
882 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
883 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
884 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
885 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
886 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
887 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
888 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
889 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
890 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
891 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
892 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
893 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
894 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
895 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
896 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
897 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
898 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
899 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
900 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
901 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
902 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
903 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
904 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
905 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
906 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
907 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
908 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
909 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
910 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
911 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
912 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
913 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
914 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
915 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
916 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
917 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
918 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
919 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
920 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
921 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
922 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
923 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
924 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
925 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
926 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
927 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
928 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
929 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
930 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
931 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
932 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
933 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
934 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
935 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
936 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
937 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
938 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
939 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
940 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
941 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
942 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
943 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
944 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
945 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
946 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
947 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
948 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
949 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
950 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
951 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
952 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
953 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
954 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
955 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
956 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
957 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
958 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
959 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
960 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
961 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
962 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
963 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
964 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
965 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
966 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
967 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
968 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
969 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
970 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
971 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
972 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
973 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
974 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
975 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
976 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
977 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
978 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
979 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
980 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
981 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
982 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
983 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
984 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
985 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
986 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
987 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
988 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
989 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
990 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
991 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
992 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
993 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
994 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
995 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
996 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
997 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
998 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
999 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1000 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1001 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1002 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1003 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1004 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1005 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1006 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1007 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1008 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1009 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1010 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1011 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1012 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1013 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1014 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1015 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1016 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1017 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1018 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1019 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1020 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1021 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1022 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1023 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1024 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1025 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1026 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1027 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1028 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1029 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1030 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1031 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1032 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1033 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1034 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1035 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1036 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1037 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1038 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1039 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1040 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1041 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1042 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1043 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1044 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1045 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1046 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1047 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1048 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1049 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1050 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1051 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1052 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1053 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1054 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1055 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1056 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1057 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1058 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1059 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1060 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1061 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1062 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1063 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1064 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1065 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1066 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1067 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1068 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1069 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1070 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1071 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1072 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1073 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1074 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1075 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1076 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1077 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1078 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1079 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1080 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1081 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1082 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1083 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1084 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1085 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1086 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1087 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1088 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1089 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1090 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1091 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1092 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1093 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1094 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1095 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1096 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1097 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1098 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1099 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1100 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1101 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1102 |
\begin{isamarkuptext}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1103 |
Note the \isa{Decrypt} rule: the spy can decrypt a |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1104 |
message encrypted with key~$K$ if he has the matching key,~$K^{-1}$. |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1105 |
Properties proved by rule induction include the following: |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1106 |
\begin{isabelle}% |
40406 | 1107 |
G\ {\isaliteral{5C3C73756273657465713E}{\isasymsubseteq}}\ H\ {\isaliteral{5C3C4C6F6E6772696768746172726F773E}{\isasymLongrightarrow}}\ analz\ G\ {\isaliteral{5C3C73756273657465713E}{\isasymsubseteq}}\ analz\ H\rulename{analz{\isaliteral{5F}{\isacharunderscore}}mono}\par\smallskip% |
1108 |
analz\ {\isaliteral{28}{\isacharparenleft}}analz\ H{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ analz\ H\rulename{analz{\isaliteral{5F}{\isacharunderscore}}idem}% |
|
23925
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1109 |
\end{isabelle} |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1110 |
|
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1111 |
The set of fake messages that an intruder could invent |
40406 | 1112 |
starting from~\isa{H} is \isa{synth{\isaliteral{28}{\isacharparenleft}}analz\ H{\isaliteral{29}{\isacharparenright}}}, where \isa{synth\ H} |
23925
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1113 |
formalizes what the adversary can build from the set of messages~$H$.% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1114 |
\end{isamarkuptext}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1115 |
\isamarkuptrue% |
40406 | 1116 |
\isacommand{inductive{\isaliteral{5F}{\isacharunderscore}}set}\isamarkupfalse% |
23925
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1117 |
\isanewline |
40406 | 1118 |
\ \ synth\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}\ {\isaliteral{22}{\isachardoublequoteopen}}msg\ set\ {\isaliteral{5C3C52696768746172726F773E}{\isasymRightarrow}}\ msg\ set{\isaliteral{22}{\isachardoublequoteclose}}\isanewline |
1119 |
\ \ \isakeyword{for}\ H\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}\ {\isaliteral{22}{\isachardoublequoteopen}}msg\ set{\isaliteral{22}{\isachardoublequoteclose}}\isanewline |
|
23925
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1120 |
\ \ \isakeyword{where}\isanewline |
40406 | 1121 |
\ \ \ \ Inj\ \ \ \ {\isaliteral{5B}{\isacharbrackleft}}intro{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{3A}{\isacharcolon}}\ {\isaliteral{22}{\isachardoublequoteopen}}X\ {\isaliteral{5C3C696E3E}{\isasymin}}\ H\ {\isaliteral{5C3C4C6F6E6772696768746172726F773E}{\isasymLongrightarrow}}\ X\ {\isaliteral{5C3C696E3E}{\isasymin}}\ synth\ H{\isaliteral{22}{\isachardoublequoteclose}}\isanewline |
1122 |
\ \ {\isaliteral{7C}{\isacharbar}}\ Agent\ \ {\isaliteral{5B}{\isacharbrackleft}}intro{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{3A}{\isacharcolon}}\ {\isaliteral{22}{\isachardoublequoteopen}}Agent\ agt\ {\isaliteral{5C3C696E3E}{\isasymin}}\ synth\ H{\isaliteral{22}{\isachardoublequoteclose}}\isanewline |
|
1123 |
\ \ {\isaliteral{7C}{\isacharbar}}\ MPair\ \ {\isaliteral{5B}{\isacharbrackleft}}intro{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{3A}{\isacharcolon}}\isanewline |
|
1124 |
\ \ \ \ \ \ \ \ \ \ \ \ \ \ {\isaliteral{22}{\isachardoublequoteopen}}{\isaliteral{5C3C6C6272616B6B3E}{\isasymlbrakk}}X\ {\isaliteral{5C3C696E3E}{\isasymin}}\ synth\ H{\isaliteral{3B}{\isacharsemicolon}}\ \ Y\ {\isaliteral{5C3C696E3E}{\isasymin}}\ synth\ H{\isaliteral{5C3C726272616B6B3E}{\isasymrbrakk}}\ {\isaliteral{5C3C4C6F6E6772696768746172726F773E}{\isasymLongrightarrow}}\ {\isaliteral{5C3C6C62726163653E}{\isasymlbrace}}X{\isaliteral{2C}{\isacharcomma}}Y{\isaliteral{5C3C7262726163653E}{\isasymrbrace}}\ {\isaliteral{5C3C696E3E}{\isasymin}}\ synth\ H{\isaliteral{22}{\isachardoublequoteclose}}\isanewline |
|
1125 |
\ \ {\isaliteral{7C}{\isacharbar}}\ Crypt\ \ {\isaliteral{5B}{\isacharbrackleft}}intro{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{3A}{\isacharcolon}}\isanewline |
|
1126 |
\ \ \ \ \ \ \ \ \ \ \ \ \ \ {\isaliteral{22}{\isachardoublequoteopen}}{\isaliteral{5C3C6C6272616B6B3E}{\isasymlbrakk}}X\ {\isaliteral{5C3C696E3E}{\isasymin}}\ synth\ H{\isaliteral{3B}{\isacharsemicolon}}\ \ Key\ K\ {\isaliteral{5C3C696E3E}{\isasymin}}\ H{\isaliteral{5C3C726272616B6B3E}{\isasymrbrakk}}\ {\isaliteral{5C3C4C6F6E6772696768746172726F773E}{\isasymLongrightarrow}}\ Crypt\ K\ X\ {\isaliteral{5C3C696E3E}{\isasymin}}\ synth\ H{\isaliteral{22}{\isachardoublequoteclose}}% |
|
23925
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1127 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1128 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1129 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1130 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1131 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1132 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1133 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1134 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1135 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1136 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1137 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1138 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1139 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1140 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1141 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1142 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1143 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1144 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1145 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1146 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1147 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1148 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1149 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1150 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1151 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1152 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1153 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1154 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1155 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1156 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1157 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1158 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1159 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1160 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1161 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1162 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1163 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1164 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1165 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1166 |
\begin{isamarkuptext}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1167 |
The set includes all agent names. Nonces and keys are assumed to be |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1168 |
unguessable, so none are included beyond those already in~$H$. Two |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1169 |
elements of \isa{synth\ H} can be combined, and an element can be encrypted |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1170 |
using a key present in~$H$. |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1171 |
|
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1172 |
Like \isa{analz}, this set operator is monotone and idempotent. It also |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1173 |
satisfies an interesting equation involving \isa{analz}: |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1174 |
\begin{isabelle}% |
40406 | 1175 |
analz\ {\isaliteral{28}{\isacharparenleft}}synth\ H{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ analz\ H\ {\isaliteral{5C3C756E696F6E3E}{\isasymunion}}\ synth\ H\rulename{analz{\isaliteral{5F}{\isacharunderscore}}synth}% |
23925
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1176 |
\end{isabelle} |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1177 |
Rule inversion plays a major role in reasoning about \isa{synth}, through |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1178 |
declarations such as this one:% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1179 |
\end{isamarkuptext}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1180 |
\isamarkuptrue% |
40406 | 1181 |
\isacommand{inductive{\isaliteral{5F}{\isacharunderscore}}cases}\isamarkupfalse% |
1182 |
\ Nonce{\isaliteral{5F}{\isacharunderscore}}synth\ {\isaliteral{5B}{\isacharbrackleft}}elim{\isaliteral{21}{\isacharbang}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{3A}{\isacharcolon}}\ {\isaliteral{22}{\isachardoublequoteopen}}Nonce\ n\ {\isaliteral{5C3C696E3E}{\isasymin}}\ synth\ H{\isaliteral{22}{\isachardoublequoteclose}}% |
|
23925
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1183 |
\begin{isamarkuptext}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1184 |
\noindent |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1185 |
The resulting elimination rule replaces every assumption of the form |
40406 | 1186 |
\isa{Nonce\ n\ {\isaliteral{5C3C696E3E}{\isasymin}}\ synth\ H} by \isa{Nonce\ n\ {\isaliteral{5C3C696E3E}{\isasymin}}\ H}, |
23925
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1187 |
expressing that a nonce cannot be guessed. |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1188 |
|
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1189 |
A third operator, \isa{parts}, is useful for stating correctness |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1190 |
properties. The set |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1191 |
\isa{parts\ H} consists of the components of elements of~$H$. This set |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1192 |
includes~\isa{H} and is closed under the projections from a compound |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1193 |
message to its immediate parts. |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1194 |
Its definition resembles that of \isa{analz} except in the rule |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1195 |
corresponding to the constructor \isa{Crypt}: |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1196 |
\begin{isabelle}% |
40406 | 1197 |
\ \ \ \ \ Crypt\ K\ X\ {\isaliteral{5C3C696E3E}{\isasymin}}\ parts\ H\ {\isaliteral{5C3C4C6F6E6772696768746172726F773E}{\isasymLongrightarrow}}\ X\ {\isaliteral{5C3C696E3E}{\isasymin}}\ parts\ H% |
23925
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1198 |
\end{isabelle} |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1199 |
The body of an encrypted message is always regarded as part of it. We can |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1200 |
use \isa{parts} to express general well-formedness properties of a protocol, |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1201 |
for example, that an uncompromised agent's private key will never be |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1202 |
included as a component of any message.% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1203 |
\end{isamarkuptext}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1204 |
\isamarkuptrue% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1205 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1206 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1207 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1208 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1209 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1210 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1211 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1212 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1213 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1214 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1215 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1216 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1217 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1218 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1219 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1220 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1221 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1222 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1223 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1224 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1225 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1226 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1227 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1228 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1229 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1230 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1231 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1232 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1233 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1234 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1235 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1236 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1237 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1238 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1239 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1240 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1241 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1242 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1243 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1244 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1245 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1246 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1247 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1248 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1249 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1250 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1251 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1252 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1253 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1254 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1255 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1256 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1257 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1258 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1259 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1260 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1261 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1262 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1263 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1264 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1265 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1266 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1267 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1268 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1269 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1270 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1271 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1272 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1273 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1274 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1275 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1276 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1277 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1278 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1279 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1280 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1281 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1282 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1283 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1284 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1285 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1286 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1287 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1288 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1289 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1290 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1291 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1292 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1293 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1294 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1295 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1296 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1297 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1298 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1299 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1300 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1301 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1302 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1303 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1304 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1305 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1306 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1307 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1308 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1309 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1310 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1311 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1312 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1313 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1314 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1315 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1316 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1317 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1318 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1319 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1320 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1321 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1322 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1323 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1324 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1325 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1326 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1327 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1328 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1329 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1330 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1331 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1332 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1333 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1334 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1335 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1336 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1337 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1338 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1339 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1340 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1341 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1342 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1343 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1344 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1345 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1346 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1347 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1348 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1349 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1350 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1351 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1352 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1353 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1354 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1355 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1356 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1357 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1358 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1359 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1360 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1361 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1362 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1363 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1364 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1365 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1366 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1367 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1368 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1369 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1370 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1371 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1372 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1373 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1374 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1375 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1376 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1377 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1378 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1379 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1380 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1381 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1382 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1383 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1384 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1385 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1386 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1387 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1388 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1389 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1390 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1391 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1392 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1393 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1394 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1395 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1396 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1397 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1398 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1399 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1400 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1401 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1402 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1403 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1404 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1405 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1406 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1407 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1408 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1409 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1410 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1411 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1412 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1413 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1414 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1415 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1416 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1417 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1418 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1419 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1420 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1421 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1422 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1423 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1424 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1425 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1426 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1427 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1428 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1429 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1430 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1431 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1432 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1433 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1434 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1435 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1436 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1437 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1438 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1439 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1440 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1441 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1442 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1443 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1444 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1445 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1446 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1447 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1448 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1449 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1450 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1451 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1452 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1453 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1454 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1455 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1456 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1457 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1458 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1459 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1460 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1461 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1462 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1463 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1464 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1465 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1466 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1467 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1468 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1469 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1470 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1471 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1472 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1473 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1474 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1475 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1476 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1477 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1478 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1479 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1480 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1481 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1482 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1483 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1484 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1485 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1486 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1487 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1488 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1489 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1490 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1491 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1492 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1493 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1494 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1495 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1496 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1497 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1498 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1499 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1500 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1501 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1502 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1503 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1504 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1505 |
\isadelimML |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1506 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1507 |
\endisadelimML |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1508 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1509 |
\isatagML |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1510 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1511 |
\endisatagML |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1512 |
{\isafoldML}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1513 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1514 |
\isadelimML |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1515 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1516 |
\endisadelimML |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1517 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1518 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1519 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1520 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1521 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1522 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1523 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1524 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1525 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1526 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1527 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1528 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1529 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1530 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1531 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1532 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1533 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1534 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1535 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1536 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1537 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1538 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1539 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1540 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1541 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1542 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1543 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1544 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1545 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1546 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1547 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1548 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1549 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1550 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1551 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1552 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1553 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1554 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1555 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1556 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1557 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1558 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1559 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1560 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1561 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1562 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1563 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1564 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1565 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1566 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1567 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1568 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1569 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1570 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1571 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1572 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1573 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1574 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1575 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1576 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1577 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1578 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1579 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1580 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1581 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1582 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1583 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1584 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1585 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1586 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1587 |
\isatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1588 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1589 |
\endisatagproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1590 |
{\isafoldproof}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1591 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1592 |
\isadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1593 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1594 |
\endisadelimproof |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1595 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1596 |
\isadelimML |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1597 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1598 |
\endisadelimML |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1599 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1600 |
\isatagML |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1601 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1602 |
\endisatagML |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1603 |
{\isafoldML}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1604 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1605 |
\isadelimML |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1606 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1607 |
\endisadelimML |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1608 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1609 |
\isadelimtheory |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1610 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1611 |
\endisadelimtheory |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1612 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1613 |
\isatagtheory |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1614 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1615 |
\endisatagtheory |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1616 |
{\isafoldtheory}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1617 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1618 |
\isadelimtheory |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1619 |
% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1620 |
\endisadelimtheory |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1621 |
\end{isabellebody}% |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1622 |
%%% Local Variables: |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1623 |
%%% mode: latex |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1624 |
%%% TeX-master: "root" |
ee98c2528a8f
LaTeX code is now generated directly from theory files.
berghofe
parents:
diff
changeset
|
1625 |
%%% End: |