--- a/doc-src/IsarRef/Thy/document/Framework.tex Tue May 03 21:40:14 2011 +0200
+++ b/doc-src/IsarRef/Thy/document/Framework.tex Tue May 03 21:44:05 2011 +0200
@@ -538,7 +538,7 @@
\infer[(\hyperlink{inference.refinement}{\mbox{\isa{refinement}}})]
{\isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{28}{\isacharparenleft}}{\isaliteral{5C3C416E643E}{\isasymAnd}}\isaliteral{5C3C5E7665633E}{}\isactrlvec x{\isaliteral{2E}{\isachardot}}\ \isaliteral{5C3C5E7665633E}{}\isactrlvec H\ \isaliteral{5C3C5E7665633E}{}\isactrlvec x\ {\isaliteral{5C3C4C6F6E6772696768746172726F773E}{\isasymLongrightarrow}}\ \isaliteral{5C3C5E7665633E}{}\isactrlvec G{\isaliteral{27}{\isacharprime}}\ {\isaliteral{28}{\isacharparenleft}}\isaliteral{5C3C5E7665633E}{}\isactrlvec a\ \isaliteral{5C3C5E7665633E}{}\isactrlvec x{\isaliteral{29}{\isacharparenright}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{5C3C76617274686574613E}{\isasymvartheta}}\ {\isaliteral{5C3C4C6F6E6772696768746172726F773E}{\isasymLongrightarrow}}\ C{\isaliteral{5C3C76617274686574613E}{\isasymvartheta}}{\isaliteral{22}{\isachardoublequote}}}}
{\begin{tabular}{rl}
- \isa{{\isaliteral{22}{\isachardoublequote}}sub{\isaliteral{5C3C646173683E}{\isasymdash}}proof{\isaliteral{3A}{\isacharcolon}}{\isaliteral{22}{\isachardoublequote}}} &
+ \isa{{\isaliteral{22}{\isachardoublequote}}sub{\isaliteral{5C3C68797068656E3E}{\isasymhyphen}}proof{\isaliteral{3A}{\isacharcolon}}{\isaliteral{22}{\isachardoublequote}}} &
\isa{{\isaliteral{22}{\isachardoublequote}}\isaliteral{5C3C5E7665633E}{}\isactrlvec G\ \isaliteral{5C3C5E7665633E}{}\isactrlvec a\ {\isaliteral{5C3C4C6F6E6772696768746172726F773E}{\isasymLongrightarrow}}\ B\ \isaliteral{5C3C5E7665633E}{}\isactrlvec a{\isaliteral{22}{\isachardoublequote}}} \\
\isa{{\isaliteral{22}{\isachardoublequote}}goal{\isaliteral{3A}{\isacharcolon}}{\isaliteral{22}{\isachardoublequote}}} &
\isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{28}{\isacharparenleft}}{\isaliteral{5C3C416E643E}{\isasymAnd}}\isaliteral{5C3C5E7665633E}{}\isactrlvec x{\isaliteral{2E}{\isachardot}}\ \isaliteral{5C3C5E7665633E}{}\isactrlvec H\ \isaliteral{5C3C5E7665633E}{}\isactrlvec x\ {\isaliteral{5C3C4C6F6E6772696768746172726F773E}{\isasymLongrightarrow}}\ B{\isaliteral{27}{\isacharprime}}\ \isaliteral{5C3C5E7665633E}{}\isactrlvec x{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{5C3C4C6F6E6772696768746172726F773E}{\isasymLongrightarrow}}\ C{\isaliteral{22}{\isachardoublequote}}} \\
@@ -550,7 +550,7 @@
\end{tabular}}
\]
- \noindent Here the \isa{{\isaliteral{22}{\isachardoublequote}}sub{\isaliteral{5C3C646173683E}{\isasymdash}}proof{\isaliteral{22}{\isachardoublequote}}} rule stems from the
+ \noindent Here the \isa{{\isaliteral{22}{\isachardoublequote}}sub{\isaliteral{5C3C68797068656E3E}{\isasymhyphen}}proof{\isaliteral{22}{\isachardoublequote}}} rule stems from the
main \hyperlink{command.fix}{\mbox{\isa{\isacommand{fix}}}}-\hyperlink{command.assume}{\mbox{\isa{\isacommand{assume}}}}-\hyperlink{command.show}{\mbox{\isa{\isacommand{show}}}} outline of
Isar (cf.\ \secref{sec:framework-subproof}): each assumption
indicated in the text results in a marked premise \isa{{\isaliteral{22}{\isachardoublequote}}G{\isaliteral{22}{\isachardoublequote}}} above.
@@ -580,7 +580,7 @@
\medskip
\begin{tabular}{rcl}
- \isa{{\isaliteral{22}{\isachardoublequote}}theory{\isaliteral{5C3C646173683E}{\isasymdash}}stmt{\isaliteral{22}{\isachardoublequote}}} & = & \hyperlink{command.theorem}{\mbox{\isa{\isacommand{theorem}}}}~\isa{{\isaliteral{22}{\isachardoublequote}}statement\ proof\ \ {\isaliteral{7C}{\isacharbar}}{\isaliteral{22}{\isachardoublequote}}}~~\hyperlink{command.definition}{\mbox{\isa{\isacommand{definition}}}}~\isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5C3C646F74733E}{\isasymdots}}\ \ {\isaliteral{7C}{\isacharbar}}\ \ {\isaliteral{5C3C646F74733E}{\isasymdots}}{\isaliteral{22}{\isachardoublequote}}} \\[1ex]
+ \isa{{\isaliteral{22}{\isachardoublequote}}theory{\isaliteral{5C3C68797068656E3E}{\isasymhyphen}}stmt{\isaliteral{22}{\isachardoublequote}}} & = & \hyperlink{command.theorem}{\mbox{\isa{\isacommand{theorem}}}}~\isa{{\isaliteral{22}{\isachardoublequote}}statement\ proof\ \ {\isaliteral{7C}{\isacharbar}}{\isaliteral{22}{\isachardoublequote}}}~~\hyperlink{command.definition}{\mbox{\isa{\isacommand{definition}}}}~\isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5C3C646F74733E}{\isasymdots}}\ \ {\isaliteral{7C}{\isacharbar}}\ \ {\isaliteral{5C3C646F74733E}{\isasymdots}}{\isaliteral{22}{\isachardoublequote}}} \\[1ex]
\isa{{\isaliteral{22}{\isachardoublequote}}proof{\isaliteral{22}{\isachardoublequote}}} & = & \isa{{\isaliteral{22}{\isachardoublequote}}prfx\isaliteral{5C3C5E7375703E}{}\isactrlsup {\isaliteral{2A}{\isacharasterisk}}{\isaliteral{22}{\isachardoublequote}}}~\hyperlink{command.proof}{\mbox{\isa{\isacommand{proof}}}}~\isa{{\isaliteral{22}{\isachardoublequote}}method\isaliteral{5C3C5E7375703E}{}\isactrlsup {\isaliteral{3F}{\isacharquery}}\ stmt\isaliteral{5C3C5E7375703E}{}\isactrlsup {\isaliteral{2A}{\isacharasterisk}}{\isaliteral{22}{\isachardoublequote}}}~\hyperlink{command.qed}{\mbox{\isa{\isacommand{qed}}}}~\isa{{\isaliteral{22}{\isachardoublequote}}method\isaliteral{5C3C5E7375703E}{}\isactrlsup {\isaliteral{3F}{\isacharquery}}{\isaliteral{22}{\isachardoublequote}}} \\[1ex]
@@ -687,7 +687,7 @@
\medskip
\begin{tabular}{rcl}
- \hyperlink{command.presume}{\mbox{\isa{\isacommand{presume}}}}~\isa{A} & \isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5C3C65717569763E}{\isasymequiv}}{\isaliteral{22}{\isachardoublequote}}} & \hyperlink{command.assume}{\mbox{\isa{\isacommand{assume}}}}~\isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5C3C6775696C6C656D6F746C6566743E}{\isasymguillemotleft}}weak{\isaliteral{5C3C646173683E}{\isasymdash}}discharge{\isaliteral{5C3C6775696C6C656D6F7472696768743E}{\isasymguillemotright}}\ A{\isaliteral{22}{\isachardoublequote}}} \\
+ \hyperlink{command.presume}{\mbox{\isa{\isacommand{presume}}}}~\isa{A} & \isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5C3C65717569763E}{\isasymequiv}}{\isaliteral{22}{\isachardoublequote}}} & \hyperlink{command.assume}{\mbox{\isa{\isacommand{assume}}}}~\isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5C3C6775696C6C656D6F746C6566743E}{\isasymguillemotleft}}weak{\isaliteral{5C3C68797068656E3E}{\isasymhyphen}}discharge{\isaliteral{5C3C6775696C6C656D6F7472696768743E}{\isasymguillemotright}}\ A{\isaliteral{22}{\isachardoublequote}}} \\
\hyperlink{command.def}{\mbox{\isa{\isacommand{def}}}}~\isa{{\isaliteral{22}{\isachardoublequote}}x\ {\isaliteral{5C3C65717569763E}{\isasymequiv}}\ a{\isaliteral{22}{\isachardoublequote}}} & \isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5C3C65717569763E}{\isasymequiv}}{\isaliteral{22}{\isachardoublequote}}} & \hyperlink{command.fix}{\mbox{\isa{\isacommand{fix}}}}~\isa{x}~\hyperlink{command.assume}{\mbox{\isa{\isacommand{assume}}}}~\isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5C3C6775696C6C656D6F746C6566743E}{\isasymguillemotleft}}expansion{\isaliteral{5C3C6775696C6C656D6F7472696768743E}{\isasymguillemotright}}\ x\ {\isaliteral{5C3C65717569763E}{\isasymequiv}}\ a{\isaliteral{22}{\isachardoublequote}}} \\
\end{tabular}
\medskip
@@ -696,13 +696,13 @@
\infer[(\indexdef{}{inference}{discharge}\hypertarget{inference.discharge}{\hyperlink{inference.discharge}{\mbox{\isa{discharge}}}})]{\isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5C3C73747275743E}{\isasymstrut}}{\isaliteral{5C3C47616D6D613E}{\isasymGamma}}\ {\isaliteral{2D}{\isacharminus}}\ A\ {\isaliteral{5C3C7475726E7374696C653E}{\isasymturnstile}}\ {\isaliteral{23}{\isacharhash}}A\ {\isaliteral{5C3C4C6F6E6772696768746172726F773E}{\isasymLongrightarrow}}\ B{\isaliteral{22}{\isachardoublequote}}}}{\isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5C3C73747275743E}{\isasymstrut}}{\isaliteral{5C3C47616D6D613E}{\isasymGamma}}\ {\isaliteral{5C3C7475726E7374696C653E}{\isasymturnstile}}\ B{\isaliteral{22}{\isachardoublequote}}}}
\]
\[
- \infer[(\indexdef{}{inference}{weak-discharge}\hypertarget{inference.weak-discharge}{\hyperlink{inference.weak-discharge}{\mbox{\isa{weak{\isaliteral{5C3C646173683E}{\isasymdash}}discharge}}}})]{\isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5C3C73747275743E}{\isasymstrut}}{\isaliteral{5C3C47616D6D613E}{\isasymGamma}}\ {\isaliteral{2D}{\isacharminus}}\ A\ {\isaliteral{5C3C7475726E7374696C653E}{\isasymturnstile}}\ A\ {\isaliteral{5C3C4C6F6E6772696768746172726F773E}{\isasymLongrightarrow}}\ B{\isaliteral{22}{\isachardoublequote}}}}{\isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5C3C73747275743E}{\isasymstrut}}{\isaliteral{5C3C47616D6D613E}{\isasymGamma}}\ {\isaliteral{5C3C7475726E7374696C653E}{\isasymturnstile}}\ B{\isaliteral{22}{\isachardoublequote}}}}
+ \infer[(\indexdef{}{inference}{weak-discharge}\hypertarget{inference.weak-discharge}{\hyperlink{inference.weak-discharge}{\mbox{\isa{weak{\isaliteral{5C3C68797068656E3E}{\isasymhyphen}}discharge}}}})]{\isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5C3C73747275743E}{\isasymstrut}}{\isaliteral{5C3C47616D6D613E}{\isasymGamma}}\ {\isaliteral{2D}{\isacharminus}}\ A\ {\isaliteral{5C3C7475726E7374696C653E}{\isasymturnstile}}\ A\ {\isaliteral{5C3C4C6F6E6772696768746172726F773E}{\isasymLongrightarrow}}\ B{\isaliteral{22}{\isachardoublequote}}}}{\isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5C3C73747275743E}{\isasymstrut}}{\isaliteral{5C3C47616D6D613E}{\isasymGamma}}\ {\isaliteral{5C3C7475726E7374696C653E}{\isasymturnstile}}\ B{\isaliteral{22}{\isachardoublequote}}}}
\]
\[
\infer[(\indexdef{}{inference}{expansion}\hypertarget{inference.expansion}{\hyperlink{inference.expansion}{\mbox{\isa{expansion}}}})]{\isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5C3C73747275743E}{\isasymstrut}}{\isaliteral{5C3C47616D6D613E}{\isasymGamma}}\ {\isaliteral{2D}{\isacharminus}}\ {\isaliteral{28}{\isacharparenleft}}x\ {\isaliteral{5C3C65717569763E}{\isasymequiv}}\ a{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{5C3C7475726E7374696C653E}{\isasymturnstile}}\ B\ a{\isaliteral{22}{\isachardoublequote}}}}{\isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5C3C73747275743E}{\isasymstrut}}{\isaliteral{5C3C47616D6D613E}{\isasymGamma}}\ {\isaliteral{5C3C7475726E7374696C653E}{\isasymturnstile}}\ B\ x{\isaliteral{22}{\isachardoublequote}}}}
\]
- \medskip Note that \hyperlink{inference.discharge}{\mbox{\isa{discharge}}} and \hyperlink{inference.weak-discharge}{\mbox{\isa{weak{\isaliteral{5C3C646173683E}{\isasymdash}}discharge}}} differ in the marker for \isa{A}, which is
+ \medskip Note that \hyperlink{inference.discharge}{\mbox{\isa{discharge}}} and \hyperlink{inference.weak-discharge}{\mbox{\isa{weak{\isaliteral{5C3C68797068656E3E}{\isasymhyphen}}discharge}}} differ in the marker for \isa{A}, which is
relevant when the result of a \hyperlink{command.fix}{\mbox{\isa{\isacommand{fix}}}}-\hyperlink{command.assume}{\mbox{\isa{\isacommand{assume}}}}-\hyperlink{command.show}{\mbox{\isa{\isacommand{show}}}} outline is composed with a pending goal,
cf.\ \secref{sec:framework-subproof}.