ESOP-Paper/Paper.thy
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     1 
     1 (*<*)
     2 (*<*)
     2 theory Paper
     3 theory Paper
     3 imports "../Nominal/Nominal2" 
     4 imports "../Nominal/Nominal2" 
     4         "~~/src/HOL/Library/LaTeXsugar"
     5         "~~/src/HOL/Library/LaTeXsugar"
     5 begin
     6 begin
   813   %Below we will show the first equation. The others 
   814   %Below we will show the first equation. The others 
   814   %follow by similar arguments. By definition of the abstraction type @{text "abs_set"} 
   815   %follow by similar arguments. By definition of the abstraction type @{text "abs_set"} 
   815   %we have 
   816   %we have 
   816   %%
   817   %%
   817   %\begin{equation}\label{abseqiff}
   818   %\begin{equation}\label{abseqiff}
   818   %@{thm (lhs) Abs_eq_iff(1)[where bs="as" and cs="bs", no_vars]} \;\;\text{if and only if}\;\; 
   819   %@{thm (lhs) Abs_eq_iff(1)[where bs="as" and bs'="bs", no_vars]} \;\;\text{if and only if}\;\; 
   819   %@{thm (rhs) Abs_eq_iff(1)[where bs="as" and cs="bs", no_vars]}
   820   %@{thm (rhs) Abs_eq_iff(1)[where bs="as" and bs'="bs", no_vars]}
   820   %\end{equation}
   821   %\end{equation}
   821   %
   822   %
   822   %\noindent
   823   %\noindent
   823   %and also
   824   %and also
   824   %
   825   %