Pearl-jv/Paper.thy
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   494 section {* Equivariance *}
   494 section {* Equivariance *}
   495 
   495 
   496 text {*
   496 text {*
   497   An important notion in the nominal logic work is
   497   An important notion in the nominal logic work is
   498   \emph{equivariance}.  It will enable us to characterise how
   498   \emph{equivariance}.  This notion allows us to characterise how
   499   permutations act upon compound statements in HOL by analysing how
   499   permutations act upon compound statements in HOL by analysing how
   500   these statements are constructed.  To do so, let us first define
   500   these statements are constructed.  To do so, let us first define
   501   \emph{HOL-terms}. They are given by the grammar
   501   \emph{HOL-terms}. They are given by the grammar
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   503   \begin{isabelle}\ \ \ \ \ \ \ \ \ \ %%%
   503   \begin{isabelle}\ \ \ \ \ \ \ \ \ \ %%%