% You may edit this preamble
% You may add new commands
	

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% (Adding CRESPO prefix in definitions just in case) 
\newcommand{\CRESPOID}{\mbox{\rm id}} 
\newcommand{\CRESPOEE}{E} 
\newcommand{\CRESPOEMPTYSET}{\emptyset}
\newcommand{\CRESPOOPENING}{\gamma} 
\newcommand{\CRESPOCLOSING}{\varphi} 
\newcommand{\CRESPOSUBS}[1]{_{#1}}
\newcommand{\CRESPOSUPERS}[1]{^{#1}} 
\newcommand{\CRESPOOPENINGX}[1]{\CRESPOOPENING \CRESPOSUBS{#1}}  
\newcommand{\CRESPOOPENINGOVER}{\overline{\CRESPOOPENING}} 
\newcommand{\CRESPOCLOSINGUNDER}{\underline{\CRESPOCLOSING}} 
\newcommand{\CRESPOOPENINGMARKERB}[2]{\overline{\CRESPOOPENING}(#1,#2)} 
\newcommand{\CRESPOCLOSINGMARKERB}[2]{\underline{\CRESPOCLOSING}(#1,#2)} 
\newcommand{\CRESPOOPENINGATTRIB}{\tilde{\CRESPOOPENING}} 
\newcommand{\CRESPOCLOSINGATTRIB}{\tilde{\CRESPOCLOSING}} 
\newcommand{\CRESPOXXS}{x}
\newcommand{\CRESPOYYS}{y} 
\newcommand{\CRESPOSETA}{A}
\newcommand{\CRESPOSETB}{B} 
\newcommand{\CRESPOSETMARKER}{M} 
\newcommand{\CRESPOSETMARKERB}{N} 
\newcommand{\CRESPOPOWERSET}{{\mathcal{P}}} 
\newcommand{\CRESPOPOWERSETE}{\CRESPOPOWERSET (\CRESPOEE)} 
\newcommand{\CRESPOADJACENT}{\mbox{{\rm {D}}}}  
\newcommand{\CRESPOFLATZONE}{\mbox{{\rm {F}}}}  
\newcommand{\CRESPOFLATZONEX}[1]{\CRESPOFLATZONE \CRESPOSUBS{#1}}  
\newcommand{\CRESPOEQ}{=}
\newcommand{\CRESPOTHINSPACE}{\mbox{\,}} 
\newcommand{\CRESPOEQSSL}{\CRESPOTHINSPACE \CRESPOEQ} 
\newcommand{\CRESPOBIGVEE}{\bigvee} 
\newcommand{\CRESPOBIGVEESS}{\CRESPOTHINSPACE \CRESPOBIGVEE \CRESPOTHINSPACE} 
\newcommand{\CRESPOCOMPLEMENT}{\complement} 
\newcommand{\CRESPOZZ}{\mathbb{Z}} 
\newcommand{\CRESPOZZTWO}{\CRESPOZZ \CRESPOSUPERS{2}} 
\newcommand{\CRESPOEMPH}{\emph} 
\newcommand{\CRESPOEMPHDEFI}{\textbf} 
\newcommand{\CRESPOII}{I} 
\newcommand{\CRESPOFF}{f} 
\newcommand{\CRESPOGG}{g} 
\newcommand{\CRESPOmyfigletterssize}{\small} 
\newcommand{\CRESPOmyproofstyle}{\sl} 
\newcommand{\CRESPOPROPERTY}{Property} 

\newcommand{\CRESPOXXSN}{p} % 
\newcommand{\CRESPOYYSN}{q} % 
\newcommand{\CRESPOFFLA}{\CRESPOFF} 
\newcommand{\CRESPOFFLB}{\CRESPOII} 

\newcommand{\CRESPOGGLA}{\CRESPOGG} 
\newcommand{\CRESPOGGLB}{\CRESPOII'} 

\newcommand{\CRESPORELATIONAUXAA}{\ensuremath{\|}} 

\newcommand{\CRESPOVALUEIMPIXELAA}[2]
{#1_{#2}}


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