\def\tuple#1{(#1)}
\def\inu#1{^{i \in 1\ldots #1}}
\def\Def{\mathtt{\upshape let}~}
\def\And{~\mathtt{\upshape and}~}
\def\dd{{\cal D}}
\def\pp{{\cal P}}
\def\su{\varphi}
\def\redstruct{\leftrightarrow}
\def\heat{\rightarrow}
\def\cool{\leftarrow}
\def\redsoupe{\Rightarrow}
\let\name\relax