\documentclass{article}
\newtheorem{axiom}{Axiom}
\newtheorem{theorem}{Theorem}
\newtheorem{lemma}{Lemma}
\newtheorem{proposition}{Proposition}
\newtheorem{definition}{Definition}
\newtheorem{example}{Example}
\newtheorem{conjecture}{Conjecture}
\newcommand\unicdcdgdad{\not=}
\newcommand\unicdcdcdbg{\cup}
\newcommand\unicdcdbdgd{\setminus}
\newcommand\unicdcdcdjd{\cap}
\newcommand\unicdcdadad{\forall}
\newcommand\unicdbdjdcd{\Rightarrow}
\newcommand\unicdcdadjd{\notin}
\newcommand\unicdbdjded{\Leftrightarrow}
\newcommand\unicdcdcdid{\lor}
\newcommand\unicdcdcdhd{\land}
\newcommand\uniddcgcg{\lambda}
\newcommand\unicdcdaddd{\exists}
\newcommand\unicdcdidid{\not\subseteq}
\newcommand\preoh[1]{\lnot #1}
\newcommand\mname[1]{{\mathsf{#1}}}
\begin{document}
\title{l4\_scm\_comp (TMHFTeLqttfiGxWzmKLH5EBcMBtcZvGosw2)}
\maketitle
Let $ k7\_dtconstr : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k1\_scm\_comp : {\iota}$ be given.
Let $ k2\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ np\_\_1 : {\iota}$ be given.
Let $ np\_\_5 : {\iota}$ be given.
Let $ v2\_struct\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_lang1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_dtconstr : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v2\_dtconstr : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v3\_dtconstr : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v3\_bintree1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ l1\_lang1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k6\_dtconstr : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k2\_ami\_2 : {\iota}$ be given.
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ u1\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ r1\_lang1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ k4\_pre\_poly : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}(\preoh v2\_struct\_0~k1\_scm\_comp){\unicdcdcdhd}((v1\_lang1~k1\_scm\_comp){\unicdcdcdhd}((v1\_dtconstr~\\
k1\_scm\_comp){\unicdcdcdhd}((v2\_dtconstr~k1\_scm\_comp){\unicdcdcdhd}((v3\_dtconstr~k1\_scm\_comp){\unicdcdcdhd}\\
((v3\_bintree1~k1\_scm\_comp){\unicdcdcdhd}(l1\_lang1~k1\_scm\_comp))))))\end{array}
\label{hyp:egehpflgbdpfdhdgngpfdgpgngah}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v2\_struct\_0~X0){\unicdcdcdhd}((v1\_lang1~X0){\unicdcdcdhd}((v1\_dtconstr~\\
X0){\unicdcdcdhd}((v2\_dtconstr~X0){\unicdcdcdhd}((v3\_dtconstr~X0){\unicdcdcdhd}((v3\_bintree1~X0){\unicdcdcdhd}\\
(l1\_lang1~X0))))))){\unicdbdjdcd}((X0=k1\_scm\_comp){\unicdbdjded}((k6\_dtconstr~X0=k2\_ami\_2){\unicdcdcdhd}\\
((k7\_dtconstr~X0=k2\_zfmisc\_1~np\_\_1~np\_\_5){\unicdcdcdhd}({\unicdcdadad} X1 .  (m1\_subset\_1~\\
X1~(u1\_struct\_0~X0)){\unicdbdjdcd}({\unicdcdadad} X2 .  (m1\_subset\_1~X2~(u1\_struct\_0~\\
X0)){\unicdbdjdcd}({\unicdcdadad} X3 .  (m1\_subset\_1~X3~(u1\_struct\_0~X0)){\unicdbdjdcd}((r1\_lang1~\\
X0~X1~(k4\_pre\_poly~(u1\_struct\_0~X0)~X2~X3)){\unicdbdjded}(X1 \in k2\_zfmisc\_1~np\_\_1~\\
np\_\_5))))))))\end{array}
\label{hyp:egbdpfdhdgngpfdgpgngah}
\end{equation}
\begin{theorem}\label{thm:mgedpfdhdgngpfdgpgngah}
${{{k7\_dtconstr}~{k1\_scm\_comp}}={{{k2\_zfmisc\_1}~{np\_\_1}}~{np\_\_5}}}$.
\end{theorem}
\end{document}
