\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{t37\_comput\_1 (TMZXGBUedPpRhBVU8Xm4H3txb5QWqrtpyc8)}
\maketitle
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k5\_numbers : {\iota}$ be given.
Let $ k19\_margrel1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k5\_comput\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k1\_relset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k3\_finseq\_2 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k4\_finseq\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ r1\_xxreal\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ np\_\_1 : {\iota}$ be given.
Let $ k10\_xtuple\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_funct\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v2\_margrel1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k1\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k2\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ v1\_relat\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v4\_relat\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ v4\_valued\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v2\_comput\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v3\_margrel1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m1\_subset\_1~X0~k5\_numbers){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~\\
X1~k5\_numbers){\unicdbdjdcd}((k1\_relset\_1~(k3\_finseq\_2~k5\_numbers)~(k5\_comput\_1~\\
X0~X1)=k4\_finseq\_2~X0~k5\_numbers){\unicdcdcdhd}(((r1\_xxreal\_0~np\_\_1~X1){\unicdcdcdhd}(\\
r1\_xxreal\_0~X1~X0)){\unicdbdjdcd}(k10\_xtuple\_0~(k5\_comput\_1~X0~X1)=k5\_numbers))))\end{array}
\label{hyp:ehddgdpfdgpgngahfhehpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v1\_xboole\_0~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  ((v1\_funct\_1~X1){\unicdcdcdhd}(\\
(v2\_margrel1~X1){\unicdcdcdhd}(m1\_subset\_1~X1~(k1\_zfmisc\_1~(k2\_zfmisc\_1~(\\
k3\_finseq\_2~X0)~X0))))){\unicdbdjdcd}({\unicdcdadad} X2 .  (m1\_subset\_1~X2~k5\_numbers){\unicdbdjdcd}\\
((k1\_relset\_1~(k3\_finseq\_2~X0)~X1=k4\_finseq\_2~X2~X0){\unicdbdjdcd}(k19\_margrel1~\\
X1=X2))))\end{array}
\label{hyp:ehcdfdpfdgpgngahfhehpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_relat\_1~X0){\unicdcdcdhd}((v4\_relat\_1~X0~(k3\_finseq\_2~k5\_numbers)){\unicdcdcdhd}\\
((v1\_funct\_1~X0){\unicdcdcdhd}((v4\_valued\_0~X0){\unicdcdcdhd}(v2\_comput\_1~X0))))){\unicdbdjdcd}((\\
v1\_funct\_1~X0){\unicdcdcdhd}((v3\_margrel1~X0~k5\_numbers){\unicdcdcdhd}(m1\_subset\_1~X0~\\
(k1\_zfmisc\_1~(k2\_zfmisc\_1~(k3\_finseq\_2~k5\_numbers)~k5\_numbers)))))\end{array}
\label{hyp:ehbdhdpfdgpgngahfhehpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  ((m1\_subset\_1~X0~k5\_numbers){\unicdcdcdhd}(m1\_subset\_1~\\
X1~k5\_numbers)){\unicdbdjdcd}((\preoh v1\_xboole\_0~(k5\_comput\_1~X0~X1)){\unicdcdcdhd}((v1\_relat\_1~\\
(k5\_comput\_1~X0~X1)){\unicdcdcdhd}((v4\_relat\_1~(k5\_comput\_1~X0~X1)~(k3\_finseq\_2~\\
k5\_numbers)){\unicdcdcdhd}((v1\_funct\_1~(k5\_comput\_1~X0~X1)){\unicdcdcdhd}((v4\_valued\_0~\\
(k5\_comput\_1~X0~X1)){\unicdcdcdhd}((v2\_margrel1~(k5\_comput\_1~X0~X1)){\unicdcdcdhd}(v2\_comput\_1~\\
(k5\_comput\_1~X0~X1))))))))\end{array}
\label{hyp:ggdggdpfdgpgngahfhehpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  ((m1\_subset\_1~X0~k5\_numbers){\unicdcdcdhd}(m1\_subset\_1~\\
X1~k5\_numbers)){\unicdbdjdcd}((v1\_relat\_1~(k5\_comput\_1~X0~X1)){\unicdcdcdhd}((v4\_relat\_1~\\
(k5\_comput\_1~X0~X1)~(k3\_finseq\_2~k5\_numbers)){\unicdcdcdhd}((v1\_funct\_1~(\\
k5\_comput\_1~X0~X1)){\unicdcdcdhd}((v4\_valued\_0~(k5\_comput\_1~X0~X1)){\unicdcdcdhd}(v2\_margrel1~\\
(k5\_comput\_1~X0~X1))))))\end{array}
\label{hyp:egehpflgfdpfdgpgngahfhehpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (v1\_xboole\_0~X0){\unicdbdjdcd}({\unicdcdadad} X2 .  (m1\_subset\_1~\\
X2~(k1\_zfmisc\_1~(k2\_zfmisc\_1~X1~X0))){\unicdbdjdcd}(v1\_xboole\_0~X2))\end{array}
\label{hyp:dgdgedpfchfgmgdhfgehpfbd}
\end{equation}
\begin{theorem}\label{thm:ehddhdpfdgpgngahfhehpfbd}
$$\begin{array}{c}{\unicdcdadad} X0 .  (m1\_subset\_1~X0~k5\_numbers){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~\\
X1~k5\_numbers){\unicdbdjdcd}(k19\_margrel1~(k5\_comput\_1~X0~X1)=X0))\end{array}$$
\end{theorem}
\end{document}
