\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{l44\_matrixr2 (TMXyCGbKFZk5stmFfUMjQt3UNzw3x88rv8u)}
\maketitle
Let $ v1\_funct\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k1\_finseq\_2 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k6\_numbers : {\iota}$ be given.
Let $ v1\_funct\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ k2\_finseq\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v3\_funct\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\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 $ v7\_ordinal1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k1\_xboole\_0 : {\iota}$ be given.
Let $ v1\_relat\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_finseq\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v7\_ordinal1~X0){\unicdbdjdcd}((v1\_funct\_1~(k1\_finseq\_2~X0)){\unicdcdcdhd}\\
((v1\_funct\_2~(k1\_finseq\_2~X0)~(k2\_finseq\_1~X0)~(k2\_finseq\_1~X0)){\unicdcdcdhd}\\
((v3\_funct\_2~(k1\_finseq\_2~X0)~(k2\_finseq\_1~X0)~(k2\_finseq\_1~X0)){\unicdcdcdhd}\\
(m1\_subset\_1~(k1\_finseq\_2~X0)~(k1\_zfmisc\_1~(k2\_zfmisc\_1~(k2\_finseq\_1~\\
X0)~(k2\_finseq\_1~X0)))))))\end{array}
\label{hyp:ehfdfdpfggjgogdhfgbhpfcd}
\end{equation}
Assume the following.
\begin{equation}
{{k6\_numbers}={k1\_xboole\_0}}\label{hyp:chfgegfgggjgogjgehjgpgogpflggdpfogfhngcgfgchdh}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}(v1\_relat\_1~(k1\_finseq\_2~k6\_numbers)){\unicdcdcdhd}((v1\_funct\_1~(k1\_finseq\_2~\\
k6\_numbers)){\unicdcdcdhd}((v1\_xboole\_0~(k1\_finseq\_2~k6\_numbers)){\unicdcdcdhd}(v1\_finseq\_1~\\
(k1\_finseq\_2~k6\_numbers))))\end{array}
\label{hyp:ggdgcdpfggjgogdhfgbhpfcd}
\end{equation}
Assume the following.
\begin{equation}
{{v1\_xboole\_0}~{k1\_xboole\_0}}\label{hyp:ggdgbdpfihcgpgpgmgfgpfad}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{({{v1\_xboole\_0}~{X0}})}{\unicdbdjdcd}{({{v7\_ordinal1}~{X0}})}}}\label{hyp:dgdghdpfpgchegjgogbgmgbd}
\end{equation}
\begin{theorem}\label{thm:mgededpfngbgehchjgihchcd}
$$\begin{array}{c}(v1\_funct\_1~(k1\_finseq\_2~k6\_numbers)){\unicdcdcdhd}((v1\_funct\_2~(k1\_finseq\_2~\\
k6\_numbers)~(k2\_finseq\_1~k6\_numbers)~(k2\_finseq\_1~k6\_numbers)){\unicdcdcdhd}\\
((v3\_funct\_2~(k1\_finseq\_2~k6\_numbers)~(k2\_finseq\_1~k6\_numbers)~\\
(k2\_finseq\_1~k6\_numbers)){\unicdcdcdhd}(m1\_subset\_1~(k1\_finseq\_2~k6\_numbers)~\\
(k1\_zfmisc\_1~(k2\_zfmisc\_1~(k2\_finseq\_1~k6\_numbers)~(k2\_finseq\_1~\\
k6\_numbers))))))\end{array}$$
\end{theorem}
\end{document}
