\documentclass{article}
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\newtheorem{theorem}{Theorem}
\newtheorem{lemma}{Lemma}
\newtheorem{proposition}{Proposition}
\newtheorem{definition}{Definition}
\newtheorem{example}{Example}
\newtheorem{conjecture}{Conjecture}
\newcommand\unicdcdgdad{\not=}
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\newcommand\unicdcdadjd{\notin}
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\newcommand\unicdcdidid{\not\subseteq}
\newcommand\preoh[1]{\lnot #1}
\newcommand\mname[1]{{\mathsf{#1}}}
\begin{document}
\title{l82\_finseq\_6 (TMSMV3wgrQMV6zhcz1G3t2m4SqPqm5uxbLe)}
\maketitle
Let $ v7\_ordinal1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ m2\_finseq\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k10\_xtuple\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ r1\_xxreal\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k4\_finseq\_4 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k1\_nat\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k2\_rfinseq : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v7\_ordinal1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (\preoh v1\_xboole\_0~X1){\unicdbdjdcd}(\\
{\unicdcdadad} X2 .  (m1\_subset\_1~X2~X1){\unicdbdjdcd}({\unicdcdadad} X3 .  (m2\_finseq\_1~X3~X1){\unicdbdjdcd}\\
((X2 \in k10\_xtuple\_0~X3){\unicdbdjdcd}((r1\_xxreal\_0~(k4\_finseq\_4~X3~X2)~X0){\unicdcdcdid}\\
(k4\_finseq\_4~X3~X2=k1\_nat\_1~X0~(k4\_finseq\_4~(k2\_rfinseq~X1~X0~X3)~\\
X2)))))))\end{array}
\label{hyp:ehfdgdpfggjgogdhfgbhpfgd}
\end{equation}
\begin{theorem}\label{thm:mgidcdpfggjgogdhfgbhpfgd}
$$\begin{array}{c}{\unicdcdadad} X0 .  (v7\_ordinal1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (\preoh v1\_xboole\_0~X1){\unicdbdjdcd}(\\
{\unicdcdadad} X2 .  (m1\_subset\_1~X2~X1){\unicdbdjdcd}({\unicdcdadad} X3 .  (m2\_finseq\_1~X3~X1){\unicdbdjdcd}\\
((X2 \in k10\_xtuple\_0~X3){\unicdbdjdcd}((r1\_xxreal\_0~(k4\_finseq\_4~X3~X2)~X0){\unicdcdcdid}\\
(k1\_nat\_1~X0~(k4\_finseq\_4~(k2\_rfinseq~X1~X0~X3)~X2)=k4\_finseq\_4~\\
X3~X2))))))\end{array}$$
\end{theorem}
\end{document}
