\documentclass{article}
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\newtheorem{conjecture}{Conjecture}
\newcommand\unicdcdgdad{\not=}
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\begin{document}
\title{t1\_finseqop (TMVWsh5i2kL2oM3FS4QJhigNUrhFSAGG3Le)}
\maketitle
Let $ v1\_relat\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_funct\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k13\_funct\_3 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k1\_xboole\_0 : {\iota}$ be given.
Let $ v1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v5\_relat\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ v5\_ordinal1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{({{v1\_xboole\_0}~{X0}})}{\unicdbdjdcd}{({{X0}={k1\_xboole\_0}})}}}\label{hyp:ehgdpfcgpgpgmgfg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v1\_relat\_1~k1\_xboole\_0){\unicdcdcdhd}((v5\_relat\_1~k1\_xboole\_0~\\
X0){\unicdcdcdhd}((v1\_funct\_1~k1\_xboole\_0){\unicdcdcdhd}(v5\_ordinal1~k1\_xboole\_0)))\end{array}
\label{hyp:ehddadpfpgchegjgogbgmgbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (((v1\_relat\_1~X0){\unicdcdcdhd}((v1\_funct\_1~X0){\unicdcdcdhd}(v1\_xboole\_0~\\
X0))){\unicdcdcdhd}((v1\_relat\_1~X1){\unicdcdcdhd}(v1\_funct\_1~X1))){\unicdbdjdcd}((v1\_relat\_1~(k13\_funct\_3~\\
X1~X0)){\unicdcdcdhd}((v1\_funct\_1~(k13\_funct\_3~X1~X0)){\unicdcdcdhd}(v1\_xboole\_0~(k13\_funct\_3~\\
X1~X0))))\end{array}
\label{hyp:ggdgcdpfggfhogdgehpfdd}
\end{equation}
Assume the following.
\begin{equation}
{{v1\_xboole\_0}~{k1\_xboole\_0}}\label{hyp:ggdgbdpfihcgpgpgmgfgpfad}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (((v1\_relat\_1~X0){\unicdcdcdhd}((v1\_funct\_1~X0){\unicdcdcdhd}(v1\_xboole\_0~\\
X0))){\unicdcdcdhd}((v1\_relat\_1~X1){\unicdcdcdhd}(v1\_funct\_1~X1))){\unicdbdjdcd}((v1\_relat\_1~(k13\_funct\_3~\\
X0~X1)){\unicdcdcdhd}((v1\_funct\_1~(k13\_funct\_3~X0~X1)){\unicdcdcdhd}(v1\_xboole\_0~(k13\_funct\_3~\\
X0~X1))))\end{array}
\label{hyp:ggdgbdpfggfhogdgehpfdd}
\end{equation}
\begin{theorem}\label{thm:ehbdpfggjgogdhfgbhpgah}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_relat\_1~X0){\unicdcdcdhd}(v1\_funct\_1~X0)){\unicdbdjdcd}((k13\_funct\_3~\\
k1\_xboole\_0~X0=k1\_xboole\_0){\unicdcdcdhd}(k13\_funct\_3~X0~k1\_xboole\_0=k1\_xboole\_0))\end{array}$$
\end{theorem}
\end{document}
