\documentclass{article}
\newtheorem{axiom}{Axiom}
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\newtheorem{lemma}{Lemma}
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\newtheorem{definition}{Definition}
\newtheorem{example}{Example}
\newtheorem{conjecture}{Conjecture}
\newcommand\unicdcdgdad{\not=}
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\begin{document}
\title{t80\_scmyciel (TMV3aJk49MyJxxYnbkXrsoDmCu59DouuPUB)}
\maketitle
Let $ v4\_scmyciel : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v10\_scmyciel : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ m1\_eqrel\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k3\_tarski : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v7\_scmyciel : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k6\_scmyciel : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v9\_scmyciel : {{\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 $ k7\_scmyciel : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ v5\_scmyciel : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v4\_scmyciel~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  ((v9\_scmyciel~X1~X0){\unicdcdcdhd}\\
(m1\_subset\_1~X1~(k1\_zfmisc\_1~(k3\_tarski~X0)))){\unicdbdjdcd}((v4\_scmyciel~\\
(k7\_scmyciel~(k6\_scmyciel~X0)~X1)){\unicdcdcdhd}((v5\_scmyciel~(k7\_scmyciel~\\
(k6\_scmyciel~X0)~X1)){\unicdcdcdhd}(m1\_subset\_1~(k7\_scmyciel~(k6\_scmyciel~\\
X0)~X1)~(k1\_zfmisc\_1~(k6\_scmyciel~X0))))))\end{array}
\label{hyp:ehhdedpfdhdgngjhdgjgfgmg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v4\_scmyciel~X0){\unicdbdjdcd}(k3\_tarski~X0=k3\_tarski~(k6\_scmyciel~\\
X0))\end{array}
\label{hyp:ehedadpfdhdgngjhdgjgfgmg}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{({{v4\_scmyciel}~{X0}})}{\unicdbdjdcd}{({{v4\_scmyciel}~{({{k6\_scmyciel}~{X0}})}})}}}\label{hyp:egehpflggdpfdhdgngjhdgjgfgmg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v4\_scmyciel~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_eqrel\_1~X1~(k3\_tarski~\\
X0)){\unicdbdjdcd}((v10\_scmyciel~X1~X0){\unicdbdjded}({\unicdcdadad} X2 .  (X2 \in X1){\unicdbdjdcd}((v9\_scmyciel~\\
X2~X0){\unicdcdcdhd}(m1\_subset\_1~X2~(k1\_zfmisc\_1~(k3\_tarski~X0)))))))\end{array}
\label{hyp:egcdadpfdhdgngjhdgjgfgmg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v4\_scmyciel~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_eqrel\_1~X1~(k3\_tarski~\\
X0)){\unicdbdjdcd}((v7\_scmyciel~X1~X0){\unicdbdjded}({\unicdcdadad} X2 .  (X2 \in X1){\unicdbdjdcd}((v4\_scmyciel~\\
(k7\_scmyciel~X0~X2)){\unicdcdcdhd}((v5\_scmyciel~(k7\_scmyciel~X0~X2)){\unicdcdcdhd}(m1\_subset\_1~\\
(k7\_scmyciel~X0~X2)~(k1\_zfmisc\_1~X0)))))))\end{array}
\label{hyp:egbdgdpfdhdgngjhdgjgfgmg}
\end{equation}
\begin{theorem}\label{thm:ehidadpfdhdgngjhdgjgfgmg}
$$\begin{array}{c}{\unicdcdadad} X0 .  (v4\_scmyciel~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  ((v10\_scmyciel~X1~X0){\unicdcdcdhd}\\
(m1\_eqrel\_1~X1~(k3\_tarski~X0))){\unicdbdjdcd}((v7\_scmyciel~X1~(k6\_scmyciel~\\
X0)){\unicdcdcdhd}(m1\_eqrel\_1~X1~(k3\_tarski~(k6\_scmyciel~X0)))))\end{array}$$
\end{theorem}
\end{document}
