\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=}
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\newcommand\unicdcdadjd{\notin}
\newcommand\unicdbdjded{\Leftrightarrow}
\newcommand\unicdcdcdid{\lor}
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\newcommand\unicdcdaddd{\exists}
\newcommand\unicdcdidid{\not\subseteq}
\newcommand\preoh[1]{\lnot #1}
\newcommand\mname[1]{{\mathsf{#1}}}
\begin{document}
\title{t110\_scmyciel (TMaxUZDNuvNUo6zmpLaf9zWxGzr9A836oEq)}
\maketitle
Let $ v4\_scmyciel : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v6\_scmyciel : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ r1\_xxreal\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ np\_\_2 : {\iota}$ be given.
Let $ k8\_scmyciel : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k12\_scmyciel : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ r1\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ v1\_xxreal\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_finset\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v5\_scmyciel : {{\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\_scmyciel : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v7\_ordinal1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{({{v4\_scmyciel}~{X0}})}{\unicdbdjdcd}{({{{r1\_tarski}~{X0}}~{({{k12\_scmyciel}~{X0}})}})}}}\label{hyp:ehidedpfdhdgngjhdgjgfgmg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v4\_scmyciel~X0){\unicdcdcdhd}(v6\_scmyciel~X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
((v4\_scmyciel~X1){\unicdcdcdhd}(v6\_scmyciel~X1)){\unicdbdjdcd}((r1\_tarski~X0~X1){\unicdbdjdcd}(r1\_xxreal\_0~\\
(k8\_scmyciel~X0)~(k8\_scmyciel~X1))))\end{array}
\label{hyp:ehfdidpfdhdgngjhdgjgfgmg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v1\_xxreal\_0~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (v1\_xxreal\_0~X1){\unicdbdjdcd}((\\
(r1\_xxreal\_0~X0~X1){\unicdcdcdhd}(r1\_xxreal\_0~X1~X0)){\unicdbdjdcd}(X0=X1)))\end{array}
\label{hyp:ehbdpfihihchfgbgmgpfad}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v4\_scmyciel~X0){\unicdcdcdhd}(v6\_scmyciel~X0)){\unicdbdjdcd}((r1\_xxreal\_0~\\
np\_\_2~(k8\_scmyciel~X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  ((v1\_finset\_1~X1){\unicdcdcdhd}((v4\_scmyciel~\\
X1){\unicdcdcdhd}((v5\_scmyciel~X1){\unicdcdcdhd}(m1\_subset\_1~X1~(k1\_zfmisc\_1~(k12\_scmyciel~\\
X0)))))){\unicdbdjdcd}(r1\_xxreal\_0~(k2\_scmyciel~X1)~(k8\_scmyciel~X0))))\end{array}
\label{hyp:ehbdadjdpfdhdgngjhdgjgfgmg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v4\_scmyciel~X0){\unicdcdcdhd}(v6\_scmyciel~X0)){\unicdbdjdcd}((v4\_scmyciel~\\
(k12\_scmyciel~X0)){\unicdcdcdhd}(v6\_scmyciel~(k12\_scmyciel~X0)))\end{array}
\label{hyp:ggdgcdddpfdhdgngjhdgjgfgmg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v4\_scmyciel~X0){\unicdcdcdhd}(v6\_scmyciel~X0)){\unicdbdjdcd}(v7\_ordinal1~\\
(k8\_scmyciel~X0))\end{array}
\label{hyp:egehpflgidpfdhdgngjhdgjgfgmg}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{({{v4\_scmyciel}~{X0}})}{\unicdbdjdcd}{({{v4\_scmyciel}~{({{k12\_scmyciel}~{X0}})}})}}}\label{hyp:egehpflgbdcdpfdhdgngjhdgjgfgmg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v4\_scmyciel~X0){\unicdcdcdhd}(v6\_scmyciel~X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
(v7\_ordinal1~X1){\unicdbdjdcd}((X1=k8\_scmyciel~X0){\unicdbdjded}(({\unicdcdaddd} X2 .  ((v1\_finset\_1~\\
X2){\unicdcdcdhd}((v4\_scmyciel~X2){\unicdcdcdhd}((v5\_scmyciel~X2){\unicdcdcdhd}(m1\_subset\_1~X2~(k1\_zfmisc\_1~\\
X0))))){\unicdcdcdhd}(k2\_scmyciel~X2=X1)){\unicdcdcdhd}({\unicdcdadad} X2 .  ((v1\_finset\_1~X2){\unicdcdcdhd}\\
((v4\_scmyciel~X2){\unicdcdcdhd}((v5\_scmyciel~X2){\unicdcdcdhd}(m1\_subset\_1~X2~(k1\_zfmisc\_1~\\
X0))))){\unicdbdjdcd}(r1\_xxreal\_0~(k2\_scmyciel~X2)~X1)))))\end{array}
\label{hyp:egbdfdpfdhdgngjhdgjgfgmg}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{({{v7\_ordinal1}~{X0}})}{\unicdbdjdcd}{({{v1\_xxreal\_0}~{X0}})}}}\label{hyp:dgdgcdpfihihchfgbgmgpfad}
\end{equation}
\begin{theorem}\label{thm:ehbdbdadpfdhdgngjhdgjgfgmg}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((v4\_scmyciel~X0){\unicdcdcdhd}(v6\_scmyciel~X0)){\unicdbdjdcd}((r1\_xxreal\_0~\\
np\_\_2~(k8\_scmyciel~X0)){\unicdbdjdcd}(k8\_scmyciel~(k12\_scmyciel~X0)=k8\_scmyciel~\\
X0))\end{array}$$
\end{theorem}
\end{document}
