\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\preoh[1]{\lnot #1}
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\begin{document}
\title{t27\_abcmiz\_a (TMNcSMzyf5Snh2KVxfMdAaHvb65zjN3BzuP)}
\maketitle
Let $ k23\_abcmiz\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k8\_abcmiz\_a : {\iota}$ be given.
Let $ k6\_abcmiz\_1 : {\iota}$ be given.
Let $ k25\_abcmiz\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k1\_xboole\_0 : {\iota}$ be given.
Let $ k26\_abcmiz\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k6\_numbers : {\iota}$ be given.
Let $ k1\_xtuple\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k4\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k2\_xtuple\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k20\_abcmiz\_1 : {\iota}$ be given.
Let $ k24\_abcmiz\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k2\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k4\_abcmiz\_1 : {\iota}$ be given.
Let $ k5\_numbers : {\iota}$ be given.
Let $ k22\_abcmiz\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k21\_abcmiz\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k1\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ m2\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ k5\_abcmiz\_a : {\iota}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (k1\_xtuple\_0~(k4\_tarski~X0~X1)=X0){\unicdcdcdhd}(k2\_xtuple\_0~\\
(k4\_tarski~X0~X1)=X1)\end{array}
\label{hyp:ehhdpfngdgbgchehpfbd}
\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}{\unicdcdadad} X0 .  (m1\_subset\_1~X0~k20\_abcmiz\_1){\unicdbdjdcd}(k24\_abcmiz\_1~X0=k2\_xtuple\_0~\\
X0)\end{array}
\label{hyp:chfgegfgggjgogjgehjgpgogpflgcdedpfbgcgdgngjgkhpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m1\_subset\_1~X0~k20\_abcmiz\_1){\unicdbdjdcd}(k23\_abcmiz\_1~X0=k1\_xtuple\_0~\\
X0)\end{array}
\label{hyp:chfgegfgggjgogjgehjgpgogpflgcdddpfbgcgdgngjgkhpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m1\_subset\_1~X0~(k2\_zfmisc\_1~k4\_abcmiz\_1~k5\_numbers)){\unicdbdjdcd}\\
(k22\_abcmiz\_1~X0=k2\_xtuple\_0~X0)\end{array}
\label{hyp:chfgegfgggjgogjgehjgpgogpflgcdcdpfbgcgdgngjgkhpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m1\_subset\_1~X0~(k2\_zfmisc\_1~k4\_abcmiz\_1~k5\_numbers)){\unicdbdjdcd}\\
(k21\_abcmiz\_1~X0=k1\_xtuple\_0~X0)\end{array}
\label{hyp:chfgegfgggjgogjgehjgpgogpflgcdbdpfbgcgdgngjgkhpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  ((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}((\preoh v1\_xboole\_0~X1){\unicdcdcdhd}\\
(m1\_subset\_1~X1~(k1\_zfmisc\_1~X0)))){\unicdbdjdcd}({\unicdcdadad} X2 .  (m2\_subset\_1~\\
X2~X0~X1){\unicdbdjdcd}(m1\_subset\_1~X2~X0))\end{array}
\label{hyp:egehpfngcdpfdhfhcgdhfgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{{{m2\_subset\_1}~{k8\_abcmiz\_a}}~{k20\_abcmiz\_1}}~{k5\_abcmiz\_a}}\label{hyp:egehpflgidpfbgcgdgngjgkhpfbg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}(\preoh v1\_xboole\_0~k5\_abcmiz\_a){\unicdcdcdhd}(m1\_subset\_1~k5\_abcmiz\_a~(k1\_zfmisc\_1~\\
k20\_abcmiz\_1))\end{array}
\label{hyp:egehpflgfdpfbgcgdgngjgkhpfbg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m1\_subset\_1~X0~k20\_abcmiz\_1){\unicdbdjdcd}(m1\_subset\_1~(k24\_abcmiz\_1~\\
X0)~(k2\_zfmisc\_1~k4\_abcmiz\_1~k5\_numbers))\end{array}
\label{hyp:egehpflgcdedpfbgcgdgngjgkhpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{k8\_abcmiz\_a}={{{k4\_tarski}~{k6\_abcmiz\_1}}~{({{{k4\_tarski}~{k1\_xboole\_0}}~{k6\_numbers}})}}}\label{hyp:eggdpfbgcgdgngjgkhpfbg}
\end{equation}
Assume the following.
\begin{equation}
{{k6\_abcmiz\_1}={k6\_numbers}}\label{hyp:egedpfbgcgdgngjgkhpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m1\_subset\_1~X0~k20\_abcmiz\_1){\unicdbdjdcd}(k26\_abcmiz\_1~X0=k22\_abcmiz\_1~\\
(k24\_abcmiz\_1~X0))\end{array}
\label{hyp:egcdddpfbgcgdgngjgkhpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m1\_subset\_1~X0~k20\_abcmiz\_1){\unicdbdjdcd}(k25\_abcmiz\_1~X0=k21\_abcmiz\_1~\\
(k24\_abcmiz\_1~X0))\end{array}
\label{hyp:egcdcdpfbgcgdgngjgkhpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v1\_xboole\_0~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~X1~(k1\_zfmisc\_1~\\
X0)){\unicdbdjdcd}(v1\_xboole\_0~X1))\end{array}
\label{hyp:dgdgbdpfdhfhcgdhfgehpfbd}
\end{equation}
\begin{theorem}\label{thm:ehcdhdpfbgcgdgngjgkhpfbg}
$$\begin{array}{c}(k23\_abcmiz\_1~k8\_abcmiz\_a=k6\_abcmiz\_1){\unicdcdcdhd}((k25\_abcmiz\_1~k8\_abcmiz\_a=\\
k1\_xboole\_0){\unicdcdcdhd}(k26\_abcmiz\_1~k8\_abcmiz\_a=k6\_numbers))\end{array}$$
\end{theorem}
\end{document}
