\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\unicdcdcdjd{\cap}
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\newcommand\unicdcdadjd{\notin}
\newcommand\unicdbdjded{\Leftrightarrow}
\newcommand\unicdcdcdid{\lor}
\newcommand\unicdcdcdhd{\land}
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\newcommand\unicdcdaddd{\exists}
\newcommand\unicdcdidid{\not\subseteq}
\newcommand\preoh[1]{\lnot #1}
\newcommand\mname[1]{{\mathsf{#1}}}
\begin{document}
\title{t11\_conlat\_2 (TMRHnocFNR2NEZwivEMJhrFrV9i8ky4kyH4)}
\maketitle
Let $ v1\_conlat\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ l1\_conlat\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ u1\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ u4\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v5\_conlat\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k3\_funct\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}}$ be given.
Let $ k11\_conlat\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k4\_conlat\_2 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v7\_conlat\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ l2\_conlat\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k5\_conlat\_2 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ l5\_struct\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_funct\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_funct\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ k1\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k2\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ v4\_conlat\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k12\_conlat\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v1\_conlat\_1~X0){\unicdcdcdhd}(l5\_struct\_0~X0)){\unicdbdjdcd}(\preoh v1\_xboole\_0~\\
(u1\_struct\_0~X0))\end{array}
\label{hyp:ggdgcdpfdgpgogmgbgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v1\_conlat\_1~X0){\unicdcdcdhd}(l5\_struct\_0~X0)){\unicdbdjdcd}(\preoh v1\_xboole\_0~\\
(u4\_struct\_0~X0))\end{array}
\label{hyp:ggdgbdpfdgpgogmgbgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{({{l1\_conlat\_1}~{X0}})}{\unicdbdjdcd}{({{l5\_struct\_0}~{X0}})}}}\label{hyp:egehpfmgbdpfdgpgogmgbgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v1\_conlat\_1~X0){\unicdcdcdhd}(l1\_conlat\_1~X0)){\unicdbdjdcd}((v1\_funct\_1~\\
(k5\_conlat\_2~X0)){\unicdcdcdhd}((v1\_funct\_2~(k5\_conlat\_2~X0)~(u4\_struct\_0~\\
X0)~(u1\_struct\_0~(k11\_conlat\_1~X0))){\unicdcdcdhd}(m1\_subset\_1~(k5\_conlat\_2~\\
X0)~(k1\_zfmisc\_1~(k2\_zfmisc\_1~(u4\_struct\_0~X0)~(u1\_struct\_0~(\\
k11\_conlat\_1~X0)))))))\end{array}
\label{hyp:egehpflgfdpfdgpgogmgbgehpfcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v1\_conlat\_1~X0){\unicdcdcdhd}(l1\_conlat\_1~X0)){\unicdbdjdcd}((v1\_funct\_1~\\
(k4\_conlat\_2~X0)){\unicdcdcdhd}((v1\_funct\_2~(k4\_conlat\_2~X0)~(u1\_struct\_0~\\
X0)~(u1\_struct\_0~(k11\_conlat\_1~X0))){\unicdcdcdhd}(m1\_subset\_1~(k4\_conlat\_2~\\
X0)~(k1\_zfmisc\_1~(k2\_zfmisc\_1~(u1\_struct\_0~X0)~(u1\_struct\_0~(\\
k11\_conlat\_1~X0)))))))\end{array}
\label{hyp:egehpflgedpfdgpgogmgbgehpfcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  {\unicdcdadad} X3 .  ((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}\\
(((v1\_funct\_1~X2){\unicdcdcdhd}((v1\_funct\_2~X2~X0~X1){\unicdcdcdhd}(m1\_subset\_1~X2~(k1\_zfmisc\_1~\\
(k2\_zfmisc\_1~X0~X1))))){\unicdcdcdhd}(m1\_subset\_1~X3~X0))){\unicdbdjdcd}(m1\_subset\_1~(\\
k3\_funct\_2~X0~X1~X2~X3)~X1)\end{array}
\label{hyp:egehpflgddpfggfhogdgehpfcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (((\preoh v1\_conlat\_1~X0){\unicdcdcdhd}(l1\_conlat\_1~X0)){\unicdcdcdhd}\\
(m1\_subset\_1~X1~(u1\_struct\_0~(k11\_conlat\_1~X0)))){\unicdbdjdcd}((v4\_conlat\_1~\\
(k12\_conlat\_1~X0~X1)~X0){\unicdcdcdhd}((\preoh v5\_conlat\_1~(k12\_conlat\_1~X0~X1)~X0){\unicdcdcdhd}\\
((v7\_conlat\_1~(k12\_conlat\_1~X0~X1)~X0){\unicdcdcdhd}(l2\_conlat\_1~(k12\_conlat\_1~\\
X0~X1)~X0))))\end{array}
\label{hyp:egehpflgbdcdpfdgpgogmgbgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v1\_conlat\_1~X0){\unicdcdcdhd}(l1\_conlat\_1~X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
(m1\_subset\_1~X1~(u1\_struct\_0~(k11\_conlat\_1~X0))){\unicdbdjdcd}(k12\_conlat\_1~\\
X0~X1=X1))\end{array}
\label{hyp:egcdbdpfdgpgogmgbgehpfbd}
\end{equation}
\begin{theorem}\label{thm:ehbdbdpfdgpgogmgbgehpfcd}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v1\_conlat\_1~X0){\unicdcdcdhd}(l1\_conlat\_1~X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
(m1\_subset\_1~X1~(u1\_struct\_0~X0)){\unicdbdjdcd}({\unicdcdadad} X2 .  (m1\_subset\_1~X2~\\
(u4\_struct\_0~X0)){\unicdbdjdcd}(((\preoh v5\_conlat\_1~(k3\_funct\_2~(u1\_struct\_0~\\
X0)~(u1\_struct\_0~(k11\_conlat\_1~X0))~(k4\_conlat\_2~X0)~X1)~X0){\unicdcdcdhd}(\\
(v7\_conlat\_1~(k3\_funct\_2~(u1\_struct\_0~X0)~(u1\_struct\_0~(k11\_conlat\_1~\\
X0))~(k4\_conlat\_2~X0)~X1)~X0){\unicdcdcdhd}(l2\_conlat\_1~(k3\_funct\_2~(u1\_struct\_0~\\
X0)~(u1\_struct\_0~(k11\_conlat\_1~X0))~(k4\_conlat\_2~X0)~X1)~X0))){\unicdcdcdhd}\\
((\preoh v5\_conlat\_1~(k3\_funct\_2~(u4\_struct\_0~X0)~(u1\_struct\_0~(k11\_conlat\_1~\\
X0))~(k5\_conlat\_2~X0)~X2)~X0){\unicdcdcdhd}((v7\_conlat\_1~(k3\_funct\_2~(u4\_struct\_0~\\
X0)~(u1\_struct\_0~(k11\_conlat\_1~X0))~(k5\_conlat\_2~X0)~X2)~X0){\unicdcdcdhd}(\\
l2\_conlat\_1~(k3\_funct\_2~(u4\_struct\_0~X0)~(u1\_struct\_0~(k11\_conlat\_1~\\
X0))~(k5\_conlat\_2~X0)~X2)~X0))))))\end{array}$$
\end{theorem}
\end{document}
