\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=}
\newcommand\unicdcdcdbg{\cup}
\newcommand\unicdcdbdgd{\setminus}
\newcommand\unicdcdcdjd{\cap}
\newcommand\unicdcdadad{\forall}
\newcommand\unicdbdjdcd{\Rightarrow}
\newcommand\unicdcdadjd{\notin}
\newcommand\unicdbdjded{\Leftrightarrow}
\newcommand\unicdcdcdid{\lor}
\newcommand\unicdcdcdhd{\land}
\newcommand\uniddcgcg{\lambda}
\newcommand\unicdcdaddd{\exists}
\newcommand\unicdcdidid{\not\subseteq}
\newcommand\preoh[1]{\lnot #1}
\newcommand\mname[1]{{\mathsf{#1}}}
\begin{document}
\title{t4\_conlat\_2 (TMZNNSfqdjgMfEjvaZhS3r4Lob2fSS7tfUG)}
\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 $ k1\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ u1\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k11\_conlat\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v5\_conlat\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k16\_lattice3 : {{\iota}{\unicdbdjdcd}{{\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 $ k15\_lattice3 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ v2\_struct\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v10\_lattices : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v4\_lattice3 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ l3\_lattices : {{\iota}{\unicdbdjdcd}{o}}$ 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}(l1\_conlat\_1~X0)){\unicdbdjdcd}((\preoh v2\_struct\_0~\\
(k11\_conlat\_1~X0)){\unicdcdcdhd}((v10\_lattices~(k11\_conlat\_1~X0)){\unicdcdcdhd}((v4\_lattice3~\\
(k11\_conlat\_1~X0)){\unicdcdcdhd}(l3\_lattices~(k11\_conlat\_1~X0)))))\end{array}
\label{hyp:ehededpfdgpgogmgbgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  ((\preoh v2\_struct\_0~X0){\unicdcdcdhd}(l3\_lattices~X0)){\unicdbdjdcd}\\
(m1\_subset\_1~(k16\_lattice3~X0~X1)~(u1\_struct\_0~X0))\end{array}
\label{hyp:egehpflgbdgdpfmgbgehehjgdgfgdd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  ((\preoh v2\_struct\_0~X0){\unicdcdcdhd}(l3\_lattices~X0)){\unicdbdjdcd}\\
(m1\_subset\_1~(k15\_lattice3~X0~X1)~(u1\_struct\_0~X0))\end{array}
\label{hyp:egehpflgbdfdpfmgbgehehjgdgfgdd}
\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:ehedpfdgpgogmgbgehpfcd}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v1\_conlat\_1~X0){\unicdcdcdhd}(l1\_conlat\_1~X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
(m1\_subset\_1~X1~(k1\_zfmisc\_1~(u1\_struct\_0~(k11\_conlat\_1~X0)))){\unicdbdjdcd}\\
(((\preoh v5\_conlat\_1~(k16\_lattice3~(k11\_conlat\_1~X0)~X1)~X0){\unicdcdcdhd}((v7\_conlat\_1~\\
(k16\_lattice3~(k11\_conlat\_1~X0)~X1)~X0){\unicdcdcdhd}(l2\_conlat\_1~(k16\_lattice3~\\
(k11\_conlat\_1~X0)~X1)~X0))){\unicdcdcdhd}((\preoh v5\_conlat\_1~(k15\_lattice3~(k11\_conlat\_1~\\
X0)~X1)~X0){\unicdcdcdhd}((v7\_conlat\_1~(k15\_lattice3~(k11\_conlat\_1~X0)~X1)~\\
X0){\unicdcdcdhd}(l2\_conlat\_1~(k15\_lattice3~(k11\_conlat\_1~X0)~X1)~X0)))))\end{array}$$
\end{theorem}
\end{document}
