\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{t11\_conlat\_1 (TMMF86Agd7gK2vFxhGsUL1GhyFNazEwtyjm)}
\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 $ u4\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ r1\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k3\_funct\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}}$ be given.
Let $ k9\_setfam\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k2\_conlat\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k1\_conlat\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ r1\_relset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}}$ be given.
Let $ k8\_mcart\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}}$ be given.
Let $ u1\_conlat\_1 : {{\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}({\unicdcdadad} X1 .  \\
(m1\_subset\_1~X1~(k1\_zfmisc\_1~(u1\_struct\_0~X0))){\unicdbdjdcd}({\unicdcdadad} X2 .  \\
(m1\_subset\_1~X2~(k1\_zfmisc\_1~(u4\_struct\_0~X0))){\unicdbdjdcd}((r1\_tarski~\\
X1~(k3\_funct\_2~(k1\_zfmisc\_1~(u4\_struct\_0~X0))~(k9\_setfam\_1~(u1\_struct\_0~\\
X0))~(k2\_conlat\_1~X0)~X2)){\unicdbdjded}(r1\_relset\_1~(u1\_struct\_0~X0)~(u4\_struct\_0~\\
X0)~(k8\_mcart\_1~(u1\_struct\_0~X0)~(u4\_struct\_0~X0)~X1~X2)~(u1\_conlat\_1~\\
X0)))))\end{array}
\label{hyp:ehjdpfdgpgogmgbgehpfbd}
\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~(k1\_zfmisc\_1~(u1\_struct\_0~X0))){\unicdbdjdcd}({\unicdcdadad} X2 .  \\
(m1\_subset\_1~X2~(k1\_zfmisc\_1~(u4\_struct\_0~X0))){\unicdbdjdcd}((r1\_tarski~\\
X2~(k3\_funct\_2~(k1\_zfmisc\_1~(u1\_struct\_0~X0))~(k9\_setfam\_1~(u4\_struct\_0~\\
X0))~(k1\_conlat\_1~X0)~X1)){\unicdbdjded}(r1\_relset\_1~(u1\_struct\_0~X0)~(u4\_struct\_0~\\
X0)~(k8\_mcart\_1~(u1\_struct\_0~X0)~(u4\_struct\_0~X0)~X1~X2)~(u1\_conlat\_1~\\
X0)))))\end{array}
\label{hyp:ehbdadpfdgpgogmgbgehpfbd}
\end{equation}
\begin{theorem}\label{thm:ehbdbdpfdgpgogmgbgehpfbd}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v1\_conlat\_1~X0){\unicdcdcdhd}(l1\_conlat\_1~X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
(m1\_subset\_1~X1~(k1\_zfmisc\_1~(u1\_struct\_0~X0))){\unicdbdjdcd}({\unicdcdadad} X2 .  \\
(m1\_subset\_1~X2~(k1\_zfmisc\_1~(u4\_struct\_0~X0))){\unicdbdjdcd}((r1\_tarski~\\
X1~(k3\_funct\_2~(k1\_zfmisc\_1~(u4\_struct\_0~X0))~(k9\_setfam\_1~(u1\_struct\_0~\\
X0))~(k2\_conlat\_1~X0)~X2)){\unicdbdjded}(r1\_tarski~X2~(k3\_funct\_2~(k1\_zfmisc\_1~\\
(u1\_struct\_0~X0))~(k9\_setfam\_1~(u4\_struct\_0~X0))~(k1\_conlat\_1~\\
X0)~X1)))))\end{array}$$
\end{theorem}
\end{document}
