\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{t22\_conlat\_2 (TMR3MBNdnShv7miYVux5eyMLYPKjJiJR3B5)}
\maketitle
Let $ v1\_conlat\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ l1\_conlat\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ r1\_filter\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k11\_conlat\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k7\_conlat\_2 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k1\_lattice2 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v3\_funct\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ k9\_conlat\_2 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ u1\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v2\_struct\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v10\_lattices : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ l3\_lattices : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v3\_lattices : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ m1\_lattice4 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ v2\_conlat\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v1\_conlat\_1~X0){\unicdcdcdhd}(l1\_conlat\_1~X0)){\unicdbdjdcd}(v3\_funct\_2~\\
(k9\_conlat\_2~X0)~(u1\_struct\_0~(k1\_lattice2~(k11\_conlat\_1~X0)))~\\
(u1\_struct\_0~(k11\_conlat\_1~(k7\_conlat\_2~X0))))\end{array}
\label{hyp:ehcdbdpfdgpgogmgbgehpfcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (((\preoh v2\_struct\_0~X0){\unicdcdcdhd}((v10\_lattices~X0){\unicdcdcdhd}\\
(l3\_lattices~X0))){\unicdcdcdhd}((\preoh v2\_struct\_0~X1){\unicdcdcdhd}((v10\_lattices~X1){\unicdcdcdhd}(\\
l3\_lattices~X1)))){\unicdbdjdcd}((r1\_filter\_1~X0~X1){\unicdbdjdcd}(r1\_filter\_1~X1~X0))\end{array}
\label{hyp:dhjhngngfgehchjhpfchbdpfggjgmgehfgchpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v2\_struct\_0~X0){\unicdcdcdhd}((v10\_lattices~X0){\unicdcdcdhd}(l3\_lattices~\\
X0))){\unicdbdjdcd}((v3\_lattices~(k1\_lattice2~X0)){\unicdcdcdhd}(v10\_lattices~(k1\_lattice2~\\
X0)))\end{array}
\label{hyp:ggdgidpfmgbgehehjgdgfgcd}
\end{equation}
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}((v3\_lattices~(k11\_conlat\_1~X0)){\unicdcdcdhd}(v10\_lattices~\\
(k11\_conlat\_1~X0))))\end{array}
\label{hyp:ggdgedpfdgpgogmgbgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v2\_struct\_0~X0){\unicdcdcdhd}(l3\_lattices~X0)){\unicdbdjdcd}((\preoh v2\_struct\_0~\\
(k1\_lattice2~X0)){\unicdcdcdhd}(v3\_lattices~(k1\_lattice2~X0)))\end{array}
\label{hyp:ggdgbdpfmgbgehehjgdgfgcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v1\_conlat\_1~X0){\unicdcdcdhd}(l1\_conlat\_1~X0)){\unicdbdjdcd}(m1\_lattice4~\\
(k9\_conlat\_2~X0)~(k1\_lattice2~(k11\_conlat\_1~X0))~(k11\_conlat\_1~\\
(k7\_conlat\_2~X0)))\end{array}
\label{hyp:egehpflgjdpfdgpgogmgbgehpfcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v1\_conlat\_1~X0){\unicdcdcdhd}(l1\_conlat\_1~X0)){\unicdbdjdcd}((\preoh v1\_conlat\_1~\\
(k7\_conlat\_2~X0)){\unicdcdcdhd}((v2\_conlat\_1~(k7\_conlat\_2~X0)){\unicdcdcdhd}(l1\_conlat\_1~\\
(k7\_conlat\_2~X0))))\end{array}
\label{hyp:egehpflghdpfdgpgogmgbgehpfcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (l3\_lattices~X0){\unicdbdjdcd}((v3\_lattices~(k1\_lattice2~X0)){\unicdcdcdhd}\\
(l3\_lattices~(k1\_lattice2~X0)))\end{array}
\label{hyp:egehpflgbdpfmgbgehehjgdgfgcd}
\end{equation}
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}((v3\_lattices~(k11\_conlat\_1~X0)){\unicdcdcdhd}(l3\_lattices~\\
(k11\_conlat\_1~X0))))\end{array}
\label{hyp:egehpflgbdbdpfdgpgogmgbgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v2\_struct\_0~X0){\unicdcdcdhd}((v10\_lattices~X0){\unicdcdcdhd}(l3\_lattices~\\
X0))){\unicdbdjdcd}({\unicdcdadad} X1 .  ((\preoh v2\_struct\_0~X1){\unicdcdcdhd}((v10\_lattices~X1){\unicdcdcdhd}(l3\_lattices~\\
X1))){\unicdbdjdcd}((r1\_filter\_1~X0~X1){\unicdbdjded}({\unicdcdaddd} X2 .  (m1\_lattice4~X2~X0~X1){\unicdcdcdhd}\\
(v3\_funct\_2~X2~(u1\_struct\_0~X0)~(u1\_struct\_0~X1)))))\end{array}
\label{hyp:egcdpfmgbgehehjgdgfged}
\end{equation}
\begin{theorem}\label{thm:ehcdcdpfdgpgogmgbgehpfcd}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v1\_conlat\_1~X0){\unicdcdcdhd}(l1\_conlat\_1~X0)){\unicdbdjdcd}(r1\_filter\_1~\\
(k11\_conlat\_1~(k7\_conlat\_2~X0))~(k1\_lattice2~(k11\_conlat\_1~X0)))\end{array}$$
\end{theorem}
\end{document}
