\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{l15\_lattice5 (TMQef9L9N9vY6grwaj96Cov1Dov6jca5CNf)}
\maketitle
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k5\_numbers : {\iota}$ be given.
Let $ r1\_xxreal\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ np\_\_1 : {\iota}$ be given.
Let $ k2\_nat\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m1\_subset\_1~X0~k5\_numbers){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~\\
X1~k5\_numbers){\unicdbdjdcd}(\preoh (r1\_xxreal\_0~X0~X1){\unicdcdcdhd}((X0{\unicdcdgdad}X1){\unicdcdcdhd}(\preoh r1\_xxreal\_0~\\
(k2\_nat\_1~X0~np\_\_1)~X1))))\end{array}
\label{hyp:mgbdpfdhfgehmgjgngpfbd}
\end{equation}
\begin{theorem}\label{thm:mgbdfdpfmgbgehehjgdgfgfd}
$$\begin{array}{c}{\unicdcdadad} X0 .  (m1\_subset\_1~X0~k5\_numbers){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~\\
X1~k5\_numbers){\unicdbdjdcd}({\unicdcdadad} X2 .  (m1\_subset\_1~X2~k5\_numbers){\unicdbdjdcd}(\preoh (r1\_xxreal\_0~\\
np\_\_1~X0){\unicdcdcdhd}((\preoh r1\_xxreal\_0~(k2\_nat\_1~X1~X2)~X0){\unicdcdcdhd}((\preoh (r1\_xxreal\_0~\\
np\_\_1~X0){\unicdcdcdhd}(\preoh r1\_xxreal\_0~X1~X0)){\unicdcdcdhd}((\preoh (X1=X0){\unicdcdcdhd}(\preoh r1\_xxreal\_0~(k2\_nat\_1~\\
X1~X2)~X0)){\unicdcdcdhd}(\preoh (r1\_xxreal\_0~(k2\_nat\_1~X1~np\_\_1)~X0){\unicdcdcdhd}(\preoh r1\_xxreal\_0~\\
(k2\_nat\_1~X1~X2)~X0))))))))\end{array}$$
\end{theorem}
\end{document}
