\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{t63\_intpro\_1 (TMYYhCLxDLYxnVJZSRPwuDc7qn55bmXq8hF)}
\maketitle
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_intpro\_1 : {\iota}$ be given.
Let $ k3\_intpro\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k8\_intpro\_1 : {\iota}$ be given.
Let $ k5\_intpro\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m1\_subset\_1~X0~k1\_intpro\_1){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~\\
X1~k1\_intpro\_1){\unicdbdjdcd}({\unicdcdadad} X2 .  (m1\_subset\_1~X2~k1\_intpro\_1){\unicdbdjdcd}((\\
k3\_intpro\_1~X0~X1 \in k8\_intpro\_1){\unicdbdjdcd}(k3\_intpro\_1~(k5\_intpro\_1~X0~\\
X2)~(k5\_intpro\_1~X1~X2) \in k8\_intpro\_1))))\end{array}
\label{hyp:ehgdbdpfjgogehahchpgpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m1\_subset\_1~X0~k1\_intpro\_1){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~\\
X1~k1\_intpro\_1){\unicdbdjdcd}(k3\_intpro\_1~(k5\_intpro\_1~X0~X1)~(k5\_intpro\_1~\\
X1~X0) \in k8\_intpro\_1))\end{array}
\label{hyp:ehfdgdpfjgogehahchpgpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m1\_subset\_1~X0~k1\_intpro\_1){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~\\
X1~k1\_intpro\_1){\unicdbdjdcd}({\unicdcdadad} X2 .  (m1\_subset\_1~X2~k1\_intpro\_1){\unicdbdjdcd}((\\
(k3\_intpro\_1~X0~X1 \in k8\_intpro\_1){\unicdcdcdhd}(k3\_intpro\_1~X1~X2 \in k8\_intpro\_1)){\unicdbdjdcd}\\
(k3\_intpro\_1~X0~X2 \in k8\_intpro\_1))))\end{array}
\label{hyp:ehcdgdpfjgogehahchpgpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  ((m1\_subset\_1~X0~k1\_intpro\_1){\unicdcdcdhd}(m1\_subset\_1~\\
X1~k1\_intpro\_1)){\unicdbdjdcd}(m1\_subset\_1~(k5\_intpro\_1~X0~X1)~k1\_intpro\_1)\end{array}
\label{hyp:egehpflgfdpfjgogehahchpgpfbd}
\end{equation}
\begin{theorem}\label{thm:ehgdddpfjgogehahchpgpfbd}
$$\begin{array}{c}{\unicdcdadad} X0 .  (m1\_subset\_1~X0~k1\_intpro\_1){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~\\
X1~k1\_intpro\_1){\unicdbdjdcd}({\unicdcdadad} X2 .  (m1\_subset\_1~X2~k1\_intpro\_1){\unicdbdjdcd}((\\
k3\_intpro\_1~X0~X1 \in k8\_intpro\_1){\unicdbdjdcd}(k3\_intpro\_1~(k5\_intpro\_1~X2~\\
X0)~(k5\_intpro\_1~X2~X1) \in k8\_intpro\_1))))\end{array}$$
\end{theorem}
\end{document}
