\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{t71\_prob\_3 (TMGbuN29Pad8bv64eLBrKUGNEdqmj36vQqo)}
\maketitle
Let $ v1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v2\_prob\_3 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k9\_setfam\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v3\_prob\_3 : {{\iota}{\unicdbdjdcd}{{\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.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v2\_prob\_3~(k9\_setfam\_1~X0)~X0){\unicdcdcdhd}(v3\_prob\_3~(k9\_setfam\_1~\\
X0)~X0)\end{array}
\label{hyp:ehgdidpfahchpgcgpfdd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  m1\_subset\_1~(k9\_setfam\_1~X0)~(k1\_zfmisc\_1~(k1\_zfmisc\_1~\\
X0))\end{array}
\label{hyp:egehpflgjdpfdhfgehggbgngpfbd}
\end{equation}
\begin{theorem}\label{thm:ehhdbdpfahchpgcgpfdd}
$$\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v1\_xboole\_0~X0){\unicdbdjdcd}((v2\_prob\_3~(k9\_setfam\_1~X0)~X0){\unicdcdcdhd}\\
((v3\_prob\_3~(k9\_setfam\_1~X0)~X0){\unicdcdcdhd}(m1\_subset\_1~(k9\_setfam\_1~X0)~\\
(k1\_zfmisc\_1~(k1\_zfmisc\_1~X0)))))\end{array}$$
\end{theorem}
\end{document}
