\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}
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\newcommand\unicdcdadjd{\notin}
\newcommand\unicdbdjded{\Leftrightarrow}
\newcommand\unicdcdcdid{\lor}
\newcommand\unicdcdcdhd{\land}
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\newcommand\unicdcdaddd{\exists}
\newcommand\unicdcdidid{\not\subseteq}
\newcommand\preoh[1]{\lnot #1}
\newcommand\mname[1]{{\mathsf{#1}}}
\begin{document}
\title{t28\_interva1 (TMa5Lm5mcVUDgqyqGQbFZgddAmFek8z1P1G)}
\maketitle
Let $ v1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_interva1 : {{\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.
Let $ r1\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k7\_interva1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k8\_interva1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k1\_setfam\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  ((\preoh v1\_xboole\_0~X1){\unicdcdcdhd}((v1\_interva1~X1~X0){\unicdcdcdhd}\\
(m1\_subset\_1~X1~(k1\_zfmisc\_1~(k1\_zfmisc\_1~X0))))){\unicdbdjdcd}(k7\_interva1~\\
X0~X1=k1\_setfam\_1~X1)\end{array}
\label{hyp:chfgegfgggjgogjgehjgpgogpflghdpfjgogehfgchghbgbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  ((\preoh v1\_xboole\_0~X1){\unicdcdcdhd}((v1\_interva1~X1~X0){\unicdcdcdhd}\\
(m1\_subset\_1~X1~(k1\_zfmisc\_1~(k1\_zfmisc\_1~X0))))){\unicdbdjdcd}({\unicdcdadad} X2 .  \\
(X2 \in X1){\unicdbdjdcd}((X2=k8\_interva1~X0~X1){\unicdbdjded}({\unicdcdadad} X3 .  (X3 \in X1){\unicdbdjdcd}(r1\_tarski~\\
X3~X2))))\end{array}
\label{hyp:mgddhdpfjgogehfgchghbgbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  ((\preoh v1\_xboole\_0~X1){\unicdcdcdhd}((v1\_interva1~X1~X0){\unicdcdcdhd}\\
(m1\_subset\_1~X1~(k1\_zfmisc\_1~(k1\_zfmisc\_1~X0))))){\unicdbdjdcd}({\unicdcdadad} X2 .  \\
(X2 \in X1){\unicdbdjdcd}((X2=k7\_interva1~X0~X1){\unicdbdjded}({\unicdcdadad} X3 .  (X3 \in X1){\unicdbdjdcd}(r1\_tarski~\\
X2~X3))))\end{array}
\label{hyp:mgddgdpfjgogehfgchghbgbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (m1\_subset\_1~X1~(k1\_zfmisc\_1~(k1\_zfmisc\_1~\\
X0))){\unicdbdjdcd}((v1\_interva1~X1~X0){\unicdbdjded}({\unicdcdaddd} X2 .  {\unicdcdaddd} X3 .  (X2 \in X1){\unicdcdcdhd}(\\
(X3 \in X1){\unicdcdcdhd}({\unicdcdadad} X4 .  (X4 \in X1){\unicdbdjded}((r1\_tarski~X2~X4){\unicdcdcdhd}(r1\_tarski~X4~\\
X3))))))\end{array}
\label{hyp:egidpfjgogehfgchghbgbd}
\end{equation}
\begin{theorem}\label{thm:ehcdidpfjgogehfgchghbgbd}
$$\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  ((\preoh v1\_xboole\_0~X2){\unicdcdcdhd}((v1\_interva1~\\
X2~X0){\unicdcdcdhd}(m1\_subset\_1~X2~(k1\_zfmisc\_1~(k1\_zfmisc\_1~X0))))){\unicdbdjdcd}((X1 \in \\
X2){\unicdbdjded}((r1\_tarski~(k7\_interva1~X0~X2)~X1){\unicdcdcdhd}(r1\_tarski~X1~(k8\_interva1~\\
X0~X2))))\end{array}$$
\end{theorem}
\end{document}
