\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{t5\_incsp\_1 (TMLUD9mpFzKDuLHhKeiAJBtLyZFEvCbp3xV)}
\maketitle
Let $ l2\_incsp\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ u1\_incsp\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ u4\_incsp\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ r5\_incsp\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ k9\_domain\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}}}$ be given.
Let $ r2\_incsp\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ v1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k2\_enumset1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}}$ be given.
Let $ l1\_incsp\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k1\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  {\unicdcdadad} X3 .  {\unicdcdadad} X4 .  ((\preoh v1\_xboole\_0~\\
X0){\unicdcdcdhd}((m1\_subset\_1~X1~X0){\unicdcdcdhd}((m1\_subset\_1~X2~X0){\unicdcdcdhd}((m1\_subset\_1~\\
X3~X0){\unicdcdcdhd}(m1\_subset\_1~X4~X0))))){\unicdbdjdcd}(k9\_domain\_1~X0~X1~X2~X3~X4=k2\_enumset1~\\
X1~X2~X3~X4)\end{array}
\label{hyp:chfgegfgggjgogjgehjgpgogpflgjdpfegpgngbgjgogpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{({{l1\_incsp\_1}~{X0}})}{\unicdbdjdcd}{({\preoh{{{v1\_xboole\_0}~{({{u1\_incsp\_1}~{X0}})}}}})}}}\label{hyp:egehpffhbdpfjgogdgdhahpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{({{l2\_incsp\_1}~{X0}})}{\unicdbdjdcd}{({{l1\_incsp\_1}~{X0}})}}}\label{hyp:egehpfmgcdpfjgogdgdhahpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  {\unicdcdadad} X3 .  {\unicdcdadad} X4 .  ((\preoh v1\_xboole\_0~\\
X0){\unicdcdcdhd}((m1\_subset\_1~X1~X0){\unicdcdcdhd}((m1\_subset\_1~X2~X0){\unicdcdcdhd}((m1\_subset\_1~\\
X3~X0){\unicdcdcdhd}(m1\_subset\_1~X4~X0))))){\unicdbdjdcd}(m1\_subset\_1~(k9\_domain\_1~X0~X1~\\
X2~X3~X4)~(k1\_zfmisc\_1~X0))\end{array}
\label{hyp:egehpflgjdpfegpgngbgjgogpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (l2\_incsp\_1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~X1~(k1\_zfmisc\_1~\\
(u1\_incsp\_1~X0))){\unicdbdjdcd}({\unicdcdadad} X2 .  (m1\_subset\_1~X2~(u4\_incsp\_1~X0)){\unicdbdjdcd}\\
((r5\_incsp\_1~X0~X1~X2){\unicdbdjded}({\unicdcdadad} X3 .  (m1\_subset\_1~X3~(u1\_incsp\_1~\\
X0)){\unicdbdjdcd}((X3 \in X1){\unicdbdjdcd}(r2\_incsp\_1~X0~X3~X2))))))\end{array}
\label{hyp:egfdpfjgogdgdhahpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  {\unicdcdadad} X3 .  {\unicdcdadad} X4 .  (X4=k2\_enumset1~\\
X0~X1~X2~X3){\unicdbdjded}({\unicdcdadad} X5 .  (X5 \in X4){\unicdbdjded}(\preoh (X5{\unicdcdgdad}X0){\unicdcdcdhd}((X5{\unicdcdgdad}X1){\unicdcdcdhd}((X5{\unicdcdgdad}X2){\unicdcdcdhd}\\
(X5{\unicdcdgdad}X3)))))\end{array}
\label{hyp:egcdpffgogfhngdhfgehbd}
\end{equation}
\begin{theorem}\label{thm:ehfdpfjgogdgdhahpfbd}
$$\begin{array}{c}{\unicdcdadad} X0 .  (l2\_incsp\_1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~X1~(u1\_incsp\_1~\\
X0)){\unicdbdjdcd}({\unicdcdadad} X2 .  (m1\_subset\_1~X2~(u1\_incsp\_1~X0)){\unicdbdjdcd}({\unicdcdadad} X3 .  \\
(m1\_subset\_1~X3~(u1\_incsp\_1~X0)){\unicdbdjdcd}({\unicdcdadad} X4 .  (m1\_subset\_1~X4~\\
(u1\_incsp\_1~X0)){\unicdbdjdcd}({\unicdcdadad} X5 .  (m1\_subset\_1~X5~(u4\_incsp\_1~X0)){\unicdbdjdcd}\\
((r5\_incsp\_1~X0~(k9\_domain\_1~(u1\_incsp\_1~X0)~X1~X2~X3~X4)~X5){\unicdbdjded}((\\
r2\_incsp\_1~X0~X1~X5){\unicdcdcdhd}((r2\_incsp\_1~X0~X2~X5){\unicdcdcdhd}((r2\_incsp\_1~X0~X3~X5){\unicdcdcdhd}\\
(r2\_incsp\_1~X0~X4~X5))))))))))\end{array}$$
\end{theorem}
\end{document}
