\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{t56\_incsp\_1 (TMaEBJe1EEDP9Gf2hXfeM5LyyJLbNr5yGzq)}
\maketitle
Let $ v15\_incsp\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
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 $ u2\_incsp\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ u4\_incsp\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ r4\_incsp\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ k7\_domain\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ r5\_incsp\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ r3\_incsp\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ v11\_incsp\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v5\_incsp\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v6\_incsp\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v7\_incsp\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v8\_incsp\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v9\_incsp\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v10\_incsp\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v12\_incsp\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v13\_incsp\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v14\_incsp\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (l2\_incsp\_1~X0){\unicdbdjdcd}((v11\_incsp\_1~X0){\unicdbdjded}({\unicdcdadad} X1 .  (m1\_subset\_1~\\
X1~(u2\_incsp\_1~X0)){\unicdbdjdcd}({\unicdcdadad} X2 .  (m1\_subset\_1~X2~(u4\_incsp\_1~X0)){\unicdbdjdcd}\\
(({\unicdcdaddd} X3 .  (m1\_subset\_1~X3~(u1\_incsp\_1~X0)){\unicdcdcdhd}({\unicdcdaddd} X4 .  (m1\_subset\_1~\\
X4~(u1\_incsp\_1~X0)){\unicdcdcdhd}((X3{\unicdcdgdad}X4){\unicdcdcdhd}((r4\_incsp\_1~X0~(k7\_domain\_1~(u1\_incsp\_1~\\
X0)~X3~X4)~X1){\unicdcdcdhd}(r5\_incsp\_1~X0~(k7\_domain\_1~(u1\_incsp\_1~X0)~X3~X4)~\\
X2))))){\unicdbdjdcd}(r3\_incsp\_1~X0~X1~X2)))))\end{array}
\label{hyp:egbdedpfjgogdgdhahpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (l2\_incsp\_1~X0){\unicdbdjdcd}((v15\_incsp\_1~X0){\unicdbdjdcd}((v5\_incsp\_1~X0){\unicdcdcdhd}\\
((v6\_incsp\_1~X0){\unicdcdcdhd}((v7\_incsp\_1~X0){\unicdcdcdhd}((v8\_incsp\_1~X0){\unicdcdcdhd}((v9\_incsp\_1~\\
X0){\unicdcdcdhd}((v10\_incsp\_1~X0){\unicdcdcdhd}((v11\_incsp\_1~X0){\unicdcdcdhd}((v12\_incsp\_1~X0){\unicdcdcdhd}\\
((v13\_incsp\_1~X0){\unicdcdcdhd}(v14\_incsp\_1~X0)))))))))))\end{array}
\label{hyp:dgdgbdpfjgogdgdhahpfbd}
\end{equation}
\begin{theorem}\label{thm:ehfdgdpfjgogdgdhahpfbd}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((v15\_incsp\_1~X0){\unicdcdcdhd}(l2\_incsp\_1~X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  (\\
m1\_subset\_1~X1~(u1\_incsp\_1~X0)){\unicdbdjdcd}({\unicdcdadad} X2 .  (m1\_subset\_1~X2~(\\
u1\_incsp\_1~X0)){\unicdbdjdcd}({\unicdcdadad} X3 .  (m1\_subset\_1~X3~(u2\_incsp\_1~X0)){\unicdbdjdcd}\\
({\unicdcdadad} X4 .  (m1\_subset\_1~X4~(u4\_incsp\_1~X0)){\unicdbdjdcd}(((r4\_incsp\_1~X0~\\
(k7\_domain\_1~(u1\_incsp\_1~X0)~X1~X2)~X3){\unicdcdcdhd}(r5\_incsp\_1~X0~(k7\_domain\_1~\\
(u1\_incsp\_1~X0)~X1~X2)~X4)){\unicdbdjdcd}((r3\_incsp\_1~X0~X3~X4){\unicdcdcdid}(X1=X2)))))))\end{array}$$
\end{theorem}
\end{document}
