\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{t25\_toler\_1 (TMXyvaYLSDtLDYF2grkT81Amhhd2BGJxC7v)}
\maketitle
Let $ v1\_relat\_2 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v3\_relat\_2 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_partfun1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k3\_tarski : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k2\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k4\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ r2\_relset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  (m1\_subset\_1~X2~(k1\_zfmisc\_1~\\
(k2\_zfmisc\_1~X0~X1))){\unicdbdjdcd}({\unicdcdadad} X3 .  (m1\_subset\_1~X3~(k1\_zfmisc\_1~\\
(k2\_zfmisc\_1~X0~X1))){\unicdbdjdcd}((r2\_relset\_1~X0~X1~X2~X3){\unicdbdjded}({\unicdcdadad} X4 .  (\\
m1\_subset\_1~X4~X0){\unicdbdjdcd}({\unicdcdadad} X5 .  (m1\_subset\_1~X5~X1){\unicdbdjdcd}((k4\_tarski~\\
X4~X5 \in X2){\unicdbdjded}(k4\_tarski~X4~X5 \in X3))))))\end{array}
\label{hyp:egcdpfchfgmgdhfgehpfbd}
\end{equation}
\begin{theorem}\label{thm:ehcdfdpfehpgmgfgchpfbd}
$$\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  ((v1\_relat\_2~X1){\unicdcdcdhd}((v3\_relat\_2~X1){\unicdcdcdhd}((v1\_partfun1~\\
X1~(k3\_tarski~X0)){\unicdcdcdhd}(m1\_subset\_1~X1~(k1\_zfmisc\_1~(k2\_zfmisc\_1~\\
(k3\_tarski~X0)~(k3\_tarski~X0))))))){\unicdbdjdcd}({\unicdcdadad} X2 .  ((v1\_relat\_2~\\
X2){\unicdcdcdhd}((v3\_relat\_2~X2){\unicdcdcdhd}((v1\_partfun1~X2~(k3\_tarski~X0)){\unicdcdcdhd}(m1\_subset\_1~\\
X2~(k1\_zfmisc\_1~(k2\_zfmisc\_1~(k3\_tarski~X0)~(k3\_tarski~X0))))))){\unicdbdjdcd}\\
((({\unicdcdadad} X3 .  {\unicdcdadad} X4 .  (k4\_tarski~X3~X4 \in X1){\unicdbdjded}({\unicdcdaddd} X5 .  (X5 \in \\
X0){\unicdcdcdhd}((X3 \in X5){\unicdcdcdhd}(X4 \in X5)))){\unicdcdcdhd}({\unicdcdadad} X3 .  {\unicdcdadad} X4 .  (k4\_tarski~\\
X3~X4 \in X2){\unicdbdjded}({\unicdcdaddd} X5 .  (X5 \in X0){\unicdcdcdhd}((X3 \in X5){\unicdcdcdhd}(X4 \in X5))))){\unicdbdjdcd}(r2\_relset\_1~\\
(k3\_tarski~X0)~(k3\_tarski~X0)~X1~X2)))\end{array}$$
\end{theorem}
\end{document}
