\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{t103\_rewrite3 (TMZHfhNGK9QmgvmkbntpMiXKVpwJhncPKD7)}
\maketitle
Let $ v1\_xboole\_0 : {{\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 $ k8\_afinsq\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v2\_struct\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ l1\_rewrite3 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ u1\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k3\_rewrite3 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}}}$ be given.
Let $ r4\_rewrite3 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v1\_xboole\_0~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~X1~(k1\_zfmisc\_1~\\
(k8\_afinsq\_1~X0))){\unicdbdjdcd}({\unicdcdadad} X2 .  ((\preoh v2\_struct\_0~X2){\unicdcdcdhd}(l1\_rewrite3~\\
X2~X1)){\unicdbdjdcd}({\unicdcdadad} X3 .  {\unicdcdadad} X4 .  k3\_rewrite3~X0~X1~X2~X3~X4=ReplSep~\\
(toset~({\uniddcgcg} X5 : \iota .  m1\_subset\_1~X5~(u1\_struct\_0~X2)))~({\uniddcgcg} X5 : \\
\iota .  {\unicdcdaddd} X6 .  (m1\_subset\_1~X6~(u1\_struct\_0~X2)){\unicdcdcdhd}((X6 \in X4){\unicdcdcdhd}(\\
r4\_rewrite3~X0~X1~X2~X6~X3~X5)))~({\uniddcgcg} X5 : \iota .  X5))))\end{array}
\label{hyp:egidpfchfghhchjgehfgdd}
\end{equation}
\begin{theorem}\label{thm:ehbdadddpfchfghhchjgehfgdd}
$$\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  (\preoh v1\_xboole\_0~X2){\unicdbdjdcd}({\unicdcdadad} X3 .  \\
(m1\_subset\_1~X3~(k1\_zfmisc\_1~(k8\_afinsq\_1~X2))){\unicdbdjdcd}({\unicdcdadad} X4 .  \\
((\preoh v2\_struct\_0~X4){\unicdcdcdhd}(l1\_rewrite3~X4~X3)){\unicdbdjdcd}({\unicdcdadad} X5 .  (m1\_subset\_1~\\
X5~(u1\_struct\_0~X4)){\unicdbdjdcd}((X5 \in k3\_rewrite3~X2~X3~X4~X0~X1){\unicdbdjded}({\unicdcdaddd} X6 .  \\
(m1\_subset\_1~X6~(u1\_struct\_0~X4)){\unicdcdcdhd}((X6 \in X1){\unicdcdcdhd}(r4\_rewrite3~X2~X3~\\
X4~X6~X0~X5)))))))\end{array}$$
\end{theorem}
\end{document}
