\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{t21\_rearran1 (TMXELY3Yhd5oz3X5y63Zu6zXdQ1F6udC3G1)}
\maketitle
Let $ v1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_finset\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_funct\_1 : {{\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 $ k2\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k1\_numbers : {\iota}$ be given.
Let $ v1\_rearran1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v2\_rearran1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v3\_rearran1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ m2\_finseq\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ v1\_partfun1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k5\_card\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k1\_relset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k4\_rearran1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}}$ be given.
Let $ k3\_rearran1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}}$ be given.
Let $ m1\_finseq\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k2\_rearran1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k14\_rfunct\_3 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k16\_rfunct\_3 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k15\_rfunct\_3 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k3\_rfinseq : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k20\_rfunct\_3 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}(v1\_finset\_1~X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
((\preoh v1\_xboole\_0~X1){\unicdcdcdhd}(v1\_finset\_1~X1)){\unicdbdjdcd}({\unicdcdadad} X2 .  ((v1\_funct\_1~\\
X2){\unicdcdcdhd}(m1\_subset\_1~X2~(k1\_zfmisc\_1~(k2\_zfmisc\_1~X0~k1\_numbers)))){\unicdbdjdcd}\\
({\unicdcdadad} X3 .  ((v1\_rearran1~X3){\unicdcdcdhd}((v2\_rearran1~X3){\unicdcdcdhd}((v3\_rearran1~\\
X3~(k1\_zfmisc\_1~X1)){\unicdcdcdhd}(m2\_finseq\_1~X3~(k1\_zfmisc\_1~X1))))){\unicdbdjdcd}((\\
(v1\_partfun1~X2~X0){\unicdcdcdhd}(k5\_card\_1~X1=k5\_card\_1~X0)){\unicdbdjdcd}(k1\_relset\_1~\\
X1~(k3\_rearran1~X0~X1~X3~X2)=X1)))))\end{array}
\label{hyp:ehbdddpfchfgbgchchbgogbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{\unicdcdadad} X1 .  {{({{{m2\_finseq\_1}~{X1}}~{X0}})}{\unicdbdjded}{({{{m1\_finseq\_1}~{X1}}~{X0}})}}}}\label{hyp:chfgegfgggjgogjgehjgpgogpfngcdpfggjgogdhfgbhpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}(v1\_finset\_1~X0)){\unicdcdcdhd}\\
((v1\_rearran1~X1){\unicdcdcdhd}((v2\_rearran1~X1){\unicdcdcdhd}((v3\_rearran1~X1~(k1\_zfmisc\_1~\\
X0)){\unicdcdcdhd}(m1\_finseq\_1~X1~(k1\_zfmisc\_1~X0)))))){\unicdbdjdcd}((v1\_rearran1~(k2\_rearran1~\\
X0~X1)){\unicdcdcdhd}((v2\_rearran1~(k2\_rearran1~X0~X1)){\unicdcdcdhd}((v3\_rearran1~(k2\_rearran1~\\
X0~X1)~(k1\_zfmisc\_1~X0)){\unicdcdcdhd}(m2\_finseq\_1~(k2\_rearran1~X0~X1)~(k1\_zfmisc\_1~\\
X0)))))\end{array}
\label{hyp:egehpflgcdpfchfgbgchchbgogbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}(v1\_finset\_1~X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
((\preoh v1\_xboole\_0~X1){\unicdcdcdhd}(v1\_finset\_1~X1)){\unicdbdjdcd}({\unicdcdadad} X2 .  ((v1\_rearran1~\\
X2){\unicdcdcdhd}((v2\_rearran1~X2){\unicdcdcdhd}((v3\_rearran1~X2~(k1\_zfmisc\_1~X1)){\unicdcdcdhd}(m2\_finseq\_1~\\
X2~(k1\_zfmisc\_1~X1))))){\unicdbdjdcd}({\unicdcdadad} X3 .  ((v1\_funct\_1~X3){\unicdcdcdhd}(m1\_subset\_1~\\
X3~(k1\_zfmisc\_1~(k2\_zfmisc\_1~X0~k1\_numbers)))){\unicdbdjdcd}(k4\_rearran1~\\
X0~X1~X2~X3=k14\_rfunct\_3~X1~(k16\_rfunct\_3~X1~(k15\_rfunct\_3~X1~(k2\_rearran1~\\
X1~X2))~(k3\_rfinseq~(k20\_rfunct\_3~X0~X3~X0)))))))\end{array}
\label{hyp:eggdpfchfgbgchchbgogbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}(v1\_finset\_1~X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
((\preoh v1\_xboole\_0~X1){\unicdcdcdhd}(v1\_finset\_1~X1)){\unicdbdjdcd}({\unicdcdadad} X2 .  ((v1\_rearran1~\\
X2){\unicdcdcdhd}((v2\_rearran1~X2){\unicdcdcdhd}((v3\_rearran1~X2~(k1\_zfmisc\_1~X1)){\unicdcdcdhd}(m2\_finseq\_1~\\
X2~(k1\_zfmisc\_1~X1))))){\unicdbdjdcd}({\unicdcdadad} X3 .  ((v1\_funct\_1~X3){\unicdcdcdhd}(m1\_subset\_1~\\
X3~(k1\_zfmisc\_1~(k2\_zfmisc\_1~X0~k1\_numbers)))){\unicdbdjdcd}(k3\_rearran1~\\
X0~X1~X2~X3=k14\_rfunct\_3~X1~(k16\_rfunct\_3~X1~(k15\_rfunct\_3~X1~X2)~\\
(k3\_rfinseq~(k20\_rfunct\_3~X0~X3~X0)))))))\end{array}
\label{hyp:egfdpfchfgbgchchbgogbd}
\end{equation}
\begin{theorem}\label{thm:ehcdbdpfchfgbgchchbgogbd}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}(v1\_finset\_1~X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
((\preoh v1\_xboole\_0~X1){\unicdcdcdhd}(v1\_finset\_1~X1)){\unicdbdjdcd}({\unicdcdadad} X2 .  ((v1\_funct\_1~\\
X2){\unicdcdcdhd}(m1\_subset\_1~X2~(k1\_zfmisc\_1~(k2\_zfmisc\_1~X0~k1\_numbers)))){\unicdbdjdcd}\\
({\unicdcdadad} X3 .  ((v1\_rearran1~X3){\unicdcdcdhd}((v2\_rearran1~X3){\unicdcdcdhd}((v3\_rearran1~\\
X3~(k1\_zfmisc\_1~X1)){\unicdcdcdhd}(m2\_finseq\_1~X3~(k1\_zfmisc\_1~X1))))){\unicdbdjdcd}((\\
(v1\_partfun1~X2~X0){\unicdcdcdhd}(k5\_card\_1~X1=k5\_card\_1~X0)){\unicdbdjdcd}(k1\_relset\_1~\\
X1~(k4\_rearran1~X0~X1~X3~X2)=X1)))))\end{array}$$
\end{theorem}
\end{document}
