\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{t28\_rearran1 (TMKV2sBBZtEzDeUC2188qVxCdAEcrs1rzPt)}
\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 $ r2\_classes1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ 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 $ k20\_rfunct\_3 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k21\_rfunct\_3 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ v1\_relat\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ m1\_finseq\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ v1\_finseq\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k5\_numbers : {\iota}$ be given.
Let $ v8\_valued\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_relat\_1~X0){\unicdcdcdhd}(v1\_funct\_1~X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  ((\\
v1\_relat\_1~X1){\unicdcdcdhd}(v1\_funct\_1~X1)){\unicdbdjdcd}({\unicdcdadad} X2 .  ((v1\_relat\_1~X2){\unicdcdcdhd}\\
(v1\_funct\_1~X2)){\unicdbdjdcd}(((r2\_classes1~X0~X1){\unicdcdcdhd}(r2\_classes1~X0~X2)){\unicdbdjdcd}\\
(r2\_classes1~X1~X2))))\end{array}
\label{hyp:ehhdgdpfdgmgbgdhdhfgdhbd}
\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\_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}(k21\_rfunct\_3~\\
X1~(k4\_rearran1~X0~X1~X3~X2)~X1=k21\_rfunct\_3~X0~X2~X0)))))\end{array}
\label{hyp:ehcdgdpfchfgbgchchbgogbd}
\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\_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}(k20\_rfunct\_3~\\
X1~(k4\_rearran1~X0~X1~X3~X2)~X1=k20\_rfunct\_3~X0~X2~X0)))))\end{array}
\label{hyp:ehcdfdpfchfgbgchchbgogbd}
\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\_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}(r2\_classes1~\\
(k4\_rearran1~X0~X1~X3~X2)~(k20\_rfunct\_3~X0~X2~X0))))))\end{array}
\label{hyp:ehcdedpfchfgbgchchbgogbd}
\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\_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}(k21\_rfunct\_3~\\
X1~(k3\_rearran1~X0~X1~X3~X2)~X1=k21\_rfunct\_3~X0~X2~X0)))))\end{array}
\label{hyp:ehbdjdpfchfgbgchchbgogbd}
\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\_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}(k20\_rfunct\_3~\\
X1~(k3\_rearran1~X0~X1~X3~X2)~X1=k20\_rfunct\_3~X0~X2~X0)))))\end{array}
\label{hyp:ehbdidpfchfgbgchchbgogbd}
\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\_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}(r2\_classes1~\\
(k3\_rearran1~X0~X1~X3~X2)~(k20\_rfunct\_3~X0~X2~X0))))))\end{array}
\label{hyp:ehbdhdpfchfgbgchchbgogbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  ((v1\_relat\_1~X0){\unicdcdcdhd}(v1\_relat\_1~X1)){\unicdbdjdcd}((r2\_classes1~\\
X0~X1){\unicdbdjdcd}(r2\_classes1~X1~X0))\end{array}
\label{hyp:dhjhngngfgehchjhpfchcdpfdgmgbgdhdhfgdhbd}
\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 .  (m2\_finseq\_1~X1~X0){\unicdbdjdcd}((v1\_funct\_1~X1){\unicdcdcdhd}(\\
(v1\_finseq\_1~X1){\unicdcdcdhd}(m1\_subset\_1~X1~(k1\_zfmisc\_1~(k2\_zfmisc\_1~k5\_numbers~\\
X0)))))\end{array}
\label{hyp:egehpfngcdpfggjgogdhfgbhpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  {\unicdcdadad} X3 .  (((\preoh v1\_xboole\_0~\\
X0){\unicdcdcdhd}(v1\_finset\_1~X0)){\unicdcdcdhd}(((\preoh v1\_xboole\_0~X1){\unicdcdcdhd}(v1\_finset\_1~X1)){\unicdcdcdhd}\\
(((v1\_rearran1~X2){\unicdcdcdhd}((v2\_rearran1~X2){\unicdcdcdhd}((v3\_rearran1~X2~(k1\_zfmisc\_1~\\
X1)){\unicdcdcdhd}(m1\_finseq\_1~X2~(k1\_zfmisc\_1~X1))))){\unicdcdcdhd}((v1\_funct\_1~X3){\unicdcdcdhd}\\
(m1\_subset\_1~X3~(k1\_zfmisc\_1~(k2\_zfmisc\_1~X0~k1\_numbers))))))){\unicdbdjdcd}\\
((v1\_funct\_1~(k4\_rearran1~X0~X1~X2~X3)){\unicdcdcdhd}(m1\_subset\_1~(k4\_rearran1~\\
X0~X1~X2~X3)~(k1\_zfmisc\_1~(k2\_zfmisc\_1~X1~k1\_numbers))))\end{array}
\label{hyp:egehpflgedpfchfgbgchchbgogbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  {\unicdcdadad} X3 .  (((\preoh v1\_xboole\_0~\\
X0){\unicdcdcdhd}(v1\_finset\_1~X0)){\unicdcdcdhd}(((\preoh v1\_xboole\_0~X1){\unicdcdcdhd}(v1\_finset\_1~X1)){\unicdcdcdhd}\\
(((v1\_rearran1~X2){\unicdcdcdhd}((v2\_rearran1~X2){\unicdcdcdhd}((v3\_rearran1~X2~(k1\_zfmisc\_1~\\
X1)){\unicdcdcdhd}(m1\_finseq\_1~X2~(k1\_zfmisc\_1~X1))))){\unicdcdcdhd}((v1\_funct\_1~X3){\unicdcdcdhd}\\
(m1\_subset\_1~X3~(k1\_zfmisc\_1~(k2\_zfmisc\_1~X0~k1\_numbers))))))){\unicdbdjdcd}\\
((v1\_funct\_1~(k3\_rearran1~X0~X1~X2~X3)){\unicdcdcdhd}(m1\_subset\_1~(k3\_rearran1~\\
X0~X1~X2~X3)~(k1\_zfmisc\_1~(k2\_zfmisc\_1~X1~k1\_numbers))))\end{array}
\label{hyp:egehpflgddpfchfgbgchchbgogbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  ((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}((v1\_funct\_1~\\
X1){\unicdcdcdhd}(m1\_subset\_1~X1~(k1\_zfmisc\_1~(k2\_zfmisc\_1~X0~k1\_numbers))))){\unicdbdjdcd}\\
((v8\_valued\_0~(k20\_rfunct\_3~X0~X1~X2)){\unicdcdcdhd}(m2\_finseq\_1~(k20\_rfunct\_3~\\
X0~X1~X2)~k1\_numbers))\end{array}
\label{hyp:egehpflgcdadpfchggfhogdgehpfdd}
\end{equation}
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}(v1\_relat\_1~X2)\end{array}
\label{hyp:dgdgbdpfchfgmgdhfgehpfbd}
\end{equation}
\begin{theorem}\label{thm:ehcdidpfchfgbgchchbgogbd}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}(v1\_finset\_1~X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
((\preoh v1\_xboole\_0~X1){\unicdcdcdhd}(v1\_finset\_1~X1)){\unicdbdjdcd}({\unicdcdadad} X2 .  ((v1\_funct\_1~\\
X2){\unicdcdcdhd}(m1\_subset\_1~X2~(k1\_zfmisc\_1~(k2\_zfmisc\_1~X0~k1\_numbers)))){\unicdbdjdcd}\\
({\unicdcdadad} X3 .  ((v1\_rearran1~X3){\unicdcdcdhd}((v2\_rearran1~X3){\unicdcdcdhd}((v3\_rearran1~\\
X3~(k1\_zfmisc\_1~X1)){\unicdcdcdhd}(m2\_finseq\_1~X3~(k1\_zfmisc\_1~X1))))){\unicdbdjdcd}((\\
(v1\_partfun1~X2~X0){\unicdcdcdhd}(k5\_card\_1~X1=k5\_card\_1~X0)){\unicdbdjdcd}((r2\_classes1~\\
(k4\_rearran1~X0~X1~X3~X2)~(k3\_rearran1~X0~X1~X3~X2)){\unicdcdcdhd}((k20\_rfunct\_3~\\
X1~(k4\_rearran1~X0~X1~X3~X2)~X1=k20\_rfunct\_3~X1~(k3\_rearran1~X0~X1~\\
X3~X2)~X1){\unicdcdcdhd}(k21\_rfunct\_3~X1~(k4\_rearran1~X0~X1~X3~X2)~X1=k21\_rfunct\_3~\\
X1~(k3\_rearran1~X0~X1~X3~X2)~X1)))))))\end{array}$$
\end{theorem}
\end{document}
