\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{t19\_pralg\_3 (TMHvhXrn14ErmwMqupipdTfA2691L4tGT3E)}
\maketitle
Let $ v2\_struct\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v11\_struct\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ l1\_msualg\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ m1\_pralg\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ u4\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k3\_msualg\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k14\_pralg\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k3\_funct\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}}$ be given.
Let $ k4\_msualg\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k5\_msualg\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k4\_card\_3 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k9\_pralg\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}}$ be given.
Let $ k2\_msualg\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ l3\_msualg\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k3\_relat\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k1\_msualg\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ u3\_msualg\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k9\_xtuple\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k1\_funct\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ v1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_relat\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v4\_relat\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ u1\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v1\_funct\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_partfun1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ m2\_pboole : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}}$ be given.
Let $ u1\_msualg\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k6\_finseq\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ u2\_msualg\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ g3\_msualg\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ v3\_msualg\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k10\_pralg\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ v2\_relat\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v4\_msualg\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ v1\_funct\_2 : {{\iota}{\unicdbdjdcd}{{\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 $ k10\_xtuple\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k13\_pralg\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ u4\_msualg\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v2\_struct\_0~X0){\unicdcdcdhd}((\preoh v11\_struct\_0~X0){\unicdcdcdhd}(l1\_msualg\_1~\\
X0))){\unicdbdjdcd}({\unicdcdadad} X1 .  (l3\_msualg\_1~X1~X0){\unicdbdjdcd}({\unicdcdadad} X2 .  (m1\_subset\_1~\\
X2~(u4\_struct\_0~X0)){\unicdbdjdcd}((k3\_msualg\_1~X0~X2~X1=k4\_card\_3~(k3\_relat\_1~\\
(k1\_msualg\_1~X0~X2)~(u3\_msualg\_1~X0~X1))){\unicdcdcdhd}((k9\_xtuple\_0~(k3\_relat\_1~\\
(k1\_msualg\_1~X0~X2)~(u3\_msualg\_1~X0~X1))=k9\_xtuple\_0~(k1\_msualg\_1~\\
X0~X2)){\unicdcdcdhd}(k4\_msualg\_1~X0~X2~X1=k1\_funct\_1~(u3\_msualg\_1~X0~X1)~(k2\_msualg\_1~\\
X0~X2))))))\end{array}
\label{hyp:ehddpfahchbgmghgpfcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (m1\_subset\_1~X0~X1){\unicdbdjdcd}((v1\_xboole\_0~X1){\unicdcdcdid}\\
(X0 \in X1))\end{array}
\label{hyp:ehcdpfdhfhcgdhfgeh}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  (((\preoh v2\_struct\_0~X0){\unicdcdcdhd}(l1\_msualg\_1~\\
X0)){\unicdcdcdhd}(((v1\_relat\_1~X1){\unicdcdcdhd}((v4\_relat\_1~X1~(u1\_struct\_0~X0)){\unicdcdcdhd}((\\
v1\_funct\_1~X1){\unicdcdcdhd}(v1\_partfun1~X1~(u1\_struct\_0~X0))))){\unicdcdcdhd}(m2\_pboole~\\
X2~(u4\_struct\_0~X0)~(k3\_relat\_1~(u1\_msualg\_1~X0)~(k6\_finseq\_2~\\
(u1\_struct\_0~X0)~X1))~(k3\_relat\_1~(u2\_msualg\_1~X0)~X1)))){\unicdbdjdcd}({\unicdcdadad} X3 .  \\
{\unicdcdadad} X4 .  {\unicdcdadad} X5 .  (g3\_msualg\_1~X0~X1~X2=g3\_msualg\_1~X3~X4~X5){\unicdbdjdcd}\\
((X0=X3){\unicdcdcdhd}((X1=X4){\unicdcdcdhd}(X2=X5))))\end{array}
\label{hyp:ggchfgfgpfhgddpfngdhfhbgmghgpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  (((\preoh v2\_struct\_0~X1){\unicdcdcdhd}((\preoh v11\_struct\_0~\\
X1){\unicdcdcdhd}(l1\_msualg\_1~X1))){\unicdcdcdhd}(m1\_pralg\_2~X2~X0~X1)){\unicdbdjdcd}(v3\_msualg\_1~(\\
k14\_pralg\_2~X0~X1~X2)~X1)\end{array}
\label{hyp:ggdghdpfahchbgmghgpfcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  (((\preoh v2\_struct\_0~X1){\unicdcdcdhd}(l1\_msualg\_1~\\
X1)){\unicdcdcdhd}(m1\_pralg\_2~X2~X0~X1)){\unicdbdjdcd}((v1\_relat\_1~(k10\_pralg\_2~X0~X1~X2)){\unicdcdcdhd}\\
((v2\_relat\_1~(k10\_pralg\_2~X0~X1~X2)){\unicdcdcdhd}((v4\_relat\_1~(k10\_pralg\_2~\\
X0~X1~X2)~(u1\_struct\_0~X1)){\unicdcdcdhd}((v1\_funct\_1~(k10\_pralg\_2~X0~X1~X2)){\unicdcdcdhd}\\
(v1\_partfun1~(k10\_pralg\_2~X0~X1~X2)~(u1\_struct\_0~X1))))))\end{array}
\label{hyp:ggdggdpfahchbgmghgpfcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  {\unicdcdadad} X3 .  (((\preoh v2\_struct\_0~\\
X1){\unicdcdcdhd}(l1\_msualg\_1~X1)){\unicdcdcdhd}((m1\_subset\_1~X2~(u1\_struct\_0~X1)){\unicdcdcdhd}(m1\_pralg\_2~\\
X3~X0~X1))){\unicdbdjdcd}((v1\_relat\_1~(k9\_pralg\_2~X0~X1~X2~X3)){\unicdcdcdhd}((v2\_relat\_1~\\
(k9\_pralg\_2~X0~X1~X2~X3)){\unicdcdcdhd}((v4\_relat\_1~(k9\_pralg\_2~X0~X1~X2~X3)~X0){\unicdcdcdhd}\\
((v1\_funct\_1~(k9\_pralg\_2~X0~X1~X2~X3)){\unicdcdcdhd}(v1\_partfun1~(k9\_pralg\_2~\\
X0~X1~X2~X3)~X0)))))\end{array}
\label{hyp:ggdgfdpfahchbgmghgpfcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_relat\_1~X0){\unicdcdcdhd}((v2\_relat\_1~X0){\unicdcdcdhd}(v1\_funct\_1~X0))){\unicdbdjdcd}\\
(\preoh v1\_xboole\_0~(k4\_card\_3~X0))\end{array}
\label{hyp:ggdgfdpfdgbgchegpfdd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  (((\preoh v2\_struct\_0~X1){\unicdcdcdhd}((\preoh v11\_struct\_0~\\
X1){\unicdcdcdhd}(l1\_msualg\_1~X1))){\unicdcdcdhd}(m1\_pralg\_2~X2~X0~X1)){\unicdbdjdcd}(v4\_msualg\_1~(\\
k14\_pralg\_2~X0~X1~X2)~X1)\end{array}
\label{hyp:ggdgbdpfahchbgmghgpfdd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  (((\preoh v2\_struct\_0~X0){\unicdcdcdhd}((\preoh v11\_struct\_0~\\
X0){\unicdcdcdhd}(l1\_msualg\_1~X0))){\unicdcdcdhd}((m1\_subset\_1~X1~(u4\_struct\_0~X0)){\unicdcdcdhd}(\\
l3\_msualg\_1~X2~X0))){\unicdbdjdcd}((v1\_funct\_1~(k5\_msualg\_1~X0~X1~X2)){\unicdcdcdhd}((v1\_funct\_2~\\
(k5\_msualg\_1~X0~X1~X2)~(k3\_msualg\_1~X0~X1~X2)~(k4\_msualg\_1~X0~X1~X2)){\unicdcdcdhd}\\
(m1\_subset\_1~(k5\_msualg\_1~X0~X1~X2)~(k1\_zfmisc\_1~(k2\_zfmisc\_1~\\
(k3\_msualg\_1~X0~X1~X2)~(k4\_msualg\_1~X0~X1~X2))))))\end{array}
\label{hyp:egehpflgfdpfngdhfhbgmghgpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  (((\preoh v2\_struct\_0~X0){\unicdcdcdhd}((\preoh v11\_struct\_0~\\
X0){\unicdcdcdhd}(l1\_msualg\_1~X0))){\unicdcdcdhd}((m1\_subset\_1~X1~(u4\_struct\_0~X0)){\unicdcdcdhd}(\\
l3\_msualg\_1~X2~X0))){\unicdbdjdcd}(m1\_subset\_1~(k3\_msualg\_1~X0~X1~X2)~(k10\_xtuple\_0~\\
(k6\_finseq\_2~(u1\_struct\_0~X0)~(u3\_msualg\_1~X0~X2))))\end{array}
\label{hyp:egehpflgddpfngdhfhbgmghgpfbd}
\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\_funct\_1~X2){\unicdcdcdhd}((v1\_funct\_2~X2~X0~X1){\unicdcdcdhd}(m1\_subset\_1~X2~(k1\_zfmisc\_1~\\
(k2\_zfmisc\_1~X0~X1))))){\unicdcdcdhd}(m1\_subset\_1~X3~X0))){\unicdbdjdcd}(m1\_subset\_1~(\\
k3\_funct\_2~X0~X1~X2~X3)~X1)\end{array}
\label{hyp:egehpflgddpfggfhogdgehpfcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (((\preoh v2\_struct\_0~X0){\unicdcdcdhd}((\preoh v11\_struct\_0~X0){\unicdcdcdhd}\\
(l1\_msualg\_1~X0))){\unicdcdcdhd}(m1\_subset\_1~X1~(u4\_struct\_0~X0))){\unicdbdjdcd}(m1\_subset\_1~\\
(k2\_msualg\_1~X0~X1)~(u1\_struct\_0~X0))\end{array}
\label{hyp:egehpflgcdpfngdhfhbgmghgpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  (((\preoh v2\_struct\_0~X1){\unicdcdcdhd}((\preoh v11\_struct\_0~\\
X1){\unicdcdcdhd}(l1\_msualg\_1~X1))){\unicdcdcdhd}(m1\_pralg\_2~X2~X0~X1)){\unicdbdjdcd}(l3\_msualg\_1~(\\
k14\_pralg\_2~X0~X1~X2)~X1)\end{array}
\label{hyp:egehpflgbdedpfahchbgmghgpfcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  (((\preoh v2\_struct\_0~X1){\unicdcdcdhd}((\preoh v11\_struct\_0~\\
X1){\unicdcdcdhd}(l1\_msualg\_1~X1))){\unicdcdcdhd}(m1\_pralg\_2~X2~X0~X1)){\unicdbdjdcd}(m2\_pboole~(k13\_pralg\_2~\\
X0~X1~X2)~(u4\_struct\_0~X1)~(k3\_relat\_1~(u1\_msualg\_1~X1)~(k6\_finseq\_2~\\
(u1\_struct\_0~X1)~(k10\_pralg\_2~X0~X1~X2)))~(k3\_relat\_1~(u2\_msualg\_1~\\
X1)~(k10\_pralg\_2~X0~X1~X2)))\end{array}
\label{hyp:egehpflgbdddpfahchbgmghgpfcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  ((\preoh v2\_struct\_0~X1){\unicdcdcdhd}((\preoh v11\_struct\_0~X1){\unicdcdcdhd}\\
(l1\_msualg\_1~X1))){\unicdbdjdcd}({\unicdcdadad} X2 .  (m1\_pralg\_2~X2~X0~X1){\unicdbdjdcd}(k14\_pralg\_2~\\
X0~X1~X2=g3\_msualg\_1~X1~(k10\_pralg\_2~X0~X1~X2)~(k13\_pralg\_2~X0~X1~\\
X2)))\end{array}
\label{hyp:egbdedpfahchbgmghgpfcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  ((\preoh v2\_struct\_0~X1){\unicdcdcdhd}(l1\_msualg\_1~X1)){\unicdbdjdcd}\\
({\unicdcdadad} X2 .  (m1\_pralg\_2~X2~X0~X1){\unicdbdjdcd}({\unicdcdadad} X3 .  ((v1\_relat\_1~X3){\unicdcdcdhd}\\
((v4\_relat\_1~X3~(u1\_struct\_0~X1)){\unicdcdcdhd}((v1\_funct\_1~X3){\unicdcdcdhd}(v1\_partfun1~\\
X3~(u1\_struct\_0~X1))))){\unicdbdjdcd}((X3=k10\_pralg\_2~X0~X1~X2){\unicdbdjded}({\unicdcdadad} X4 .  \\
(m1\_subset\_1~X4~(u1\_struct\_0~X1)){\unicdbdjdcd}(k1\_funct\_1~X3~X4=k4\_card\_3~\\
(k9\_pralg\_2~X0~X1~X4~X2))))))\end{array}
\label{hyp:egbdadpfahchbgmghgpfcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (((\preoh v2\_struct\_0~X0){\unicdcdcdhd}(l1\_msualg\_1~X0)){\unicdcdcdhd}\\
((v4\_msualg\_1~X1~X0){\unicdcdcdhd}(l3\_msualg\_1~X1~X0))){\unicdbdjdcd}({\unicdcdadad} X2 .  (m1\_subset\_1~\\
X2~(k10\_xtuple\_0~(k6\_finseq\_2~(u1\_struct\_0~X0)~(u3\_msualg\_1~X0~\\
X1)))){\unicdbdjdcd}(\preoh v1\_xboole\_0~X2))\end{array}
\label{hyp:dgdgcdpfngdhfhbgmghgpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (((\preoh v2\_struct\_0~X0){\unicdcdcdhd}(l1\_msualg\_1~X0)){\unicdcdcdhd}\\
(l3\_msualg\_1~X1~X0)){\unicdbdjdcd}((v3\_msualg\_1~X1~X0){\unicdbdjdcd}(X1=g3\_msualg\_1~X0~\\
(u3\_msualg\_1~X0~X1)~(u4\_msualg\_1~X0~X1)))\end{array}
\label{hyp:bgcgdhehchbgdgehogfgdhdhpfghddpfngdhfhbgmghgpfbd}
\end{equation}
\begin{theorem}\label{thm:ehbdjdpfahchbgmghgpfdd}
$$\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  ((\preoh v2\_struct\_0~X1){\unicdcdcdhd}((\preoh v11\_struct\_0~X1){\unicdcdcdhd}\\
(l1\_msualg\_1~X1))){\unicdbdjdcd}({\unicdcdadad} X2 .  (m1\_pralg\_2~X2~X0~X1){\unicdbdjdcd}({\unicdcdadad} X3 .  \\
(m1\_subset\_1~X3~(u4\_struct\_0~X1)){\unicdbdjdcd}({\unicdcdadad} X4 .  (m1\_subset\_1~X4~\\
(k3\_msualg\_1~X1~X3~(k14\_pralg\_2~X0~X1~X2))){\unicdbdjdcd}(k3\_funct\_2~(k3\_msualg\_1~\\
X1~X3~(k14\_pralg\_2~X0~X1~X2))~(k4\_msualg\_1~X1~X3~(k14\_pralg\_2~X0~X1~\\
X2))~(k5\_msualg\_1~X1~X3~(k14\_pralg\_2~X0~X1~X2))~X4 \in k4\_card\_3~(k9\_pralg\_2~\\
X0~X1~(k2\_msualg\_1~X1~X3)~X2)))))\end{array}$$
\end{theorem}
\end{document}
