\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{t14\_mod\_2 (TMFjqqyoqXKEhSHxRWWRvhTqemQkx9MvfpP)}
\maketitle
Let $ v2\_struct\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v13\_algstr\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v3\_group\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v4\_vectsp\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v5\_vectsp\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v2\_rlvect\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v3\_rlvect\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v4\_rlvect\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ l6\_algstr\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v2\_mod\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ v3\_mod\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ l1\_mod\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k2\_mod\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k3\_mod\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ v8\_vectsp\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ v9\_vectsp\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ v10\_vectsp\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ v11\_vectsp\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ l1\_vectsp\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ v1\_funct\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_funct\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ u1\_struct\_0 : {{\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 $ g1\_mod\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}}$ be given.
Let $ k8\_mod\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k1\_partfun1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}}}}$ be given.
Let $ u3\_mod\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ u1\_mod\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ u2\_mod\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (((\preoh v2\_struct\_0~X0){\unicdcdcdhd}((v13\_algstr\_0~X0){\unicdcdcdhd}\\
((v3\_group\_1~X0){\unicdcdcdhd}((v4\_vectsp\_1~X0){\unicdcdcdhd}((v5\_vectsp\_1~X0){\unicdcdcdhd}((v2\_rlvect\_1~\\
X0){\unicdcdcdhd}((v3\_rlvect\_1~X0){\unicdcdcdhd}((v4\_rlvect\_1~X0){\unicdcdcdhd}(l6\_algstr\_0~X0))))))))){\unicdcdcdhd}\\
(l1\_mod\_2~X1~X0)){\unicdbdjdcd}((v1\_funct\_1~(u3\_mod\_2~X0~X1)){\unicdcdcdhd}((v1\_funct\_2~\\
(u3\_mod\_2~X0~X1)~(u1\_struct\_0~(u1\_mod\_2~X0~X1))~(u1\_struct\_0~(u2\_mod\_2~\\
X0~X1))){\unicdcdcdhd}(m1\_subset\_1~(u3\_mod\_2~X0~X1)~(k1\_zfmisc\_1~(k2\_zfmisc\_1~\\
(u1\_struct\_0~(u1\_mod\_2~X0~X1))~(u1\_struct\_0~(u2\_mod\_2~X0~X1)))))))\end{array}
\label{hyp:egehpffhddpfngpgegpfcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  (((\preoh v2\_struct\_0~X0){\unicdcdcdhd}((v13\_algstr\_0~\\
X0){\unicdcdcdhd}((v3\_group\_1~X0){\unicdcdcdhd}((v4\_vectsp\_1~X0){\unicdcdcdhd}((v5\_vectsp\_1~X0){\unicdcdcdhd}(\\
(v2\_rlvect\_1~X0){\unicdcdcdhd}((v3\_rlvect\_1~X0){\unicdcdcdhd}((v4\_rlvect\_1~X0){\unicdcdcdhd}(l6\_algstr\_0~\\
X0))))))))){\unicdcdcdhd}(((v3\_mod\_2~X1~X0){\unicdcdcdhd}(l1\_mod\_2~X1~X0)){\unicdcdcdhd}((v3\_mod\_2~\\
X2~X0){\unicdcdcdhd}(l1\_mod\_2~X2~X0)))){\unicdbdjdcd}((v2\_mod\_2~(k8\_mod\_2~X0~X1~X2)~X0){\unicdcdcdhd}(\\
(v3\_mod\_2~(k8\_mod\_2~X0~X1~X2)~X0){\unicdcdcdhd}(l1\_mod\_2~(k8\_mod\_2~X0~X1~X2)~X0)))\end{array}
\label{hyp:egehpflgidpfngpgegpfcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (((\preoh v2\_struct\_0~X0){\unicdcdcdhd}((v13\_algstr\_0~X0){\unicdcdcdhd}\\
((v3\_group\_1~X0){\unicdcdcdhd}((v4\_vectsp\_1~X0){\unicdcdcdhd}((v5\_vectsp\_1~X0){\unicdcdcdhd}((v2\_rlvect\_1~\\
X0){\unicdcdcdhd}((v3\_rlvect\_1~X0){\unicdcdcdhd}((v4\_rlvect\_1~X0){\unicdcdcdhd}(l6\_algstr\_0~X0))))))))){\unicdcdcdhd}\\
(l1\_mod\_2~X1~X0)){\unicdbdjdcd}((\preoh v2\_struct\_0~(k3\_mod\_2~X0~X1)){\unicdcdcdhd}((v13\_algstr\_0~\\
(k3\_mod\_2~X0~X1)){\unicdcdcdhd}((v8\_vectsp\_1~(k3\_mod\_2~X0~X1)~X0){\unicdcdcdhd}((v9\_vectsp\_1~\\
(k3\_mod\_2~X0~X1)~X0){\unicdcdcdhd}((v10\_vectsp\_1~(k3\_mod\_2~X0~X1)~X0){\unicdcdcdhd}((v11\_vectsp\_1~\\
(k3\_mod\_2~X0~X1)~X0){\unicdcdcdhd}((v2\_rlvect\_1~(k3\_mod\_2~X0~X1)){\unicdcdcdhd}((v3\_rlvect\_1~\\
(k3\_mod\_2~X0~X1)){\unicdcdcdhd}((v4\_rlvect\_1~(k3\_mod\_2~X0~X1)){\unicdcdcdhd}(l1\_vectsp\_1~\\
(k3\_mod\_2~X0~X1)~X0))))))))))\end{array}
\label{hyp:egehpflgddpfngpgegpfcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (((\preoh v2\_struct\_0~X0){\unicdcdcdhd}((v13\_algstr\_0~X0){\unicdcdcdhd}\\
((v3\_group\_1~X0){\unicdcdcdhd}((v4\_vectsp\_1~X0){\unicdcdcdhd}((v5\_vectsp\_1~X0){\unicdcdcdhd}((v2\_rlvect\_1~\\
X0){\unicdcdcdhd}((v3\_rlvect\_1~X0){\unicdcdcdhd}((v4\_rlvect\_1~X0){\unicdcdcdhd}(l6\_algstr\_0~X0))))))))){\unicdcdcdhd}\\
(l1\_mod\_2~X1~X0)){\unicdbdjdcd}((\preoh v2\_struct\_0~(k2\_mod\_2~X0~X1)){\unicdcdcdhd}((v13\_algstr\_0~\\
(k2\_mod\_2~X0~X1)){\unicdcdcdhd}((v8\_vectsp\_1~(k2\_mod\_2~X0~X1)~X0){\unicdcdcdhd}((v9\_vectsp\_1~\\
(k2\_mod\_2~X0~X1)~X0){\unicdcdcdhd}((v10\_vectsp\_1~(k2\_mod\_2~X0~X1)~X0){\unicdcdcdhd}((v11\_vectsp\_1~\\
(k2\_mod\_2~X0~X1)~X0){\unicdcdcdhd}((v2\_rlvect\_1~(k2\_mod\_2~X0~X1)){\unicdcdcdhd}((v3\_rlvect\_1~\\
(k2\_mod\_2~X0~X1)){\unicdcdcdhd}((v4\_rlvect\_1~(k2\_mod\_2~X0~X1)){\unicdcdcdhd}(l1\_vectsp\_1~\\
(k2\_mod\_2~X0~X1)~X0))))))))))\end{array}
\label{hyp:egehpflgcdpfngpgegpfcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v2\_struct\_0~X0){\unicdcdcdhd}((v13\_algstr\_0~X0){\unicdcdcdhd}((v3\_group\_1~\\
X0){\unicdcdcdhd}((v4\_vectsp\_1~X0){\unicdcdcdhd}((v5\_vectsp\_1~X0){\unicdcdcdhd}((v2\_rlvect\_1~X0){\unicdcdcdhd}\\
((v3\_rlvect\_1~X0){\unicdcdcdhd}((v4\_rlvect\_1~X0){\unicdcdcdhd}(l6\_algstr\_0~X0))))))))){\unicdbdjdcd}\\
({\unicdcdadad} X1 .  (l1\_mod\_2~X1~X0){\unicdbdjdcd}(k3\_mod\_2~X0~X1=u2\_mod\_2~X0~X1))\end{array}
\label{hyp:egedpfngpgegpfcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v2\_struct\_0~X0){\unicdcdcdhd}((v13\_algstr\_0~X0){\unicdcdcdhd}((v3\_group\_1~\\
X0){\unicdcdcdhd}((v4\_vectsp\_1~X0){\unicdcdcdhd}((v5\_vectsp\_1~X0){\unicdcdcdhd}((v2\_rlvect\_1~X0){\unicdcdcdhd}\\
((v3\_rlvect\_1~X0){\unicdcdcdhd}((v4\_rlvect\_1~X0){\unicdcdcdhd}(l6\_algstr\_0~X0))))))))){\unicdbdjdcd}\\
({\unicdcdadad} X1 .  (l1\_mod\_2~X1~X0){\unicdbdjdcd}(k2\_mod\_2~X0~X1=u1\_mod\_2~X0~X1))\end{array}
\label{hyp:egddpfngpgegpfcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v2\_struct\_0~X0){\unicdcdcdhd}((v13\_algstr\_0~X0){\unicdcdcdhd}((v3\_group\_1~\\
X0){\unicdcdcdhd}((v4\_vectsp\_1~X0){\unicdcdcdhd}((v5\_vectsp\_1~X0){\unicdcdcdhd}((v2\_rlvect\_1~X0){\unicdcdcdhd}\\
((v3\_rlvect\_1~X0){\unicdcdcdhd}((v4\_rlvect\_1~X0){\unicdcdcdhd}(l6\_algstr\_0~X0))))))))){\unicdbdjdcd}\\
({\unicdcdadad} X1 .  ((v3\_mod\_2~X1~X0){\unicdcdcdhd}(l1\_mod\_2~X1~X0)){\unicdbdjdcd}({\unicdcdadad} X2 .  (\\
(v3\_mod\_2~X2~X0){\unicdcdcdhd}(l1\_mod\_2~X2~X0)){\unicdbdjdcd}((k2\_mod\_2~X0~X1=k3\_mod\_2~X0~\\
X2){\unicdbdjdcd}({\unicdcdadad} X3 .  ((v2\_mod\_2~X3~X0){\unicdcdcdhd}((v3\_mod\_2~X3~X0){\unicdcdcdhd}(l1\_mod\_2~\\
X3~X0))){\unicdbdjdcd}((X3=k8\_mod\_2~X0~X1~X2){\unicdbdjded}({\unicdcdadad} X4 .  ((\preoh v2\_struct\_0~X4){\unicdcdcdhd}\\
((v13\_algstr\_0~X4){\unicdcdcdhd}((v8\_vectsp\_1~X4~X0){\unicdcdcdhd}((v9\_vectsp\_1~X4~X0){\unicdcdcdhd}\\
((v10\_vectsp\_1~X4~X0){\unicdcdcdhd}((v11\_vectsp\_1~X4~X0){\unicdcdcdhd}((v2\_rlvect\_1~X4){\unicdcdcdhd}\\
((v3\_rlvect\_1~X4){\unicdcdcdhd}((v4\_rlvect\_1~X4){\unicdcdcdhd}(l1\_vectsp\_1~X4~X0)))))))))){\unicdbdjdcd}\\
({\unicdcdadad} X5 .  ((\preoh v2\_struct\_0~X5){\unicdcdcdhd}((v13\_algstr\_0~X5){\unicdcdcdhd}((v8\_vectsp\_1~\\
X5~X0){\unicdcdcdhd}((v9\_vectsp\_1~X5~X0){\unicdcdcdhd}((v10\_vectsp\_1~X5~X0){\unicdcdcdhd}((v11\_vectsp\_1~\\
X5~X0){\unicdcdcdhd}((v2\_rlvect\_1~X5){\unicdcdcdhd}((v3\_rlvect\_1~X5){\unicdcdcdhd}((v4\_rlvect\_1~X5){\unicdcdcdhd}\\
(l1\_vectsp\_1~X5~X0)))))))))){\unicdbdjdcd}({\unicdcdadad} X6 .  ((\preoh v2\_struct\_0~X6){\unicdcdcdhd}\\
((v13\_algstr\_0~X6){\unicdcdcdhd}((v8\_vectsp\_1~X6~X0){\unicdcdcdhd}((v9\_vectsp\_1~X6~X0){\unicdcdcdhd}\\
((v10\_vectsp\_1~X6~X0){\unicdcdcdhd}((v11\_vectsp\_1~X6~X0){\unicdcdcdhd}((v2\_rlvect\_1~X6){\unicdcdcdhd}\\
((v3\_rlvect\_1~X6){\unicdcdcdhd}((v4\_rlvect\_1~X6){\unicdcdcdhd}(l1\_vectsp\_1~X6~X0)))))))))){\unicdbdjdcd}\\
({\unicdcdadad} X7 .  ((v1\_funct\_1~X7){\unicdcdcdhd}((v1\_funct\_2~X7~(u1\_struct\_0~X5)~\\
(u1\_struct\_0~X6)){\unicdcdcdhd}(m1\_subset\_1~X7~(k1\_zfmisc\_1~(k2\_zfmisc\_1~\\
(u1\_struct\_0~X5)~(u1\_struct\_0~X6)))))){\unicdbdjdcd}({\unicdcdadad} X8 .  ((v1\_funct\_1~\\
X8){\unicdcdcdhd}((v1\_funct\_2~X8~(u1\_struct\_0~X4)~(u1\_struct\_0~X5)){\unicdcdcdhd}(m1\_subset\_1~\\
X8~(k1\_zfmisc\_1~(k2\_zfmisc\_1~(u1\_struct\_0~X4)~(u1\_struct\_0~X5)))))){\unicdbdjdcd}\\
(((g1\_mod\_2~X0~(u1\_mod\_2~X0~X1)~(u2\_mod\_2~X0~X1)~(u3\_mod\_2~X0~X1)=\\
g1\_mod\_2~X0~X5~X6~X7){\unicdcdcdhd}(g1\_mod\_2~X0~(u1\_mod\_2~X0~X2)~(u2\_mod\_2~X0~X2)~\\
(u3\_mod\_2~X0~X2)=g1\_mod\_2~X0~X4~X5~X8)){\unicdbdjdcd}(X3=g1\_mod\_2~X0~X4~X6~(k1\_partfun1~\\
(u1\_struct\_0~X4)~(u1\_struct\_0~X5)~(u1\_struct\_0~X5)~(u1\_struct\_0~\\
X6)~X8~X7)))))))))))))\end{array}
\label{hyp:egbdadpfngpgegpfcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (((\preoh v2\_struct\_0~X0){\unicdcdcdhd}((v13\_algstr\_0~X0){\unicdcdcdhd}\\
((v3\_group\_1~X0){\unicdcdcdhd}((v4\_vectsp\_1~X0){\unicdcdcdhd}((v5\_vectsp\_1~X0){\unicdcdcdhd}((v2\_rlvect\_1~\\
X0){\unicdcdcdhd}((v3\_rlvect\_1~X0){\unicdcdcdhd}((v4\_rlvect\_1~X0){\unicdcdcdhd}(l6\_algstr\_0~X0))))))))){\unicdcdcdhd}\\
(l1\_mod\_2~X1~X0)){\unicdbdjdcd}((v2\_mod\_2~X1~X0){\unicdbdjdcd}(X1=g1\_mod\_2~X0~(u1\_mod\_2~\\
X0~X1)~(u2\_mod\_2~X0~X1)~(u3\_mod\_2~X0~X1)))\end{array}
\label{hyp:bgcgdhehchbgdgehogfgdhdhpfghcdpfngpgegpfcd}
\end{equation}
\begin{theorem}\label{thm:ehbdedpfngpgegpfcd}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v2\_struct\_0~X0){\unicdcdcdhd}((v13\_algstr\_0~X0){\unicdcdcdhd}((v3\_group\_1~\\
X0){\unicdcdcdhd}((v4\_vectsp\_1~X0){\unicdcdcdhd}((v5\_vectsp\_1~X0){\unicdcdcdhd}((v2\_rlvect\_1~X0){\unicdcdcdhd}\\
((v3\_rlvect\_1~X0){\unicdcdcdhd}((v4\_rlvect\_1~X0){\unicdcdcdhd}(l6\_algstr\_0~X0))))))))){\unicdbdjdcd}\\
({\unicdcdadad} X1 .  ((v2\_mod\_2~X1~X0){\unicdcdcdhd}((v3\_mod\_2~X1~X0){\unicdcdcdhd}(l1\_mod\_2~X1~X0))){\unicdbdjdcd}\\
({\unicdcdadad} X2 .  ((v2\_mod\_2~X2~X0){\unicdcdcdhd}((v3\_mod\_2~X2~X0){\unicdcdcdhd}(l1\_mod\_2~X2~X0))){\unicdbdjdcd}\\
(\preoh (k2\_mod\_2~X0~X2=k3\_mod\_2~X0~X1){\unicdcdcdhd}({\unicdcdadad} X3 .  ((\preoh v2\_struct\_0~\\
X3){\unicdcdcdhd}((v13\_algstr\_0~X3){\unicdcdcdhd}((v8\_vectsp\_1~X3~X0){\unicdcdcdhd}((v9\_vectsp\_1~X3~\\
X0){\unicdcdcdhd}((v10\_vectsp\_1~X3~X0){\unicdcdcdhd}((v11\_vectsp\_1~X3~X0){\unicdcdcdhd}((v2\_rlvect\_1~\\
X3){\unicdcdcdhd}((v3\_rlvect\_1~X3){\unicdcdcdhd}((v4\_rlvect\_1~X3){\unicdcdcdhd}(l1\_vectsp\_1~X3~X0)))))))))){\unicdbdjdcd}\\
({\unicdcdadad} X4 .  ((\preoh v2\_struct\_0~X4){\unicdcdcdhd}((v13\_algstr\_0~X4){\unicdcdcdhd}((v8\_vectsp\_1~\\
X4~X0){\unicdcdcdhd}((v9\_vectsp\_1~X4~X0){\unicdcdcdhd}((v10\_vectsp\_1~X4~X0){\unicdcdcdhd}((v11\_vectsp\_1~\\
X4~X0){\unicdcdcdhd}((v2\_rlvect\_1~X4){\unicdcdcdhd}((v3\_rlvect\_1~X4){\unicdcdcdhd}((v4\_rlvect\_1~X4){\unicdcdcdhd}\\
(l1\_vectsp\_1~X4~X0)))))))))){\unicdbdjdcd}({\unicdcdadad} X5 .  ((\preoh v2\_struct\_0~X5){\unicdcdcdhd}\\
((v13\_algstr\_0~X5){\unicdcdcdhd}((v8\_vectsp\_1~X5~X0){\unicdcdcdhd}((v9\_vectsp\_1~X5~X0){\unicdcdcdhd}\\
((v10\_vectsp\_1~X5~X0){\unicdcdcdhd}((v11\_vectsp\_1~X5~X0){\unicdcdcdhd}((v2\_rlvect\_1~X5){\unicdcdcdhd}\\
((v3\_rlvect\_1~X5){\unicdcdcdhd}((v4\_rlvect\_1~X5){\unicdcdcdhd}(l1\_vectsp\_1~X5~X0)))))))))){\unicdbdjdcd}\\
({\unicdcdadad} X6 .  ((v1\_funct\_1~X6){\unicdcdcdhd}((v1\_funct\_2~X6~(u1\_struct\_0~X3)~\\
(u1\_struct\_0~X4)){\unicdcdcdhd}(m1\_subset\_1~X6~(k1\_zfmisc\_1~(k2\_zfmisc\_1~\\
(u1\_struct\_0~X3)~(u1\_struct\_0~X4)))))){\unicdbdjdcd}({\unicdcdadad} X7 .  ((v1\_funct\_1~\\
X7){\unicdcdcdhd}((v1\_funct\_2~X7~(u1\_struct\_0~X4)~(u1\_struct\_0~X5)){\unicdcdcdhd}(m1\_subset\_1~\\
X7~(k1\_zfmisc\_1~(k2\_zfmisc\_1~(u1\_struct\_0~X4)~(u1\_struct\_0~X5)))))){\unicdbdjdcd}\\
(\preoh (X1=g1\_mod\_2~X0~X3~X4~X6){\unicdcdcdhd}((X2=g1\_mod\_2~X0~X4~X5~X7){\unicdcdcdhd}(k8\_mod\_2~\\
X0~X2~X1=g1\_mod\_2~X0~X3~X5~(k1\_partfun1~(u1\_struct\_0~X3)~(u1\_struct\_0~\\
X4)~(u1\_struct\_0~X4)~(u1\_struct\_0~X5)~X6~X7))))))))))))\end{array}$$
\end{theorem}
\end{document}
