\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{t49\_ndiff\_4 (TMKbdFXRq11WdseMb8wzey1Z8SMFyaQ5QPq)}
\maketitle
Let $ v1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ m2\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ k1\_numbers : {\iota}$ be given.
Let $ k5\_numbers : {\iota}$ be given.
Let $ v1\_funct\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_ndiff\_3 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k4\_real\_ns1 : {{\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 $ u1\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k7\_partfun1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k6\_numbers : {\iota}$ be given.
Let $ k4\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v2\_ndiff\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ v1\_funct\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ v2\_ndiff\_3 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ v13\_vectsp\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ v1\_lopban\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ v2\_lopban\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ k6\_vfunct\_1 : {{\iota}{\unicdbdjdcd}{{\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 $ v2\_struct\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v7\_struct\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v13\_algstr\_0 : {{\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 $ v5\_rlvect\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v6\_rlvect\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v7\_rlvect\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v8\_rlvect\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v3\_normsp\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v4\_normsp\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v2\_normsp\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ l1\_normsp\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k2\_vfunct\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}}$ be given.
Let $ k4\_ordinal1 : {\iota}$ be given.
Let $ v3\_ordinal1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v7\_ordinal1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_normsp\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v2\_struct\_0~X0){\unicdcdcdhd}((\preoh v7\_struct\_0~X0){\unicdcdcdhd}((v13\_algstr\_0~\\
X0){\unicdcdcdhd}((v2\_rlvect\_1~X0){\unicdcdcdhd}((v3\_rlvect\_1~X0){\unicdcdcdhd}((v4\_rlvect\_1~X0){\unicdcdcdhd}\\
((v5\_rlvect\_1~X0){\unicdcdcdhd}((v6\_rlvect\_1~X0){\unicdcdcdhd}((v7\_rlvect\_1~X0){\unicdcdcdhd}((v8\_rlvect\_1~\\
X0){\unicdcdcdhd}((v3\_normsp\_0~X0){\unicdcdcdhd}((v4\_normsp\_0~X0){\unicdcdcdhd}((v2\_normsp\_1~X0){\unicdcdcdhd}\\
(l1\_normsp\_1~X0)))))))))))))){\unicdbdjdcd}({\unicdcdadad} X1 .  ((v1\_funct\_1~X1){\unicdcdcdhd}\\
((v1\_ndiff\_3~X1~X0){\unicdcdcdhd}(m1\_subset\_1~X1~(k1\_zfmisc\_1~(k2\_zfmisc\_1~\\
k1\_numbers~(u1\_struct\_0~X0)))))){\unicdbdjdcd}({\unicdcdadad} X2 .  ((v1\_funct\_1~X2){\unicdcdcdhd}\\
((v1\_ndiff\_3~X2~X0){\unicdcdcdhd}(m1\_subset\_1~X2~(k1\_zfmisc\_1~(k2\_zfmisc\_1~\\
k1\_numbers~(u1\_struct\_0~X0)))))){\unicdbdjdcd}(((v1\_funct\_1~(k6\_vfunct\_1~\\
k1\_numbers~X0~X1~X2)){\unicdcdcdhd}((v1\_ndiff\_3~(k6\_vfunct\_1~k1\_numbers~X0~\\
X1~X2)~X0){\unicdcdcdhd}(m1\_subset\_1~(k6\_vfunct\_1~k1\_numbers~X0~X1~X2)~(k1\_zfmisc\_1~\\
(k2\_zfmisc\_1~k1\_numbers~(u1\_struct\_0~X0)))))){\unicdcdcdhd}((v1\_funct\_1~\\
(k2\_vfunct\_1~k1\_numbers~X0~X1~X2)){\unicdcdcdhd}((v1\_ndiff\_3~(k2\_vfunct\_1~\\
k1\_numbers~X0~X1~X2)~X0){\unicdcdcdhd}(m1\_subset\_1~(k2\_vfunct\_1~k1\_numbers~\\
X0~X1~X2)~(k1\_zfmisc\_1~(k2\_zfmisc\_1~k1\_numbers~(u1\_struct\_0~X0)))))))))\end{array}
\label{hyp:ehhdpfogegjgggggpfdd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}(m2\_subset\_1~X0~k1\_numbers~k5\_numbers)){\unicdbdjdcd}\\
({\unicdcdadad} X1 .  ((\preoh v1\_xboole\_0~X1){\unicdcdcdhd}(m2\_subset\_1~X1~k1\_numbers~k5\_numbers)){\unicdbdjdcd}\\
({\unicdcdadad} X2 .  ((v1\_funct\_1~X2){\unicdcdcdhd}((v1\_ndiff\_3~X2~(k4\_real\_ns1~X0)){\unicdcdcdhd}\\
(m1\_subset\_1~X2~(k1\_zfmisc\_1~(k2\_zfmisc\_1~k1\_numbers~(u1\_struct\_0~\\
(k4\_real\_ns1~X0))))))){\unicdbdjdcd}((k7\_partfun1~(u1\_struct\_0~(k4\_real\_ns1~\\
X0))~X2~k6\_numbers=k4\_struct\_0~(k4\_real\_ns1~X0)){\unicdbdjdcd}({\unicdcdadad} X3 .  \\
((v1\_funct\_1~X3){\unicdcdcdhd}((v2\_ndiff\_1~X3~(k4\_real\_ns1~X0)~(k4\_real\_ns1~\\
X1)){\unicdcdcdhd}(m1\_subset\_1~X3~(k1\_zfmisc\_1~(k2\_zfmisc\_1~(u1\_struct\_0~\\
(k4\_real\_ns1~X0))~(u1\_struct\_0~(k4\_real\_ns1~X1))))))){\unicdbdjdcd}((k7\_partfun1~\\
(u1\_struct\_0~(k4\_real\_ns1~X1))~X3~(k4\_struct\_0~(k4\_real\_ns1~X0))=\\
k4\_struct\_0~(k4\_real\_ns1~X1)){\unicdbdjdcd}({\unicdcdadad} X4 .  ((v1\_funct\_1~X4){\unicdcdcdhd}\\
((v1\_funct\_2~X4~k1\_numbers~(u1\_struct\_0~(k4\_real\_ns1~X0))){\unicdcdcdhd}(\\
(v2\_ndiff\_3~X4~(k4\_real\_ns1~X0)){\unicdcdcdhd}(m1\_subset\_1~X4~(k1\_zfmisc\_1~\\
(k2\_zfmisc\_1~k1\_numbers~(u1\_struct\_0~(k4\_real\_ns1~X0)))))))){\unicdbdjdcd}\\
((v1\_funct\_1~(k1\_partfun1~k1\_numbers~(u1\_struct\_0~(k4\_real\_ns1~\\
X0))~(u1\_struct\_0~(k4\_real\_ns1~X0))~(u1\_struct\_0~(k4\_real\_ns1~\\
X1))~(k6\_vfunct\_1~k1\_numbers~(k4\_real\_ns1~X0)~X4~X2)~X3)){\unicdcdcdhd}((v1\_ndiff\_3~\\
(k1\_partfun1~k1\_numbers~(u1\_struct\_0~(k4\_real\_ns1~X0))~(u1\_struct\_0~\\
(k4\_real\_ns1~X0))~(u1\_struct\_0~(k4\_real\_ns1~X1))~(k6\_vfunct\_1~\\
k1\_numbers~(k4\_real\_ns1~X0)~X4~X2)~X3)~(k4\_real\_ns1~X1)){\unicdcdcdhd}(m1\_subset\_1~\\
(k1\_partfun1~k1\_numbers~(u1\_struct\_0~(k4\_real\_ns1~X0))~(u1\_struct\_0~\\
(k4\_real\_ns1~X0))~(u1\_struct\_0~(k4\_real\_ns1~X1))~(k6\_vfunct\_1~\\
k1\_numbers~(k4\_real\_ns1~X0)~X4~X2)~X3)~(k1\_zfmisc\_1~(k2\_zfmisc\_1~\\
k1\_numbers~(u1\_struct\_0~(k4\_real\_ns1~X1)))))))))))))\end{array}
\label{hyp:ehedidpfogegjgggggpfed}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}(m2\_subset\_1~X0~k1\_numbers~k5\_numbers)){\unicdbdjdcd}\\
({\unicdcdadad} X1 .  ((\preoh v1\_xboole\_0~X1){\unicdcdcdhd}(m2\_subset\_1~X1~k1\_numbers~k5\_numbers)){\unicdbdjdcd}\\
({\unicdcdadad} X2 .  ((v1\_funct\_1~X2){\unicdcdcdhd}((v1\_ndiff\_3~X2~(k4\_real\_ns1~X0)){\unicdcdcdhd}\\
(m1\_subset\_1~X2~(k1\_zfmisc\_1~(k2\_zfmisc\_1~k1\_numbers~(u1\_struct\_0~\\
(k4\_real\_ns1~X0))))))){\unicdbdjdcd}({\unicdcdadad} X3 .  ((v1\_funct\_1~X3){\unicdcdcdhd}((v1\_funct\_2~\\
X3~(u1\_struct\_0~(k4\_real\_ns1~X0))~(u1\_struct\_0~(k4\_real\_ns1~X1))){\unicdcdcdhd}\\
((v13\_vectsp\_1~X3~(k4\_real\_ns1~X0)~(k4\_real\_ns1~X1)){\unicdcdcdhd}((v1\_lopban\_1~\\
X3~(k4\_real\_ns1~X0)~(k4\_real\_ns1~X1)){\unicdcdcdhd}((v2\_lopban\_1~X3~(k4\_real\_ns1~\\
X0)~(k4\_real\_ns1~X1)){\unicdcdcdhd}(m1\_subset\_1~X3~(k1\_zfmisc\_1~(k2\_zfmisc\_1~\\
(u1\_struct\_0~(k4\_real\_ns1~X0))~(u1\_struct\_0~(k4\_real\_ns1~X1)))))))))){\unicdbdjdcd}\\
((v1\_funct\_1~(k1\_partfun1~k1\_numbers~(u1\_struct\_0~(k4\_real\_ns1~\\
X0))~(u1\_struct\_0~(k4\_real\_ns1~X0))~(u1\_struct\_0~(k4\_real\_ns1~\\
X1))~X2~X3)){\unicdcdcdhd}((v1\_ndiff\_3~(k1\_partfun1~k1\_numbers~(u1\_struct\_0~\\
(k4\_real\_ns1~X0))~(u1\_struct\_0~(k4\_real\_ns1~X0))~(u1\_struct\_0~\\
(k4\_real\_ns1~X1))~X2~X3)~(k4\_real\_ns1~X1)){\unicdcdcdhd}(m1\_subset\_1~(k1\_partfun1~\\
k1\_numbers~(u1\_struct\_0~(k4\_real\_ns1~X0))~(u1\_struct\_0~(k4\_real\_ns1~\\
X0))~(u1\_struct\_0~(k4\_real\_ns1~X1))~X2~X3)~(k1\_zfmisc\_1~(k2\_zfmisc\_1~\\
k1\_numbers~(u1\_struct\_0~(k4\_real\_ns1~X1))))))))))\end{array}
\label{hyp:ehedhdpfogegjgggggpfed}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  ((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}((\preoh v1\_xboole\_0~X1){\unicdcdcdhd}\\
(m1\_subset\_1~X1~(k1\_zfmisc\_1~X0)))){\unicdbdjdcd}({\unicdcdadad} X2 .  (m2\_subset\_1~\\
X2~X0~X1){\unicdbdjded}(m1\_subset\_1~X2~X1))\end{array}
\label{hyp:chfgegfgggjgogjgehjgpgogpfngcdpfdhfhcgdhfgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{k5\_numbers}={k4\_ordinal1}}\label{hyp:chfgegfgggjgogjgehjgpgogpflgfdpfogfhngcgfgchdh}
\end{equation}
Assume the following.
\begin{equation}
{{({\preoh{{{v1\_xboole\_0}~{k4\_ordinal1}}}})}{\unicdcdcdhd}{({{v3\_ordinal1}~{k4\_ordinal1}})}}\label{hyp:ggdggdpfpgchegjgogbgmgbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v7\_ordinal1~X0){\unicdbdjdcd}((\preoh v2\_struct\_0~(k4\_real\_ns1~X0)){\unicdcdcdhd}\\
((v13\_algstr\_0~(k4\_real\_ns1~X0)){\unicdcdcdhd}((v2\_rlvect\_1~(k4\_real\_ns1~\\
X0)){\unicdcdcdhd}((v3\_rlvect\_1~(k4\_real\_ns1~X0)){\unicdcdcdhd}((v4\_rlvect\_1~(k4\_real\_ns1~\\
X0)){\unicdcdcdhd}((v5\_rlvect\_1~(k4\_real\_ns1~X0)){\unicdcdcdhd}((v6\_rlvect\_1~(k4\_real\_ns1~\\
X0)){\unicdcdcdhd}((v7\_rlvect\_1~(k4\_real\_ns1~X0)){\unicdcdcdhd}((v8\_rlvect\_1~(k4\_real\_ns1~\\
X0)){\unicdcdcdhd}((v3\_normsp\_0~(k4\_real\_ns1~X0)){\unicdcdcdhd}((v4\_normsp\_0~(k4\_real\_ns1~\\
X0)){\unicdcdcdhd}((v1\_normsp\_1~(k4\_real\_ns1~X0)){\unicdcdcdhd}(v2\_normsp\_1~(k4\_real\_ns1~\\
X0))))))))))))))\end{array}
\label{hyp:ggdgddpfchfgbgmgpfogdhbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}(v7\_ordinal1~X0)){\unicdbdjdcd}((\preoh v2\_struct\_0~\\
(k4\_real\_ns1~X0)){\unicdcdcdhd}((\preoh v7\_struct\_0~(k4\_real\_ns1~X0)){\unicdcdcdhd}(v1\_normsp\_1~\\
(k4\_real\_ns1~X0))))\end{array}
\label{hyp:ggdgcdpfchfgbgmgpfogdhbd}
\end{equation}
Assume the following.
\begin{equation}
{\preoh{{{v1\_xboole\_0}~{k1\_numbers}}}}\label{hyp:ggdgbdpfogfhngcgfgchdh}
\end{equation}
Assume the following.
\begin{equation}
{{{m1\_subset\_1}~{k5\_numbers}}~{({{k1\_zfmisc\_1}~{k1\_numbers}})}}\label{hyp:egehpflgfdpfogfhngcgfgchdh}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v7\_ordinal1~X0){\unicdbdjdcd}((\preoh v2\_struct\_0~(k4\_real\_ns1~X0)){\unicdcdcdhd}\\
((v1\_normsp\_1~(k4\_real\_ns1~X0)){\unicdcdcdhd}(l1\_normsp\_1~(k4\_real\_ns1~X0))))\end{array}
\label{hyp:egehpflgedpfchfgbgmgpfogdhbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{({{{m1\_subset\_1}~{X0}}~{k4\_ordinal1}})}{\unicdbdjdcd}{({{v7\_ordinal1}~{X0}})}}}\label{hyp:dgdgidpfpgchegjgogbgmgbd}
\end{equation}
\begin{theorem}\label{thm:ehedjdpfogegjgggggpfed}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}(m2\_subset\_1~X0~k1\_numbers~k5\_numbers)){\unicdbdjdcd}\\
({\unicdcdadad} X1 .  ((\preoh v1\_xboole\_0~X1){\unicdcdcdhd}(m2\_subset\_1~X1~k1\_numbers~k5\_numbers)){\unicdbdjdcd}\\
({\unicdcdadad} X2 .  ((v1\_funct\_1~X2){\unicdcdcdhd}((v1\_ndiff\_3~X2~(k4\_real\_ns1~X0)){\unicdcdcdhd}\\
(m1\_subset\_1~X2~(k1\_zfmisc\_1~(k2\_zfmisc\_1~k1\_numbers~(u1\_struct\_0~\\
(k4\_real\_ns1~X0))))))){\unicdbdjdcd}((k7\_partfun1~(u1\_struct\_0~(k4\_real\_ns1~\\
X0))~X2~k6\_numbers=k4\_struct\_0~(k4\_real\_ns1~X0)){\unicdbdjdcd}({\unicdcdadad} X3 .  \\
((v1\_funct\_1~X3){\unicdcdcdhd}((v2\_ndiff\_1~X3~(k4\_real\_ns1~X0)~(k4\_real\_ns1~\\
X1)){\unicdcdcdhd}(m1\_subset\_1~X3~(k1\_zfmisc\_1~(k2\_zfmisc\_1~(u1\_struct\_0~\\
(k4\_real\_ns1~X0))~(u1\_struct\_0~(k4\_real\_ns1~X1))))))){\unicdbdjdcd}((k7\_partfun1~\\
(u1\_struct\_0~(k4\_real\_ns1~X1))~X3~(k4\_struct\_0~(k4\_real\_ns1~X0))=\\
k4\_struct\_0~(k4\_real\_ns1~X1)){\unicdbdjdcd}({\unicdcdadad} X4 .  ((v1\_funct\_1~X4){\unicdcdcdhd}\\
((v1\_funct\_2~X4~k1\_numbers~(u1\_struct\_0~(k4\_real\_ns1~X0))){\unicdcdcdhd}(\\
(v2\_ndiff\_3~X4~(k4\_real\_ns1~X0)){\unicdcdcdhd}(m1\_subset\_1~X4~(k1\_zfmisc\_1~\\
(k2\_zfmisc\_1~k1\_numbers~(u1\_struct\_0~(k4\_real\_ns1~X0)))))))){\unicdbdjdcd}\\
({\unicdcdadad} X5 .  ((v1\_funct\_1~X5){\unicdcdcdhd}((v1\_funct\_2~X5~(u1\_struct\_0~(k4\_real\_ns1~\\
X0))~(u1\_struct\_0~(k4\_real\_ns1~X1))){\unicdcdcdhd}((v13\_vectsp\_1~X5~(k4\_real\_ns1~\\
X0)~(k4\_real\_ns1~X1)){\unicdcdcdhd}((v1\_lopban\_1~X5~(k4\_real\_ns1~X0)~(k4\_real\_ns1~\\
X1)){\unicdcdcdhd}((v2\_lopban\_1~X5~(k4\_real\_ns1~X0)~(k4\_real\_ns1~X1)){\unicdcdcdhd}(m1\_subset\_1~\\
X5~(k1\_zfmisc\_1~(k2\_zfmisc\_1~(u1\_struct\_0~(k4\_real\_ns1~X0))~(\\
u1\_struct\_0~(k4\_real\_ns1~X1)))))))))){\unicdbdjdcd}((v1\_funct\_1~(k6\_vfunct\_1~\\
k1\_numbers~(k4\_real\_ns1~X1)~(k1\_partfun1~k1\_numbers~(u1\_struct\_0~\\
(k4\_real\_ns1~X0))~(u1\_struct\_0~(k4\_real\_ns1~X0))~(u1\_struct\_0~\\
(k4\_real\_ns1~X1))~X2~X5)~(k1\_partfun1~k1\_numbers~(u1\_struct\_0~\\
(k4\_real\_ns1~X0))~(u1\_struct\_0~(k4\_real\_ns1~X0))~(u1\_struct\_0~\\
(k4\_real\_ns1~X1))~(k6\_vfunct\_1~k1\_numbers~(k4\_real\_ns1~X0)~X4~\\
X2)~X3))){\unicdcdcdhd}((v1\_ndiff\_3~(k6\_vfunct\_1~k1\_numbers~(k4\_real\_ns1~\\
X1)~(k1\_partfun1~k1\_numbers~(u1\_struct\_0~(k4\_real\_ns1~X0))~(u1\_struct\_0~\\
(k4\_real\_ns1~X0))~(u1\_struct\_0~(k4\_real\_ns1~X1))~X2~X5)~(k1\_partfun1~\\
k1\_numbers~(u1\_struct\_0~(k4\_real\_ns1~X0))~(u1\_struct\_0~(k4\_real\_ns1~\\
X0))~(u1\_struct\_0~(k4\_real\_ns1~X1))~(k6\_vfunct\_1~k1\_numbers~(\\
k4\_real\_ns1~X0)~X4~X2)~X3))~(k4\_real\_ns1~X1)){\unicdcdcdhd}(m1\_subset\_1~(k6\_vfunct\_1~\\
k1\_numbers~(k4\_real\_ns1~X1)~(k1\_partfun1~k1\_numbers~(u1\_struct\_0~\\
(k4\_real\_ns1~X0))~(u1\_struct\_0~(k4\_real\_ns1~X0))~(u1\_struct\_0~\\
(k4\_real\_ns1~X1))~X2~X5)~(k1\_partfun1~k1\_numbers~(u1\_struct\_0~\\
(k4\_real\_ns1~X0))~(u1\_struct\_0~(k4\_real\_ns1~X0))~(u1\_struct\_0~\\
(k4\_real\_ns1~X1))~(k6\_vfunct\_1~k1\_numbers~(k4\_real\_ns1~X0)~X4~\\
X2)~X3))~(k1\_zfmisc\_1~(k2\_zfmisc\_1~k1\_numbers~(u1\_struct\_0~(k4\_real\_ns1~\\
X1))))))))))))))\end{array}$$
\end{theorem}
\end{document}
