\documentclass{article}
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\newtheorem{proposition}{Proposition}
\newtheorem{definition}{Definition}
\newtheorem{example}{Example}
\newtheorem{conjecture}{Conjecture}
\newcommand\unicdcdgdad{\not=}
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\begin{document}
\title{t40\_descip\_1 (TMT7uW9GhpFtLp9gXT2Qu3QPjeF69s7PW38)}
\maketitle
Let $ m2\_finseq\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ k6\_margrel1 : {\iota}$ be given.
Let $ k4\_finseq\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ np\_\_64 : {\iota}$ be given.
Let $ k43\_descip\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k42\_descip\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ np\_\_48 : {\iota}$ be given.
Let $ np\_\_16 : {\iota}$ 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 $ k2\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ np\_\_32 : {\iota}$ be given.
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v3\_funct\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ k41\_descip\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}}$ be given.
Let $ k1\_descip\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ v2\_xxreal\_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 $ m1\_finseq\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k4\_ordinal1 : {\iota}$ be given.
Let $ k26\_descip\_1 : {\iota}$ be given.
Let $ v7\_ordinal1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k39\_descip\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k35\_descip\_1 : {\iota}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m2\_finseq\_2~X0~(k4\_finseq\_2~np\_\_48~k6\_margrel1)~(\\
k4\_finseq\_2~np\_\_16~(k4\_finseq\_2~np\_\_48~k6\_margrel1))){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
((v1\_funct\_1~X1){\unicdcdcdhd}((v1\_funct\_2~X1~(k2\_zfmisc\_1~(k4\_finseq\_2~np\_\_32~\\
k6\_margrel1)~(k4\_finseq\_2~np\_\_48~k6\_margrel1))~(k4\_finseq\_2~\\
np\_\_32~k6\_margrel1)){\unicdcdcdhd}(m1\_subset\_1~X1~(k1\_zfmisc\_1~(k2\_zfmisc\_1~\\
(k2\_zfmisc\_1~(k4\_finseq\_2~np\_\_32~k6\_margrel1)~(k4\_finseq\_2~np\_\_48~\\
k6\_margrel1))~(k4\_finseq\_2~np\_\_32~k6\_margrel1)))))){\unicdbdjdcd}({\unicdcdadad} X2 .  \\
((v1\_funct\_1~X2){\unicdcdcdhd}((v1\_funct\_2~X2~(k4\_finseq\_2~np\_\_64~k6\_margrel1)~\\
(k4\_finseq\_2~np\_\_64~k6\_margrel1)){\unicdcdcdhd}((v3\_funct\_2~X2~(k4\_finseq\_2~\\
np\_\_64~k6\_margrel1)~(k4\_finseq\_2~np\_\_64~k6\_margrel1)){\unicdcdcdhd}(m1\_subset\_1~\\
X2~(k1\_zfmisc\_1~(k2\_zfmisc\_1~(k4\_finseq\_2~np\_\_64~k6\_margrel1)~\\
(k4\_finseq\_2~np\_\_64~k6\_margrel1))))))){\unicdbdjdcd}({\unicdcdadad} X3 .  (m2\_finseq\_2~\\
X3~k6\_margrel1~(k4\_finseq\_2~np\_\_64~k6\_margrel1)){\unicdbdjdcd}(k41\_descip\_1~\\
(k1\_descip\_1~(k4\_finseq\_2~np\_\_48~k6\_margrel1)~np\_\_16~X0)~X1~X2~\\
(k41\_descip\_1~X0~X1~X2~X3)=X3))))\end{array}
\label{hyp:ehddjdpfegfgdhdgjgahpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}((v2\_xxreal\_0~np\_\_64){\unicdcdcdhd}(m2\_subset\_1~np\_\_64~k1\_numbers~k5\_numbers)){\unicdcdcdhd}\\
((m1\_subset\_1~np\_\_64~k5\_numbers){\unicdcdcdhd}(m1\_subset\_1~np\_\_64~k1\_numbers))\end{array}
\label{hyp:dhahdggdedpfogfhngfgchbgmgdh}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (m1\_finseq\_2~X1~X0){\unicdbdjdcd}({\unicdcdadad} X2 .  (m2\_finseq\_2~\\
X2~X0~X1){\unicdbdjded}(m1\_subset\_1~X2~X1))\end{array}
\label{hyp:chfgegfgggjgogjgehjgpgogpfngcdpfggjgogdhfgbhpfcd}
\end{equation}
Assume the following.
\begin{equation}
{{k5\_numbers}={k4\_ordinal1}}\label{hyp:chfgegfgggjgogjgehjgpgogpflgfdpfogfhngcgfgchdh}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}(v1\_funct\_1~k26\_descip\_1){\unicdcdcdhd}((v1\_funct\_2~k26\_descip\_1~(k4\_finseq\_2~\\
np\_\_64~k6\_margrel1)~(k4\_finseq\_2~np\_\_64~k6\_margrel1)){\unicdcdcdhd}(v3\_funct\_2~\\
k26\_descip\_1~(k4\_finseq\_2~np\_\_64~k6\_margrel1)~(k4\_finseq\_2~np\_\_64~\\
k6\_margrel1)))\end{array}
\label{hyp:ggdgcdpfegfgdhdgjgahpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (v7\_ordinal1~X0){\unicdbdjdcd}(m1\_finseq\_2~(k4\_finseq\_2~\\
X0~X1)~X1)\end{array}
\label{hyp:egehpflgedpfggjgogdhfgbhpfcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  ((m1\_subset\_1~X0~(k4\_finseq\_2~np\_\_64~k6\_margrel1)){\unicdcdcdhd}\\
(m1\_subset\_1~X1~(k4\_finseq\_2~np\_\_64~k6\_margrel1))){\unicdbdjdcd}(m2\_finseq\_2~\\
(k42\_descip\_1~X0~X1)~k6\_margrel1~(k4\_finseq\_2~np\_\_64~k6\_margrel1))\end{array}
\label{hyp:egehpflgedcdpfegfgdhdgjgahpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m1\_subset\_1~X0~(k4\_finseq\_2~np\_\_64~k6\_margrel1)){\unicdbdjdcd}\\
(m2\_finseq\_2~(k39\_descip\_1~X0)~(k4\_finseq\_2~np\_\_48~k6\_margrel1)~\\
(k4\_finseq\_2~np\_\_16~(k4\_finseq\_2~np\_\_48~k6\_margrel1)))\end{array}
\label{hyp:egehpflgddjdpfegfgdhdgjgahpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}(v1\_funct\_1~k35\_descip\_1){\unicdcdcdhd}((v1\_funct\_2~k35\_descip\_1~(k2\_zfmisc\_1~\\
(k4\_finseq\_2~np\_\_32~k6\_margrel1)~(k4\_finseq\_2~np\_\_48~k6\_margrel1))~\\
(k4\_finseq\_2~np\_\_32~k6\_margrel1)){\unicdcdcdhd}(m1\_subset\_1~k35\_descip\_1~\\
(k1\_zfmisc\_1~(k2\_zfmisc\_1~(k2\_zfmisc\_1~(k4\_finseq\_2~np\_\_32~k6\_margrel1)~\\
(k4\_finseq\_2~np\_\_48~k6\_margrel1))~(k4\_finseq\_2~np\_\_32~k6\_margrel1)))))\end{array}
\label{hyp:egehpflgddfdpfegfgdhdgjgahpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}(v1\_funct\_1~k26\_descip\_1){\unicdcdcdhd}((v1\_funct\_2~k26\_descip\_1~(k4\_finseq\_2~\\
np\_\_64~k6\_margrel1)~(k4\_finseq\_2~np\_\_64~k6\_margrel1)){\unicdcdcdhd}(m1\_subset\_1~\\
k26\_descip\_1~(k1\_zfmisc\_1~(k2\_zfmisc\_1~(k4\_finseq\_2~np\_\_64~k6\_margrel1)~\\
(k4\_finseq\_2~np\_\_64~k6\_margrel1)))))\end{array}
\label{hyp:egehpflgcdgdpfegfgdhdgjgahpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m2\_finseq\_2~X0~k6\_margrel1~(k4\_finseq\_2~np\_\_64~k6\_margrel1)){\unicdbdjdcd}\\
({\unicdcdadad} X1 .  (m2\_finseq\_2~X1~k6\_margrel1~(k4\_finseq\_2~np\_\_64~k6\_margrel1)){\unicdbdjdcd}\\
(k43\_descip\_1~X0~X1=k41\_descip\_1~(k1\_descip\_1~(k4\_finseq\_2~np\_\_48~\\
k6\_margrel1)~np\_\_16~(k39\_descip\_1~X1))~k35\_descip\_1~k26\_descip\_1~\\
X0))\end{array}
\label{hyp:egddcdpfegfgdhdgjgahpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m2\_finseq\_2~X0~k6\_margrel1~(k4\_finseq\_2~np\_\_64~k6\_margrel1)){\unicdbdjdcd}\\
({\unicdcdadad} X1 .  (m2\_finseq\_2~X1~k6\_margrel1~(k4\_finseq\_2~np\_\_64~k6\_margrel1)){\unicdbdjdcd}\\
(k42\_descip\_1~X0~X1=k41\_descip\_1~(k39\_descip\_1~X1)~k35\_descip\_1~\\
k26\_descip\_1~X0))\end{array}
\label{hyp:egddbdpfegfgdhdgjgahpfbd}
\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:ehedadpfegfgdhdgjgahpfbd}
$$\begin{array}{c}{\unicdcdadad} X0 .  (m2\_finseq\_2~X0~k6\_margrel1~(k4\_finseq\_2~np\_\_64~k6\_margrel1)){\unicdbdjdcd}\\
({\unicdcdadad} X1 .  (m2\_finseq\_2~X1~k6\_margrel1~(k4\_finseq\_2~np\_\_64~k6\_margrel1)){\unicdbdjdcd}\\
(k43\_descip\_1~(k42\_descip\_1~X0~X1)~X1=X0))\end{array}$$
\end{theorem}
\end{document}
