\documentclass{article}
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\newtheorem{lemma}{Lemma}
\newtheorem{proposition}{Proposition}
\newtheorem{definition}{Definition}
\newtheorem{example}{Example}
\newtheorem{conjecture}{Conjecture}
\newcommand\unicdcdgdad{\not=}
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\newcommand\unicdcdadjd{\notin}
\newcommand\unicdbdjded{\Leftrightarrow}
\newcommand\unicdcdcdid{\lor}
\newcommand\unicdcdcdhd{\land}
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\newcommand\unicdcdaddd{\exists}
\newcommand\unicdcdidid{\not\subseteq}
\newcommand\preoh[1]{\lnot #1}
\newcommand\mname[1]{{\mathsf{#1}}}
\begin{document}
\title{t6\_asympt\_1 (TMSi6x3MJf7NCY7FbNVNW4aKHWYo8SCL6hS)}
\maketitle
Let $ k3\_asympt\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k10\_real\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ np\_\_1 : {\iota}$ be given.
Let $ np\_\_2 : {\iota}$ be given.
Let $ k7\_asympt\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k2\_asympt\_1 : {\iota}$ be given.
Let $ r1\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k6\_asympt\_0 : {{\iota}{\unicdbdjdcd}{\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 $ k5\_numbers : {\iota}$ be given.
Let $ k1\_numbers : {\iota}$ be given.
Let $ v2\_asympt\_0 : {{\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 $ v2\_xxreal\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ m2\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ v4\_asympt\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_xreal\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v5\_asympt\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}(r1\_tarski~(k6\_asympt\_0~k2\_asympt\_1)~(k6\_asympt\_0~(k3\_asympt\_1~\\
(k10\_real\_1~np\_\_1~np\_\_2)))){\unicdcdcdhd}(k6\_asympt\_0~k2\_asympt\_1{\unicdcdgdad}k6\_asympt\_0~\\
(k3\_asympt\_1~(k10\_real\_1~np\_\_1~np\_\_2)))\end{array}
\label{hyp:ehfdpfbgdhjhngahehpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_funct\_1~X0){\unicdcdcdhd}((v1\_funct\_2~X0~k5\_numbers~k1\_numbers){\unicdcdcdhd}\\
((v2\_asympt\_0~X0){\unicdcdcdhd}(m1\_subset\_1~X0~(k1\_zfmisc\_1~(k2\_zfmisc\_1~\\
k5\_numbers~k1\_numbers)))))){\unicdbdjdcd}({\unicdcdadad} X1 .  ((v1\_funct\_1~X1){\unicdcdcdhd}(\\
(v1\_funct\_2~X1~k5\_numbers~k1\_numbers){\unicdcdcdhd}((v2\_asympt\_0~X1){\unicdcdcdhd}(m1\_subset\_1~\\
X1~(k1\_zfmisc\_1~(k2\_zfmisc\_1~k5\_numbers~k1\_numbers)))))){\unicdbdjdcd}((\\
(r1\_tarski~(k6\_asympt\_0~X0)~(k6\_asympt\_0~X1)){\unicdbdjdcd}((k6\_asympt\_0~\\
X0=k6\_asympt\_0~X1){\unicdcdcdid}((X0 \in k6\_asympt\_0~X1){\unicdcdcdhd}(\preoh X0 \in k7\_asympt\_0~X1)))){\unicdcdcdhd}\\
((X0 \in k6\_asympt\_0~X1){\unicdbdjdcd}((X0 \in k7\_asympt\_0~X1){\unicdcdcdid}((r1\_tarski~(k6\_asympt\_0~\\
X0)~(k6\_asympt\_0~X1)){\unicdcdcdhd}(k6\_asympt\_0~X0{\unicdcdgdad}k6\_asympt\_0~X1))))))\end{array}
\label{hyp:ehedpfbgdhjhngahehpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_funct\_1~X0){\unicdcdcdhd}((v1\_funct\_2~X0~k5\_numbers~k1\_numbers){\unicdcdcdhd}\\
((v2\_asympt\_0~X0){\unicdcdcdhd}(m1\_subset\_1~X0~(k1\_zfmisc\_1~(k2\_zfmisc\_1~\\
k5\_numbers~k1\_numbers)))))){\unicdbdjdcd}({\unicdcdadad} X1 .  ((v1\_funct\_1~X1){\unicdcdcdhd}(\\
(v1\_funct\_2~X1~k5\_numbers~k1\_numbers){\unicdcdcdhd}((v2\_asympt\_0~X1){\unicdcdcdhd}(m1\_subset\_1~\\
X1~(k1\_zfmisc\_1~(k2\_zfmisc\_1~k5\_numbers~k1\_numbers)))))){\unicdbdjdcd}((\\
X0 \in k7\_asympt\_0~X1){\unicdbdjded}(X1 \in k6\_asympt\_0~X0)))\end{array}
\label{hyp:ehbdjdpfbgdhjhngahehpfad}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}((v2\_xxreal\_0~np\_\_2){\unicdcdcdhd}(m2\_subset\_1~np\_\_2~k1\_numbers~k5\_numbers)){\unicdcdcdhd}\\
((m1\_subset\_1~np\_\_2~k5\_numbers){\unicdcdcdhd}(m1\_subset\_1~np\_\_2~k1\_numbers))\end{array}
\label{hyp:dhahdgcdpfogfhngfgchbgmgdh}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}((v2\_xxreal\_0~np\_\_1){\unicdcdcdhd}(m2\_subset\_1~np\_\_1~k1\_numbers~k5\_numbers)){\unicdcdcdhd}\\
((m1\_subset\_1~np\_\_1~k5\_numbers){\unicdcdcdhd}(m1\_subset\_1~np\_\_1~k1\_numbers))\end{array}
\label{hyp:dhahdgbdpfogfhngfgchbgmgdh}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m1\_subset\_1~X0~k1\_numbers){\unicdbdjdcd}((v1\_funct\_1~(k3\_asympt\_1~\\
X0)){\unicdcdcdhd}((v1\_funct\_2~(k3\_asympt\_1~X0)~k5\_numbers~k1\_numbers){\unicdcdcdhd}(\\
v4\_asympt\_0~(k3\_asympt\_1~X0))))\end{array}
\label{hyp:ggdgddpfbgdhjhngahehpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}(v1\_funct\_1~k2\_asympt\_1){\unicdcdcdhd}((v1\_funct\_2~k2\_asympt\_1~k5\_numbers~\\
k1\_numbers){\unicdcdcdhd}(v4\_asympt\_0~k2\_asympt\_1))\end{array}
\label{hyp:ggdgcdpfbgdhjhngahehpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m1\_subset\_1~X0~k1\_numbers){\unicdbdjdcd}((v1\_funct\_1~(k3\_asympt\_1~\\
X0)){\unicdcdcdhd}((v1\_funct\_2~(k3\_asympt\_1~X0)~k5\_numbers~k1\_numbers){\unicdcdcdhd}(\\
m1\_subset\_1~(k3\_asympt\_1~X0)~(k1\_zfmisc\_1~(k2\_zfmisc\_1~k5\_numbers~\\
k1\_numbers)))))\end{array}
\label{hyp:egehpflgddpfbgdhjhngahehpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}(v1\_funct\_1~k2\_asympt\_1){\unicdcdcdhd}((v1\_funct\_2~k2\_asympt\_1~k5\_numbers~\\
k1\_numbers){\unicdcdcdhd}(m1\_subset\_1~k2\_asympt\_1~(k1\_zfmisc\_1~(k2\_zfmisc\_1~\\
k5\_numbers~k1\_numbers))))\end{array}
\label{hyp:egehpflgcdpfbgdhjhngahehpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  ((m1\_subset\_1~X0~k1\_numbers){\unicdcdcdhd}(v1\_xreal\_0~\\
X1)){\unicdbdjdcd}(m1\_subset\_1~(k10\_real\_1~X0~X1)~k1\_numbers)\end{array}
\label{hyp:egehpflgbdadpfchfgbgmgpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m1\_subset\_1~X0~(k1\_zfmisc\_1~(k2\_zfmisc\_1~k5\_numbers~\\
k1\_numbers))){\unicdbdjdcd}(((v1\_funct\_1~X0){\unicdcdcdhd}((v1\_funct\_2~X0~k5\_numbers~\\
k1\_numbers){\unicdcdcdhd}(v4\_asympt\_0~X0))){\unicdbdjdcd}((v1\_funct\_1~X0){\unicdcdcdhd}((v1\_funct\_2~\\
X0~k5\_numbers~k1\_numbers){\unicdcdcdhd}((v2\_asympt\_0~X0){\unicdcdcdhd}(v5\_asympt\_0~X0)))))\end{array}
\label{hyp:dgdgcdpfbgdhjhngahehpfad}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{({{{m1\_subset\_1}~{X0}}~{k1\_numbers}})}{\unicdbdjdcd}{({{v1\_xreal\_0}~{X0}})}}}\label{hyp:dgdgbdpfihchfgbgmgpfad}
\end{equation}
\begin{theorem}\label{thm:ehgdpfbgdhjhngahehpfbd}
$$\begin{array}{c}(k3\_asympt\_1~(k10\_real\_1~np\_\_1~np\_\_2) \in k7\_asympt\_0~k2\_asympt\_1){\unicdcdcdhd}\\
(\preoh k2\_asympt\_1 \in k7\_asympt\_0~(k3\_asympt\_1~(k10\_real\_1~np\_\_1~np\_\_2)))\end{array}$$
\end{theorem}
\end{document}
