\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{t28\_cfdiff\_1 (TMd8JH1bouaQZHYzqGZjeLdQWVRXoUUMqVj)}
\maketitle
Let $ v1\_funct\_1 : {{\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 $ k2\_numbers : {\iota}$ be given.
Let $ v6\_cfdiff\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ r1\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_relset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k2\_valued\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}}}$ be given.
Let $ r2\_cfdiff\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k7\_partfun1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k3\_cfdiff\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k8\_complex1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k2\_cfdiff\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ r1\_cfdiff\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ v1\_membered : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  ((X0 \in X1){\unicdcdcdhd}(m1\_subset\_1~X1~(k1\_zfmisc\_1~\\
X2))){\unicdbdjdcd}(m1\_subset\_1~X0~X2)\end{array}
\label{hyp:ehedpfdhfhcgdhfgeh}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_funct\_1~X0){\unicdcdcdhd}(m1\_subset\_1~X0~(k1\_zfmisc\_1~(k2\_zfmisc\_1~\\
k2\_numbers~k2\_numbers)))){\unicdbdjdcd}({\unicdcdadad} X1 .  ((v1\_funct\_1~X1){\unicdcdcdhd}(m1\_subset\_1~\\
X1~(k1\_zfmisc\_1~(k2\_zfmisc\_1~k2\_numbers~k2\_numbers)))){\unicdbdjdcd}({\unicdcdadad} X2 .  \\
(m1\_subset\_1~X2~k2\_numbers){\unicdbdjdcd}(((r1\_cfdiff\_1~X0~X2){\unicdcdcdhd}(r1\_cfdiff\_1~\\
X1~X2)){\unicdbdjdcd}((r1\_cfdiff\_1~(k2\_valued\_1~k2\_numbers~k2\_numbers~k2\_numbers~\\
X0~X1)~X2){\unicdcdcdhd}(k2\_cfdiff\_1~(k2\_valued\_1~k2\_numbers~k2\_numbers~k2\_numbers~\\
X0~X1)~X2=k8\_complex1~(k2\_cfdiff\_1~X0~X2)~(k2\_cfdiff\_1~X1~X2))))))\end{array}
\label{hyp:ehcdddpfdgggegjgggggpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_funct\_1~X0){\unicdcdcdhd}(m1\_subset\_1~X0~(k1\_zfmisc\_1~(k2\_zfmisc\_1~\\
k2\_numbers~k2\_numbers)))){\unicdbdjdcd}({\unicdcdadad} X1 .  ((v6\_cfdiff\_1~X1){\unicdcdcdhd}(m1\_subset\_1~\\
X1~(k1\_zfmisc\_1~k2\_numbers))){\unicdbdjdcd}((r2\_cfdiff\_1~X0~X1){\unicdbdjded}((r1\_tarski~\\
X1~(k1\_relset\_1~k2\_numbers~X0)){\unicdcdcdhd}({\unicdcdadad} X2 .  (m1\_subset\_1~X2~k2\_numbers){\unicdbdjdcd}\\
((X2 \in X1){\unicdbdjdcd}(r1\_cfdiff\_1~X0~X2))))))\end{array}
\label{hyp:ehbdfdpfdgggegjgggggpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{v1\_membered}~{k2\_numbers}}\label{hyp:ggdgbdpfngfgngcgfgchfgeg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  ((v1\_funct\_1~X0){\unicdcdcdhd}(m1\_subset\_1~X0~(k1\_zfmisc\_1~\\
(k2\_zfmisc\_1~k2\_numbers~k2\_numbers)))){\unicdbdjdcd}((v1\_funct\_1~(k3\_cfdiff\_1~\\
X0~X1)){\unicdcdcdhd}(m1\_subset\_1~(k3\_cfdiff\_1~X0~X1)~(k1\_zfmisc\_1~(k2\_zfmisc\_1~\\
k2\_numbers~k2\_numbers))))\end{array}
\label{hyp:egehpflgddpfdgggegjgggggpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  {\unicdcdadad} X3 .  {\unicdcdadad} X4 .  ((v1\_membered~\\
X1){\unicdcdcdhd}((v1\_membered~X2){\unicdcdcdhd}(((v1\_funct\_1~X3){\unicdcdcdhd}(m1\_subset\_1~X3~(k1\_zfmisc\_1~\\
(k2\_zfmisc\_1~X0~X1)))){\unicdcdcdhd}((v1\_funct\_1~X4){\unicdcdcdhd}(m1\_subset\_1~X4~(k1\_zfmisc\_1~\\
(k2\_zfmisc\_1~X0~X2))))))){\unicdbdjdcd}((v1\_funct\_1~(k2\_valued\_1~X0~X1~X2~X3~\\
X4)){\unicdcdcdhd}(m1\_subset\_1~(k2\_valued\_1~X0~X1~X2~X3~X4)~(k1\_zfmisc\_1~(k2\_zfmisc\_1~\\
X0~k2\_numbers))))\end{array}
\label{hyp:egehpflgcdpfghbgmgfhfgegpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_funct\_1~X0){\unicdcdcdhd}(m1\_subset\_1~X0~(k1\_zfmisc\_1~(k2\_zfmisc\_1~\\
k2\_numbers~k2\_numbers)))){\unicdbdjdcd}({\unicdcdadad} X1 .  (r2\_cfdiff\_1~X0~X1){\unicdbdjdcd}(\\
{\unicdcdadad} X2 .  ((v1\_funct\_1~X2){\unicdcdcdhd}(m1\_subset\_1~X2~(k1\_zfmisc\_1~(k2\_zfmisc\_1~\\
k2\_numbers~k2\_numbers)))){\unicdbdjdcd}((X2=k3\_cfdiff\_1~X0~X1){\unicdbdjded}((k1\_relset\_1~\\
k2\_numbers~X2=X1){\unicdcdcdhd}({\unicdcdadad} X3 .  (m1\_subset\_1~X3~k2\_numbers){\unicdbdjdcd}(\\
(X3 \in X1){\unicdbdjdcd}(k7\_partfun1~k2\_numbers~X2~X3=k2\_cfdiff\_1~X0~X3)))))))\end{array}
\label{hyp:egbdcdpfdgggegjgggggpfbd}
\end{equation}
\begin{theorem}\label{thm:ehcdidpfdgggegjgggggpfbd}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_funct\_1~X0){\unicdcdcdhd}(m1\_subset\_1~X0~(k1\_zfmisc\_1~(k2\_zfmisc\_1~\\
k2\_numbers~k2\_numbers)))){\unicdbdjdcd}({\unicdcdadad} X1 .  ((v1\_funct\_1~X1){\unicdcdcdhd}(m1\_subset\_1~\\
X1~(k1\_zfmisc\_1~(k2\_zfmisc\_1~k2\_numbers~k2\_numbers)))){\unicdbdjdcd}({\unicdcdadad} X2 .  \\
((v6\_cfdiff\_1~X2){\unicdcdcdhd}(m1\_subset\_1~X2~(k1\_zfmisc\_1~k2\_numbers))){\unicdbdjdcd}\\
(((r1\_tarski~X2~(k1\_relset\_1~k2\_numbers~(k2\_valued\_1~k2\_numbers~\\
k2\_numbers~k2\_numbers~X0~X1))){\unicdcdcdhd}((r2\_cfdiff\_1~X0~X2){\unicdcdcdhd}(r2\_cfdiff\_1~\\
X1~X2))){\unicdbdjdcd}((r2\_cfdiff\_1~(k2\_valued\_1~k2\_numbers~k2\_numbers~k2\_numbers~\\
X0~X1)~X2){\unicdcdcdhd}({\unicdcdadad} X3 .  (m1\_subset\_1~X3~k2\_numbers){\unicdbdjdcd}((X3 \in X2){\unicdbdjdcd}\\
(k7\_partfun1~k2\_numbers~(k3\_cfdiff\_1~(k2\_valued\_1~k2\_numbers~\\
k2\_numbers~k2\_numbers~X0~X1)~X2)~X3=k8\_complex1~(k2\_cfdiff\_1~X0~\\
X3)~(k2\_cfdiff\_1~X1~X3))))))))\end{array}$$
\end{theorem}
\end{document}
