\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{t20\_yellow17 (TMT4wKYNtytuhmhhukHbvPtcisac7TPobXE)}
\maketitle
Let $ v1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_relat\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v4\_relat\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ v1\_funct\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_partfun1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ v4\_waybel\_3 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_waybel18 : {{\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\_waybel18 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ v1\_finset\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ r1\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k2\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k3\_waybel18 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k3\_tarski : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ u1\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k4\_waybel18 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k8\_relset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}}$ be given.
Let $ k6\_waybel18 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k1\_tarski : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (m1\_subset\_1~X0~(k1\_zfmisc\_1~X1)){\unicdbdjded}(r1\_tarski~\\
X0~X1)\end{array}
\label{hyp:ehddpfdhfhcgdhfgeh}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  ((r1\_tarski~X0~X1){\unicdcdcdhd}(r1\_tarski~\\
X1~X2)){\unicdbdjdcd}(r1\_tarski~X0~X2)\end{array}
\label{hyp:ehbdpfihcgpgpgmgfgpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v1\_xboole\_0~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  ((v1\_relat\_1~X1){\unicdcdcdhd}(\\
(v4\_relat\_1~X1~X0){\unicdcdcdhd}((v1\_funct\_1~X1){\unicdcdcdhd}((v1\_partfun1~X1~X0){\unicdcdcdhd}((v4\_waybel\_3~\\
X1){\unicdcdcdhd}(v1\_waybel18~X1)))))){\unicdbdjdcd}({\unicdcdadad} X2 .  (m1\_subset\_1~X2~X0){\unicdbdjdcd}(\\
{\unicdcdadad} X3 .  (m1\_subset\_1~X3~(u1\_struct\_0~(k4\_waybel18~X0~X1~X2))){\unicdbdjdcd}\\
({\unicdcdadad} X4 .  (m1\_subset\_1~X4~(k1\_zfmisc\_1~(k2\_waybel18~X0~X1))){\unicdbdjdcd}\\
(((r1\_tarski~(k8\_relset\_1~(u1\_struct\_0~(k3\_waybel18~X0~X1))~(\\
u1\_struct\_0~(k4\_waybel18~X0~X1~X2))~(k6\_waybel18~X0~X1~X2)~(k1\_tarski~\\
X3))~(k3\_tarski~X4)){\unicdcdcdhd}({\unicdcdadad} X5 .  \preoh (X5 \in k2\_waybel18~X0~X1){\unicdcdcdhd}((X5 \in \\
X4){\unicdcdcdhd}(r1\_tarski~(k8\_relset\_1~(u1\_struct\_0~(k3\_waybel18~X0~X1))~\\
(u1\_struct\_0~(k4\_waybel18~X0~X1~X2))~(k6\_waybel18~X0~X1~X2)~(k1\_tarski~\\
X3))~X5)))){\unicdbdjdcd}(r1\_tarski~(k2\_struct\_0~(k3\_waybel18~X0~X1))~(k3\_tarski~\\
X4)))))))\end{array}
\label{hyp:ehbdjdpfjhfgmgmgpghhbdhd}
\end{equation}
\begin{theorem}\label{thm:ehcdadpfjhfgmgmgpghhbdhd}
$$\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v1\_xboole\_0~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  ((v1\_relat\_1~X1){\unicdcdcdhd}(\\
(v4\_relat\_1~X1~X0){\unicdcdcdhd}((v1\_funct\_1~X1){\unicdcdcdhd}((v1\_partfun1~X1~X0){\unicdcdcdhd}((v4\_waybel\_3~\\
X1){\unicdcdcdhd}(v1\_waybel18~X1)))))){\unicdbdjdcd}({\unicdcdadad} X2 .  (m1\_subset\_1~X2~X0){\unicdbdjdcd}(\\
{\unicdcdadad} X3 .  (m1\_subset\_1~X3~(k1\_zfmisc\_1~(k2\_waybel18~X0~X1))){\unicdbdjdcd}\\
(({\unicdcdadad} X4 .  ((v1\_finset\_1~X4){\unicdcdcdhd}(m1\_subset\_1~X4~(k1\_zfmisc\_1~\\
X3))){\unicdbdjdcd}(\preoh r1\_tarski~(k2\_struct\_0~(k3\_waybel18~X0~X1))~(k3\_tarski~\\
X4))){\unicdbdjdcd}({\unicdcdadad} X4 .  (m1\_subset\_1~X4~(u1\_struct\_0~(k4\_waybel18~\\
X0~X1~X2))){\unicdbdjdcd}({\unicdcdadad} X5 .  ((v1\_finset\_1~X5){\unicdcdcdhd}(m1\_subset\_1~X5~(k1\_zfmisc\_1~\\
X3))){\unicdbdjdcd}(\preoh (r1\_tarski~(k8\_relset\_1~(u1\_struct\_0~(k3\_waybel18~X0~\\
X1))~(u1\_struct\_0~(k4\_waybel18~X0~X1~X2))~(k6\_waybel18~X0~X1~X2)~\\
(k1\_tarski~X4))~(k3\_tarski~X5)){\unicdcdcdhd}({\unicdcdadad} X6 .  \preoh (X6 \in k2\_waybel18~\\
X0~X1){\unicdcdcdhd}((X6 \in X5){\unicdcdcdhd}(r1\_tarski~(k8\_relset\_1~(u1\_struct\_0~(k3\_waybel18~\\
X0~X1))~(u1\_struct\_0~(k4\_waybel18~X0~X1~X2))~(k6\_waybel18~X0~X1~X2)~\\
(k1\_tarski~X4))~X6))))))))))\end{array}$$
\end{theorem}
\end{document}
