\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{t94\_cohsp\_1 (TMTsZCpHVtXMpeyEvmizUoW2MFHEaeYezYg)}
\maketitle
Let $ v1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_classes1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_coh\_sp : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k4\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ np\_\_1 : {\iota}$ be given.
Let $ np\_\_2 : {\iota}$ be given.
Let $ k1\_coh\_sp : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k16\_cohsp\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k14\_cohsp\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k1\_xboole\_0 : {\iota}$ be given.
Let $ k2\_xboole\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k2\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k1\_tarski : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v1\_partfun1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k3\_tarski : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v1\_relat\_2 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v3\_relat\_2 : {{\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 $ r2\_relset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}}$ be given.
Let $ k2\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}((v1\_classes1~X0){\unicdcdcdhd}(v1\_coh\_sp~\\
X0))){\unicdbdjdcd}({\unicdcdadad} X1 .  ((\preoh v1\_xboole\_0~X1){\unicdcdcdhd}((v1\_classes1~X1){\unicdcdcdhd}(v1\_coh\_sp~\\
X1))){\unicdbdjdcd}({\unicdcdadad} X2 .  {\unicdcdadad} X3 .  (k14\_cohsp\_1~X2~X3 \in k16\_cohsp\_1~\\
X0~X1){\unicdbdjded}(((X2 \in X0){\unicdcdcdhd}(X3=k1\_xboole\_0)){\unicdcdcdid}((X2=k1\_xboole\_0){\unicdcdcdhd}(X3 \in \\
X1)))))\end{array}
\label{hyp:ehidgdpfdgpgigdhahpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  k14\_cohsp\_1~X0~X1=k2\_xboole\_0~(k2\_zfmisc\_1~\\
X0~(k1\_tarski~np\_\_1))~(k2\_zfmisc\_1~X1~(k1\_tarski~np\_\_2))\end{array}
\label{hyp:ehhdddpfdgpgigdhahpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}((v1\_classes1~X0){\unicdcdcdhd}(v1\_coh\_sp~\\
X0))){\unicdbdjdcd}({\unicdcdadad} X1 .  ((v1\_partfun1~X1~(k3\_tarski~X0)){\unicdcdcdhd}((v1\_relat\_2~\\
X1){\unicdcdcdhd}((v3\_relat\_2~X1){\unicdcdcdhd}(m1\_subset\_1~X1~(k1\_zfmisc\_1~(k2\_zfmisc\_1~\\
(k3\_tarski~X0)~(k3\_tarski~X0))))))){\unicdbdjdcd}((r2\_relset\_1~(k3\_tarski~\\
X0)~(k3\_tarski~X0)~X1~(k1\_coh\_sp~X0)){\unicdbdjded}({\unicdcdadad} X2 .  {\unicdcdadad} X3 .  (\\
k4\_tarski~X2~X3 \in X1){\unicdbdjded}(k2\_tarski~X2~X3 \in X0))))\end{array}
\label{hyp:ehfdpfdgpgigpfdhah}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  k2\_zfmisc\_1~(k1\_tarski~X0)~(k1\_tarski~X1)=\\
k1\_tarski~(k4\_tarski~X0~X1)\end{array}
\label{hyp:ehcdjdpfkhggngjgdhdgpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  k2\_tarski~X0~X1=k2\_xboole\_0~(k1\_tarski~\\
X0)~(k1\_tarski~X1)\end{array}
\label{hyp:ehbdpffgogfhngdhfgehbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  {\unicdcdadad} X3 .  ((m1\_subset\_1~X2~\\
(k1\_zfmisc\_1~(k2\_zfmisc\_1~X0~X1))){\unicdcdcdhd}(m1\_subset\_1~X3~(k1\_zfmisc\_1~\\
(k2\_zfmisc\_1~X0~X1)))){\unicdbdjdcd}(r2\_relset\_1~X0~X1~X2~X2)\end{array}
\label{hyp:chfgggmgfgihjgghjgehjhpfchcdpfchfgmgdhfgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {\preoh{{{v1\_xboole\_0}~{({{k1\_tarski}~{X0}})}}}}}\label{hyp:ggdgcdpfihcgpgpgmgfgpfad}
\end{equation}
Assume the following.
\begin{equation}
{{v1\_xboole\_0}~{k1\_xboole\_0}}\label{hyp:ggdgbdpfihcgpgpgmgfgpfad}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}((v1\_classes1~X0){\unicdcdcdhd}\\
(v1\_coh\_sp~X0))){\unicdcdcdhd}((\preoh v1\_xboole\_0~X1){\unicdcdcdhd}((v1\_classes1~X1){\unicdcdcdhd}(v1\_coh\_sp~\\
X1)))){\unicdbdjdcd}((\preoh v1\_xboole\_0~(k16\_cohsp\_1~X0~X1)){\unicdcdcdhd}((v1\_classes1~(k16\_cohsp\_1~\\
X0~X1)){\unicdcdcdhd}(v1\_coh\_sp~(k16\_cohsp\_1~X0~X1))))\end{array}
\label{hyp:ggdgbdfdpfdgpgigdhahpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}((v1\_classes1~X0){\unicdcdcdhd}(v1\_coh\_sp~\\
X0))){\unicdbdjdcd}((v1\_partfun1~(k1\_coh\_sp~X0)~(k3\_tarski~X0)){\unicdcdcdhd}((v1\_relat\_2~\\
(k1\_coh\_sp~X0)){\unicdcdcdhd}((v3\_relat\_2~(k1\_coh\_sp~X0)){\unicdcdcdhd}(m1\_subset\_1~(\\
k1\_coh\_sp~X0)~(k1\_zfmisc\_1~(k2\_zfmisc\_1~(k3\_tarski~X0)~(k3\_tarski~\\
X0)))))))\end{array}
\label{hyp:egehpflgbdpfdgpgigpfdhah}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{\unicdcdadad} X1 .  {{{{k2\_tarski}~{X0}}~{X1}}={{{k2\_tarski}~{X1}}~{X0}}}}}\label{hyp:dgpgngngfhehbgehjgghjgehjhpflgcdpfehbgchdhlgjg}
\end{equation}
\begin{theorem}\label{thm:ehjdedpfdgpgigdhahpfbd}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}((v1\_classes1~X0){\unicdcdcdhd}(v1\_coh\_sp~\\
X0))){\unicdbdjdcd}({\unicdcdadad} X1 .  ((\preoh v1\_xboole\_0~X1){\unicdcdcdhd}((v1\_classes1~X1){\unicdcdcdhd}(v1\_coh\_sp~\\
X1))){\unicdbdjdcd}({\unicdcdadad} X2 .  {\unicdcdadad} X3 .  (\preoh k4\_tarski~(k4\_tarski~X2~np\_\_1)~\\
(k4\_tarski~X3~np\_\_2) \in k1\_coh\_sp~(k16\_cohsp\_1~X0~X1)){\unicdcdcdhd}(\preoh k4\_tarski~\\
(k4\_tarski~X3~np\_\_2)~(k4\_tarski~X2~np\_\_1) \in k1\_coh\_sp~(k16\_cohsp\_1~\\
X0~X1))))\end{array}$$
\end{theorem}
\end{document}
