\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{t14\_taxonom2 (TMQKzwMY5fmA4F5WhfjjUTHFFPCADWFr5tK)}
\maketitle
Let $ v3\_abian : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ m1\_taxonom2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ v4\_taxonom2 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ r1\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k5\_setfam\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ m1\_eqrel\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_xboole\_0 : {\iota}$ be given.
Let $ r1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{{\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 .  {\unicdcdadad} X1 .  (m1\_taxonom2~X1~X0){\unicdbdjdcd}({\unicdcdadad} X2 .  ((v4\_taxonom2~\\
X2){\unicdcdcdhd}(m1\_subset\_1~X2~(k1\_zfmisc\_1~(k1\_zfmisc\_1~X0)))){\unicdbdjdcd}(((r1\_tarski~\\
X2~X1){\unicdcdcdhd}({\unicdcdadad} X3 .  ((v4\_taxonom2~X3){\unicdcdcdhd}(m1\_subset\_1~X3~(k1\_zfmisc\_1~\\
(k1\_zfmisc\_1~X0)))){\unicdbdjdcd}(((r1\_tarski~X3~X1){\unicdcdcdhd}(r1\_tarski~(k5\_setfam\_1~\\
X0~X2)~(k5\_setfam\_1~X0~X3))){\unicdbdjdcd}(X2=X3)))){\unicdbdjdcd}({\unicdcdadad} X3 .  (m1\_subset\_1~\\
X3~(k1\_zfmisc\_1~X0)){\unicdbdjdcd}(\preoh (X3 \in X2){\unicdcdcdhd}(X3=k1\_xboole\_0)))))\end{array}
\label{hyp:mgbdjdpfehbgihpgogpgngcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (m1\_taxonom2~X1~X0){\unicdbdjdcd}((v3\_abian~X1~(k1\_zfmisc\_1~\\
(k1\_zfmisc\_1~X0))){\unicdbdjdcd}({\unicdcdadad} X2 .  ((v4\_taxonom2~X2){\unicdcdcdhd}(m1\_subset\_1~\\
X2~(k1\_zfmisc\_1~(k1\_zfmisc\_1~X0)))){\unicdbdjdcd}(((r1\_tarski~X2~X1){\unicdcdcdhd}({\unicdcdadad} X3 .  \\
((v4\_taxonom2~X3){\unicdcdcdhd}(m1\_subset\_1~X3~(k1\_zfmisc\_1~(k1\_zfmisc\_1~\\
X0)))){\unicdbdjdcd}(((r1\_tarski~X3~X1){\unicdcdcdhd}(r1\_tarski~(k5\_setfam\_1~X0~X2)~(k5\_setfam\_1~\\
X0~X3))){\unicdbdjdcd}(X2=X3)))){\unicdbdjdcd}(k5\_setfam\_1~X0~X2=X0))))\end{array}
\label{hyp:mgbdidpfehbgihpgogpgngcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v4\_taxonom2~X0){\unicdbdjded}({\unicdcdadad} X1 .  {\unicdcdadad} X2 .  ((X1 \in X0){\unicdcdcdhd}\\
(X2 \in X0)){\unicdbdjdcd}((X1=X2){\unicdcdcdid}(r1\_xboole\_0~X1~X2)))\end{array}
\label{hyp:egfdpfehbgihpgogpgngcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (m1\_subset\_1~X1~(k1\_zfmisc\_1~(k1\_zfmisc\_1~\\
X0))){\unicdbdjdcd}((m1\_eqrel\_1~X1~X0){\unicdbdjded}((k5\_setfam\_1~X0~X1=X0){\unicdcdcdhd}({\unicdcdadad} X2 .  \\
(m1\_subset\_1~X2~(k1\_zfmisc\_1~X0)){\unicdbdjdcd}((X2 \in X1){\unicdbdjdcd}((X2{\unicdcdgdad}k1\_xboole\_0){\unicdcdcdhd}\\
({\unicdcdadad} X3 .  (m1\_subset\_1~X3~(k1\_zfmisc\_1~X0)){\unicdbdjdcd}(\preoh (X3 \in X1){\unicdcdcdhd}((X2{\unicdcdgdad}\\
X3){\unicdcdcdhd}(\preoh r1\_xboole\_0~X2~X3)))))))))\end{array}
\label{hyp:egedpffgbhchfgmgpfbd}
\end{equation}
\begin{theorem}\label{thm:ehbdedpfehbgihpgogpgngcd}
$$\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  ((v3\_abian~X1~(k1\_zfmisc\_1~(k1\_zfmisc\_1~\\
X0))){\unicdcdcdhd}(m1\_taxonom2~X1~X0)){\unicdbdjdcd}({\unicdcdadad} X2 .  ((v4\_taxonom2~X2){\unicdcdcdhd}(m1\_subset\_1~\\
X2~(k1\_zfmisc\_1~(k1\_zfmisc\_1~X0)))){\unicdbdjdcd}(((r1\_tarski~X2~X1){\unicdcdcdhd}({\unicdcdadad} X3 .  \\
((v4\_taxonom2~X3){\unicdcdcdhd}(m1\_subset\_1~X3~(k1\_zfmisc\_1~(k1\_zfmisc\_1~\\
X0)))){\unicdbdjdcd}(((r1\_tarski~X3~X1){\unicdcdcdhd}(r1\_tarski~(k5\_setfam\_1~X0~X2)~(k5\_setfam\_1~\\
X0~X3))){\unicdbdjdcd}(X2=X3)))){\unicdbdjdcd}(m1\_eqrel\_1~X2~X0)))\end{array}$$
\end{theorem}
\end{document}
