\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\_funct\_5 (TMZrjnsTP76gmUTyadiWSVYVSmH4YUa6oih)}
\maketitle
Let $ k4\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k9\_xtuple\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k1\_xboole\_0 : {\iota}$ be given.
Let $ k10\_xtuple\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  \preoh (X0{\unicdcdgdad}k1\_xboole\_0){\unicdcdcdhd}({\unicdcdadad} X1 .  \preoh (X1 \in X0){\unicdcdcdhd}({\unicdcdadad} X2 .  \\
{\unicdcdadad} X3 .  \preoh ((X2 \in X0){\unicdcdcdid}(X3 \in X0)){\unicdcdcdhd}(X1=k4\_tarski~X2~X3)))\end{array}
\label{hyp:ehjdpfngdgbgchehpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (X1=k10\_xtuple\_0~X0){\unicdbdjded}({\unicdcdadad} X2 .  (X2 \in \\
X1){\unicdbdjded}({\unicdcdaddd} X3 .  k4\_tarski~X3~X2 \in X0))\end{array}
\label{hyp:egbdddpfihehfhahmgfgpfad}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (X1=k9\_xtuple\_0~X0){\unicdbdjded}({\unicdcdadad} X2 .  (X2 \in X1){\unicdbdjded}\\
({\unicdcdaddd} X3 .  k4\_tarski~X2~X3 \in X0))\end{array}
\label{hyp:egbdcdpfihehfhahmgfgpfad}
\end{equation}
\begin{theorem}\label{thm:ehbdedpfggfhogdgehpffd}
$$\begin{array}{c}{\unicdcdadad} X0 .  ({\unicdcdadad} X1 .  {\unicdcdadad} X2 .  \preoh k4\_tarski~X1~X2 \in X0){\unicdbdjdcd}((k9\_xtuple\_0~\\
X0=k1\_xboole\_0){\unicdcdcdhd}(k10\_xtuple\_0~X0=k1\_xboole\_0))\end{array}$$
\end{theorem}
\end{document}
