\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{t13\_int\_2 (TMFvmBNrxm71Vy9oqZAwcQ2P2VTUsRm2aYN)}
\maketitle
Let $ v1\_int\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ r1\_int\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ np\_\_1 : {\iota}$ be given.
Let $ k4\_xcmplx\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k6\_numbers : {\iota}$ be given.
Let $ k4\_ordinal1 : {\iota}$ be given.
Let $ v7\_ordinal1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v1\_int\_1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (v1\_int\_1~X1){\unicdbdjdcd}(\preoh (r1\_int\_1~\\
X0~X1){\unicdcdcdhd}((r1\_int\_1~X1~X0){\unicdcdcdhd}((X0{\unicdcdgdad}X1){\unicdcdcdhd}(X0{\unicdcdgdad}k4\_xcmplx\_0~X1)))))\end{array}
\label{hyp:ehbdbdpfjgogehpfcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v1\_int\_1~X0){\unicdbdjdcd}((r1\_int\_1~X0~k6\_numbers){\unicdcdcdhd}((r1\_int\_1~\\
np\_\_1~X0){\unicdcdcdhd}(r1\_int\_1~(k4\_xcmplx\_0~np\_\_1)~X0)))\end{array}
\label{hyp:mgidpfjgogehpfcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v1\_int\_1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (v1\_int\_1~X1){\unicdbdjdcd}((r1\_int\_1~\\
X0~X1){\unicdbdjded}(r1\_int\_1~X0~(k4\_xcmplx\_0~X1))))\end{array}
\label{hyp:mggdpfjgogehpfcd}
\end{equation}
Assume the following.
\begin{equation}
{{np\_\_1} \in {k4\_ordinal1}}\label{hyp:mgcdpfbgchjhehngpfdd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{({{v7\_ordinal1}~{X0}})}{\unicdbdjded}{({{X0} \in {k4\_ordinal1}})}}}\label{hyp:egbdcdpfpgchegjgogbgmgbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{({{v7\_ordinal1}~{X0}})}{\unicdbdjdcd}{({{v1\_int\_1}~{X0}})}}}\label{hyp:dgdgcdpfjgogehpfbd}
\end{equation}
\begin{theorem}\label{thm:ehbdddpfjgogehpfcd}
$$\begin{array}{c}{\unicdcdadad} X0 .  (v1\_int\_1~X0){\unicdbdjdcd}(\preoh ((r1\_int\_1~X0~np\_\_1){\unicdcdcdid}(r1\_int\_1~X0~\\
(k4\_xcmplx\_0~np\_\_1))){\unicdcdcdhd}((X0{\unicdcdgdad}np\_\_1){\unicdcdcdhd}(X0{\unicdcdgdad}k4\_xcmplx\_0~np\_\_1)))\end{array}$$
\end{theorem}
\end{document}
