\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{t26\_modelc\_2 (TMWW5tkLKj9gdKHzdz5AA1FDFys2vG31Hz9)}
\maketitle
Let $ v1\_modelc\_2 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ m2\_finseq\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k5\_numbers : {\iota}$ be given.
Let $ r1\_modelc\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ v3\_modelc\_2 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v6\_modelc\_2 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v4\_modelc\_2 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v5\_modelc\_2 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v7\_modelc\_2 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v8\_modelc\_2 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v2\_modelc\_2 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_modelc\_2~X0){\unicdcdcdhd}(m2\_finseq\_1~X0~k5\_numbers)){\unicdbdjdcd}(\\
\preoh (\preoh v2\_modelc\_2~X0){\unicdcdcdhd}((\preoh v3\_modelc\_2~X0){\unicdcdcdhd}((\preoh v4\_modelc\_2~X0){\unicdcdcdhd}(\\
(\preoh v5\_modelc\_2~X0){\unicdcdcdhd}((\preoh v6\_modelc\_2~X0){\unicdcdcdhd}((\preoh v7\_modelc\_2~X0){\unicdcdcdhd}(\preoh \\
v8\_modelc\_2~X0)))))))\end{array}
\label{hyp:ehcdpfngpgegfgmgdgpfcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_modelc\_2~X0){\unicdcdcdhd}(m2\_finseq\_1~X0~k5\_numbers)){\unicdbdjdcd}(\\
{\unicdcdadad} X1 .  ((v1\_modelc\_2~X1){\unicdcdcdhd}(m2\_finseq\_1~X1~k5\_numbers)){\unicdbdjdcd}(\\
\preoh (v2\_modelc\_2~X0){\unicdcdcdhd}(r1\_modelc\_2~X1~X0)))\end{array}
\label{hyp:ehbdjdpfngpgegfgmgdgpfcd}
\end{equation}
\begin{theorem}\label{thm:ehcdgdpfngpgegfgmgdgpfcd}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_modelc\_2~X0){\unicdcdcdhd}(m2\_finseq\_1~X0~k5\_numbers)){\unicdbdjdcd}(\\
{\unicdcdadad} X1 .  ((v1\_modelc\_2~X1){\unicdcdcdhd}(m2\_finseq\_1~X1~k5\_numbers)){\unicdbdjdcd}(\\
\preoh (r1\_modelc\_2~X0~X1){\unicdcdcdhd}((\preoh v3\_modelc\_2~X1){\unicdcdcdhd}((\preoh v6\_modelc\_2~X1){\unicdcdcdhd}\\
((\preoh v4\_modelc\_2~X1){\unicdcdcdhd}((\preoh v5\_modelc\_2~X1){\unicdcdcdhd}((\preoh v7\_modelc\_2~X1){\unicdcdcdhd}(\\
\preoh v8\_modelc\_2~X1))))))))\end{array}$$
\end{theorem}
\end{document}
