\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{t28\_binari\_4 (TMa276RWh3C18JediXE9HKTPq5Kw6Bxerj5)}
\maketitle
Let $ v1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v7\_ordinal1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_int\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k6\_int\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k5\_series\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ np\_\_2 : {\iota}$ be given.
Let $ r1\_xxreal\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k6\_numbers : {\iota}$ be given.
Let $ k2\_binari\_4 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}(v7\_ordinal1~X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
(v1\_int\_1~X1){\unicdbdjdcd}({\unicdcdadad} X2 .  (v1\_int\_1~X2){\unicdbdjdcd}((k6\_int\_1~X1~(k5\_series\_1~\\
np\_\_2~X0)=k6\_int\_1~X2~(k5\_series\_1~np\_\_2~X0)){\unicdbdjdcd}((r1\_xxreal\_0~k6\_numbers~\\
X1){\unicdcdcdid}((r1\_xxreal\_0~k6\_numbers~X2){\unicdcdcdid}(k2\_binari\_4~X0~X1=k2\_binari\_4~\\
X0~X2))))))\end{array}
\label{hyp:mgddfdpfcgjgogbgchjgpfed}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}(v7\_ordinal1~X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
(v1\_int\_1~X1){\unicdbdjdcd}({\unicdcdadad} X2 .  (v1\_int\_1~X2){\unicdbdjdcd}(((r1\_xxreal\_0~k6\_numbers~\\
X1){\unicdcdcdhd}((r1\_xxreal\_0~k6\_numbers~X2){\unicdcdcdhd}(k6\_int\_1~X1~(k5\_series\_1~np\_\_2~\\
X0)=k6\_int\_1~X2~(k5\_series\_1~np\_\_2~X0)))){\unicdbdjdcd}(k2\_binari\_4~X0~X1=\\
k2\_binari\_4~X0~X2))))\end{array}
\label{hyp:mgddedpfcgjgogbgchjgpfed}
\end{equation}
\begin{theorem}\label{thm:ehcdidpfcgjgogbgchjgpfed}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}(v7\_ordinal1~X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
(v1\_int\_1~X1){\unicdbdjdcd}({\unicdcdadad} X2 .  (v1\_int\_1~X2){\unicdbdjdcd}((k6\_int\_1~X1~(k5\_series\_1~\\
np\_\_2~X0)=k6\_int\_1~X2~(k5\_series\_1~np\_\_2~X0)){\unicdbdjdcd}(((\preoh (r1\_xxreal\_0~\\
k6\_numbers~X1){\unicdcdcdhd}(r1\_xxreal\_0~k6\_numbers~X2)){\unicdcdcdhd}(\preoh (\preoh r1\_xxreal\_0~\\
k6\_numbers~X1){\unicdcdcdhd}(\preoh r1\_xxreal\_0~k6\_numbers~X2))){\unicdcdcdid}(k2\_binari\_4~\\
X0~X1=k2\_binari\_4~X0~X2)))))\end{array}$$
\end{theorem}
\end{document}
