\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{l5\_bvfunc14 (TMNScx4gB9W3eYy2PafZ4AnD5Ufo4R2fJX2)}
\maketitle
Let $ k1\_funct\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k1\_funct\_4 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k16\_funcop\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ v1\_relat\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_funct\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_relat\_1~X0){\unicdcdcdhd}(v1\_funct\_1~X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  {\unicdcdadad} X2 .  \\
{\unicdcdadad} X3 .  {\unicdcdadad} X4 .  {\unicdcdadad} X5 .  \preoh (X5{\unicdcdgdad}X4){\unicdcdcdhd}((X5{\unicdcdgdad}X1){\unicdcdcdhd}(k1\_funct\_1~\\
(k1\_funct\_4~(k1\_funct\_4~X0~(k16\_funcop\_1~X1~X2))~(k16\_funcop\_1~\\
X4~X3))~X5{\unicdcdgdad}k1\_funct\_1~X0~X5)))\end{array}
\label{hyp:ehjdbdpfggfhogdgehpfed}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{\unicdcdadad} X1 .  {{{{k1\_funct\_1}~{({{{k16\_funcop\_1}~{X0}}~{X1}})}}~{X0}}={X1}}}}\label{hyp:ehhdcdpfggfhogdgpgahpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (v1\_relat\_1~(k16\_funcop\_1~X0~X1)){\unicdcdcdhd}(v1\_funct\_1~\\
(k16\_funcop\_1~X0~X1))\end{array}
\label{hyp:ggdgbdbdpfggfhogdgpgahpfbd}
\end{equation}
\begin{theorem}\label{thm:mgfdpfcgghggfhogdgbded}
$$\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  {\unicdcdadad} X3 .  {\unicdcdadad} X4 .  {\unicdcdadad} X5 .  \\
\preoh (X0{\unicdcdgdad}X1){\unicdcdcdhd}((X2{\unicdcdgdad}X0){\unicdcdcdhd}(k1\_funct\_1~(k1\_funct\_4~(k1\_funct\_4~(k16\_funcop\_1~\\
X0~X3)~(k16\_funcop\_1~X1~X4))~(k16\_funcop\_1~X2~X5))~X0{\unicdcdgdad}X3))\end{array}$$
\end{theorem}
\end{document}
