\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=}
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\newcommand\unicdcdbdgd{\setminus}
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\newcommand\unicdbdjdcd{\Rightarrow}
\newcommand\unicdcdadjd{\notin}
\newcommand\unicdbdjded{\Leftrightarrow}
\newcommand\unicdcdcdid{\lor}
\newcommand\unicdcdcdhd{\land}
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\newcommand\unicdcdidid{\not\subseteq}
\newcommand\preoh[1]{\lnot #1}
\newcommand\mname[1]{{\mathsf{#1}}}
\begin{document}
\title{t24\_bvfunc11 (TMdJyMBmJiSFhJZyoZvtFaQMrAG5Y951yB4)}
\maketitle
Let $ v1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_funct\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_funct\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ k6\_margrel1 : {\iota}$ be given.
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k2\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k1\_bvfunc\_2 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ m1\_eqrel\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ r1\_bvfunc\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ k6\_bvfunc\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}}$ be given.
Let $ k7\_bvfunc\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v1\_xboole\_0~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  ((v1\_funct\_1~X1){\unicdcdcdhd}(\\
(v1\_funct\_2~X1~X0~k6\_margrel1){\unicdcdcdhd}(m1\_subset\_1~X1~(k1\_zfmisc\_1~(\\
k2\_zfmisc\_1~X0~k6\_margrel1))))){\unicdbdjdcd}({\unicdcdadad} X2 .  ((v1\_funct\_1~X2){\unicdcdcdhd}\\
((v1\_funct\_2~X2~X0~k6\_margrel1){\unicdcdcdhd}(m1\_subset\_1~X2~(k1\_zfmisc\_1~\\
(k2\_zfmisc\_1~X0~k6\_margrel1))))){\unicdbdjdcd}({\unicdcdadad} X3 .  (m1\_subset\_1~X3~\\
(k1\_zfmisc\_1~(k1\_bvfunc\_2~X0))){\unicdbdjdcd}({\unicdcdadad} X4 .  (m1\_eqrel\_1~X4~X0){\unicdbdjdcd}\\
((r1\_bvfunc\_1~X0~X1~X2){\unicdbdjdcd}(r1\_bvfunc\_1~X0~(k6\_bvfunc\_2~X0~X1~X3~X4)~\\
(k7\_bvfunc\_2~X0~X2~X3~X4)))))))\end{array}
\label{hyp:ehidpfcgghggfhogdgbdbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  ((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}(((v1\_funct\_1~\\
X1){\unicdcdcdhd}((v1\_funct\_2~X1~X0~k6\_margrel1){\unicdcdcdhd}(m1\_subset\_1~X1~(k1\_zfmisc\_1~\\
(k2\_zfmisc\_1~X0~k6\_margrel1))))){\unicdcdcdhd}((v1\_funct\_1~X2){\unicdcdcdhd}((v1\_funct\_2~\\
X2~X0~k6\_margrel1){\unicdcdcdhd}(m1\_subset\_1~X2~(k1\_zfmisc\_1~(k2\_zfmisc\_1~\\
X0~k6\_margrel1))))))){\unicdbdjdcd}(r1\_bvfunc\_1~X0~X1~X1)\end{array}
\label{hyp:chfgggmgfgihjgghjgehjhpfchbdpfcgghggfhogdgpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  {\unicdcdadad} X3 .  ((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}\\
(((v1\_funct\_1~X1){\unicdcdcdhd}((v1\_funct\_2~X1~X0~k6\_margrel1){\unicdcdcdhd}(m1\_subset\_1~\\
X1~(k1\_zfmisc\_1~(k2\_zfmisc\_1~X0~k6\_margrel1))))){\unicdcdcdhd}((m1\_subset\_1~\\
X2~(k1\_zfmisc\_1~(k1\_bvfunc\_2~X0))){\unicdcdcdhd}(m1\_eqrel\_1~X3~X0)))){\unicdbdjdcd}((v1\_funct\_1~\\
(k7\_bvfunc\_2~X0~X1~X2~X3)){\unicdcdcdhd}((v1\_funct\_2~(k7\_bvfunc\_2~X0~X1~X2~X3)~\\
X0~k6\_margrel1){\unicdcdcdhd}(m1\_subset\_1~(k7\_bvfunc\_2~X0~X1~X2~X3)~(k1\_zfmisc\_1~\\
(k2\_zfmisc\_1~X0~k6\_margrel1)))))\end{array}
\label{hyp:egehpflghdpfcgghggfhogdgpfcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  {\unicdcdadad} X3 .  ((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}\\
(((v1\_funct\_1~X1){\unicdcdcdhd}((v1\_funct\_2~X1~X0~k6\_margrel1){\unicdcdcdhd}(m1\_subset\_1~\\
X1~(k1\_zfmisc\_1~(k2\_zfmisc\_1~X0~k6\_margrel1))))){\unicdcdcdhd}((m1\_subset\_1~\\
X2~(k1\_zfmisc\_1~(k1\_bvfunc\_2~X0))){\unicdcdcdhd}(m1\_eqrel\_1~X3~X0)))){\unicdbdjdcd}((v1\_funct\_1~\\
(k6\_bvfunc\_2~X0~X1~X2~X3)){\unicdcdcdhd}((v1\_funct\_2~(k6\_bvfunc\_2~X0~X1~X2~X3)~\\
X0~k6\_margrel1){\unicdcdcdhd}(m1\_subset\_1~(k6\_bvfunc\_2~X0~X1~X2~X3)~(k1\_zfmisc\_1~\\
(k2\_zfmisc\_1~X0~k6\_margrel1)))))\end{array}
\label{hyp:egehpflggdpfcgghggfhogdgpfcd}
\end{equation}
\begin{theorem}\label{thm:ehcdedpfcgghggfhogdgbdbd}
$$\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v1\_xboole\_0~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  ((v1\_funct\_1~X1){\unicdcdcdhd}(\\
(v1\_funct\_2~X1~X0~k6\_margrel1){\unicdcdcdhd}(m1\_subset\_1~X1~(k1\_zfmisc\_1~(\\
k2\_zfmisc\_1~X0~k6\_margrel1))))){\unicdbdjdcd}({\unicdcdadad} X2 .  (m1\_subset\_1~X2~\\
(k1\_zfmisc\_1~(k1\_bvfunc\_2~X0))){\unicdbdjdcd}({\unicdcdadad} X3 .  (m1\_eqrel\_1~X3~X0){\unicdbdjdcd}\\
({\unicdcdadad} X4 .  (m1\_eqrel\_1~X4~X0){\unicdbdjdcd}(r1\_bvfunc\_1~X0~(k6\_bvfunc\_2~X0~\\
(k6\_bvfunc\_2~X0~X1~X2~X3)~X2~X4)~(k7\_bvfunc\_2~X0~(k7\_bvfunc\_2~X0~X1~\\
X2~X3)~X2~X4))))))\end{array}$$
\end{theorem}
\end{document}
