\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{t29\_borsuk\_7 (TMGMoQYGeRWER1Ng9LPvvrGSkE8CjpHVNw8)}
\maketitle
Let $ v1\_xcmplx\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_relat\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_funct\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k9\_xtuple\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k1\_enumset1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k1\_funct\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k1\_borsuk\_7 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}}}}$ be given.
Let $ k4\_funct\_4 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}}$ be given.
Let $ k16\_funcop\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ r1\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ k1\_funct\_4 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  k4\_funct\_4~X0~X0~X1~X2=k16\_funcop\_1~\\
X0~X2\end{array}
\label{hyp:ehidbdpfggfhogdgehpfed}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  {\unicdcdadad} X3 .  ((X0{\unicdcdgdad}X1){\unicdbdjdcd}(k1\_funct\_1~\\
(k4\_funct\_4~X0~X1~X2~X3)~X0=X2)){\unicdcdcdhd}(k1\_funct\_1~(k4\_funct\_4~X0~X1~X2~\\
X3)~X1=X3)\end{array}
\label{hyp:ehgdddpfggfhogdgehpfed}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  {\unicdcdadad} X3 .  {\unicdcdadad} X4 .  {\unicdcdadad} X5 .  \\
(v1\_xcmplx\_0~X5){\unicdbdjdcd}((r1\_zfmisc\_1~X0~X1~X5){\unicdbdjdcd}((k1\_funct\_1~(k1\_borsuk\_7~\\
X0~X1~X5~X2~X3~X4)~X0=X2){\unicdcdcdhd}((k1\_funct\_1~(k1\_borsuk\_7~X0~X1~X5~X2~X3~X4)~\\
X1=X3){\unicdcdcdhd}(k1\_funct\_1~(k1\_borsuk\_7~X0~X1~X5~X2~X3~X4)~X5=X4))))\end{array}
\label{hyp:ehcdidpfcgpgchdhfhlgpfhd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  {\unicdcdadad} X3 .  {\unicdcdadad} X4 .  k1\_borsuk\_7~\\
X0~X1~X1~X2~X3~X4=k4\_funct\_4~X0~X1~X2~X4\end{array}
\label{hyp:ehcdgdpfcgpgchdhfhlgpfhd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  {\unicdcdadad} X3 .  {\unicdcdadad} X4 .  (X0{\unicdcdgdad}X1){\unicdbdjdcd}\\
(k1\_borsuk\_7~X0~X1~X0~X2~X3~X4=k4\_funct\_4~X0~X1~X4~X3)\end{array}
\label{hyp:ehcdfdpfcgpgchdhfhlgpfhd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  {\unicdcdadad} X3 .  {\unicdcdadad} X4 .  {\unicdcdadad} X5 .  \\
k9\_xtuple\_0~(k1\_funct\_4~(k1\_funct\_4~(k16\_funcop\_1~X0~X3)~(k16\_funcop\_1~\\
X1~X4))~(k16\_funcop\_1~X2~X5))=k1\_enumset1~X0~X1~X2\end{array}
\label{hyp:ehbdbdpfcgghggfhogdgbded}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  {\unicdcdadad} X3 .  {\unicdcdadad} X4 .  {\unicdcdadad} X5 .  \\
(v1\_relat\_1~(k1\_borsuk\_7~X0~X1~X2~X3~X4~X5)){\unicdcdcdhd}(v1\_funct\_1~(k1\_borsuk\_7~\\
X0~X1~X2~X3~X4~X5))\end{array}
\label{hyp:ggdgddpfcgpgchdhfhlgpfhd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  (r1\_zfmisc\_1~X0~X1~X2){\unicdbdjded}((X0{\unicdcdgdad}\\
X1){\unicdcdcdhd}((X0{\unicdcdgdad}X2){\unicdcdcdhd}(X1{\unicdcdgdad}X2)))\end{array}
\label{hyp:egfdpfkhggngjgdhdgpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  {\unicdcdadad} X3 .  k4\_funct\_4~X0~X1~X2~\\
X3=k1\_funct\_4~(k16\_funcop\_1~X0~X2)~(k16\_funcop\_1~X1~X3)\end{array}
\label{hyp:egedpfggfhogdgehpfed}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  {\unicdcdadad} X3 .  (X3=k1\_enumset1~\\
X0~X1~X2){\unicdbdjded}({\unicdcdadad} X4 .  (X4 \in X3){\unicdbdjded}(\preoh (X4{\unicdcdgdad}X0){\unicdcdcdhd}((X4{\unicdcdgdad}X1){\unicdcdcdhd}(X4{\unicdcdgdad}X2))))\end{array}
\label{hyp:egbdpffgogfhngdhfgehbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  {\unicdcdadad} X3 .  {\unicdcdadad} X4 .  {\unicdcdadad} X5 .  \\
k1\_borsuk\_7~X0~X1~X2~X3~X4~X5=k1\_funct\_4~(k4\_funct\_4~X0~X1~X3~X4)~(\\
k16\_funcop\_1~X2~X5)\end{array}
\label{hyp:egbdpfcgpgchdhfhlgpfhd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_relat\_1~X0){\unicdcdcdhd}(v1\_funct\_1~X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  ((\\
v1\_relat\_1~X1){\unicdcdcdhd}(v1\_funct\_1~X1)){\unicdbdjdcd}((X0=X1){\unicdbdjded}((k9\_xtuple\_0~X0=\\
k9\_xtuple\_0~X1){\unicdcdcdhd}({\unicdcdadad} X2 .  (X2 \in k9\_xtuple\_0~X0){\unicdbdjdcd}(k1\_funct\_1~\\
X0~X2=k1\_funct\_1~X1~X2)))))\end{array}
\label{hyp:egbdbdpfggfhogdgehpfbd}
\end{equation}
\begin{theorem}\label{thm:ehcdjdpfcgpgchdhfhlgpfhd}
$$\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  {\unicdcdadad} X3 .  {\unicdcdadad} X4 .  {\unicdcdadad} X5 .  \\
(v1\_xcmplx\_0~X5){\unicdbdjdcd}({\unicdcdadad} X6 .  ((v1\_relat\_1~X6){\unicdcdcdhd}(v1\_funct\_1~X6)){\unicdbdjdcd}\\
(((k9\_xtuple\_0~X6=k1\_enumset1~X0~X1~X5){\unicdcdcdhd}((k1\_funct\_1~X6~X0=X2){\unicdcdcdhd}\\
((k1\_funct\_1~X6~X1=X3){\unicdcdcdhd}(k1\_funct\_1~X6~X5=X4)))){\unicdbdjdcd}(X6=k1\_borsuk\_7~\\
X0~X1~X5~X2~X3~X4)))\end{array}$$
\end{theorem}
\end{document}
