\documentclass{article}
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\newtheorem{lemma}{Lemma}
\newtheorem{proposition}{Proposition}
\newtheorem{definition}{Definition}
\newtheorem{example}{Example}
\newtheorem{conjecture}{Conjecture}
\newcommand\unicdcdgdad{\not=}
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\newcommand\unicdbdjded{\Leftrightarrow}
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\newcommand\unicdcdidid{\not\subseteq}
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\begin{document}
\title{t29\_e\_siec (TMVxg6F3tmV4pqN1CzRwZPSxPYPQvie1pQ1)}
\maketitle
Let $ v2\_e\_siec : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v3\_e\_siec : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ l1\_e\_siec : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k3\_relat\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k15\_e\_siec : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k16\_e\_siec : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ r1\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k2\_xboole\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ v1\_relat\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k4\_xboole\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k1\_xboole\_0 : {\iota}$ be given.
Let $ k4\_relat\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ u1\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k10\_xtuple\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ u2\_e\_siec : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k2\_relat\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ u1\_e\_siec : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k9\_xtuple\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v1\_funct\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k2\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  (r1\_tarski~X0~X1){\unicdbdjdcd}(r1\_tarski~\\
(k2\_xboole\_0~X0~X2)~(k2\_xboole\_0~X1~X2))\end{array}
\label{hyp:ehjdpfihcgpgpgmgfgpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{\unicdcdadad} X1 .  {{{r1\_tarski}~{X0}}~{({{{k2\_xboole\_0}~{X0}}~{X1}})}}}}\label{hyp:ehhdpfihcgpgpgmgfgpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v1\_relat\_1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (v1\_relat\_1~X1){\unicdbdjdcd}({\unicdcdadad} X2 .  \\
(v1\_relat\_1~X2){\unicdbdjdcd}(k3\_relat\_1~(k2\_xboole\_0~X0~X1)~X2=k2\_xboole\_0~\\
(k3\_relat\_1~X0~X2)~(k3\_relat\_1~X1~X2))))\end{array}
\label{hyp:ehgdpfdhjhdhchfgmg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (k4\_xboole\_0~X0~X1=k1\_xboole\_0){\unicdbdjded}(r1\_tarski~\\
X0~X1)\end{array}
\label{hyp:ehddhdpfihcgpgpgmgfgpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{\unicdcdadad} X1 .  {{{r1\_tarski}~{({{{k4\_xboole\_0}~{X0}}~{X1}})}}~{X0}}}}\label{hyp:ehddgdpfihcgpgpgmgfgpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v1\_relat\_1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (v1\_relat\_1~X1){\unicdbdjdcd}({\unicdcdadad} X2 .  \\
(v1\_relat\_1~X2){\unicdbdjdcd}(k3\_relat\_1~(k3\_relat\_1~X0~X1)~X2=k3\_relat\_1~\\
X0~(k3\_relat\_1~X1~X2))))\end{array}
\label{hyp:ehddgdpfchfgmgbgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  (r1\_tarski~X0~X1){\unicdbdjdcd}(r1\_tarski~\\
(k4\_xboole\_0~X0~X2)~(k4\_xboole\_0~X1~X2))\end{array}
\label{hyp:ehddddpfihcgpgpgmgfgpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v1\_relat\_1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (v1\_relat\_1~X1){\unicdbdjdcd}({\unicdcdadad} X2 .  \\
(v1\_relat\_1~X2){\unicdbdjdcd}(k3\_relat\_1~X0~(k2\_xboole\_0~X1~X2)=k2\_xboole\_0~\\
(k3\_relat\_1~X0~X1)~(k3\_relat\_1~X0~X2))))\end{array}
\label{hyp:ehddcdpfchfgmgbgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v2\_e\_siec~X0){\unicdcdcdhd}((v3\_e\_siec~X0){\unicdcdcdhd}(l1\_e\_siec~X0))){\unicdbdjdcd}\\
((k3\_relat\_1~(k4\_relat\_1~(k4\_xboole\_0~(u1\_struct\_0~X0)~(k10\_xtuple\_0~\\
(u2\_e\_siec~X0))))~(k2\_relat\_1~(k4\_xboole\_0~(u2\_e\_siec~X0)~(k4\_relat\_1~\\
(u1\_struct\_0~X0))))=k1\_xboole\_0){\unicdcdcdhd}(k3\_relat\_1~(k4\_relat\_1~(\\
k4\_xboole\_0~(u1\_struct\_0~X0)~(k10\_xtuple\_0~(u1\_e\_siec~X0))))~\\
(k2\_relat\_1~(k4\_xboole\_0~(u1\_e\_siec~X0)~(k4\_relat\_1~(u1\_struct\_0~\\
X0))))=k1\_xboole\_0))\end{array}
\label{hyp:ehcdidpffgpfdhjgfgdg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v1\_relat\_1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (v1\_relat\_1~X1){\unicdbdjdcd}(r1\_tarski~\\
(k10\_xtuple\_0~(k3\_relat\_1~X0~X1))~(k10\_xtuple\_0~X1)))\end{array}
\label{hyp:ehcdgdpfchfgmgbgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v2\_e\_siec~X0){\unicdcdcdhd}((v3\_e\_siec~X0){\unicdcdcdhd}(l1\_e\_siec~X0))){\unicdbdjdcd}\\
((k3\_relat\_1~(k2\_relat\_1~(k4\_xboole\_0~(u2\_e\_siec~X0)~(k4\_relat\_1~\\
(u1\_struct\_0~X0))))~(k2\_relat\_1~(k4\_relat\_1~(k4\_xboole\_0~(u1\_struct\_0~\\
X0)~(k10\_xtuple\_0~(u2\_e\_siec~X0)))))=k2\_relat\_1~(k4\_xboole\_0~\\
(u2\_e\_siec~X0)~(k4\_relat\_1~(u1\_struct\_0~X0)))){\unicdcdcdhd}(k3\_relat\_1~(\\
k2\_relat\_1~(k4\_xboole\_0~(u1\_e\_siec~X0)~(k4\_relat\_1~(u1\_struct\_0~\\
X0))))~(k2\_relat\_1~(k4\_relat\_1~(k4\_xboole\_0~(u1\_struct\_0~X0)~\\
(k10\_xtuple\_0~(u1\_e\_siec~X0)))))=k2\_relat\_1~(k4\_xboole\_0~(u1\_e\_siec~\\
X0)~(k4\_relat\_1~(u1\_struct\_0~X0)))))\end{array}
\label{hyp:ehcdgdpffgpfdhjgfgdg}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{{{k2\_xboole\_0}~{X0}}~{k1\_xboole\_0}}={X0}}}\label{hyp:ehbdpfcgpgpgmgfg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v2\_e\_siec~X0){\unicdcdcdhd}((v3\_e\_siec~X0){\unicdcdcdhd}(l1\_e\_siec~X0))){\unicdbdjdcd}\\
((r1\_tarski~(k9\_xtuple\_0~(u1\_e\_siec~X0))~(u1\_struct\_0~X0)){\unicdcdcdhd}(\\
(r1\_tarski~(k10\_xtuple\_0~(u1\_e\_siec~X0))~(u1\_struct\_0~X0)){\unicdcdcdhd}(\\
(r1\_tarski~(k9\_xtuple\_0~(u2\_e\_siec~X0))~(u1\_struct\_0~X0)){\unicdcdcdhd}(r1\_tarski~\\
(k10\_xtuple\_0~(u2\_e\_siec~X0))~(u1\_struct\_0~X0)))))\end{array}
\label{hyp:ehbdedpffgpfdhjgfgdg}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{\unicdcdadad} X1 .  {{({{{r1\_tarski}~{X0}}~{X1}})}{\unicdbdjdcd}{({{{{k2\_xboole\_0}~{X0}}~{X1}}={X1}})}}}}\label{hyp:ehbdcdpfihcgpgpgmgfgpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{{{k3\_relat\_1}~{({{k4\_relat\_1}~{X0}})}}~{({{k4\_relat\_1}~{X0}})}}={{k4\_relat\_1}~{X0}}}}\label{hyp:ehbdcdpfdhjhdhchfgmg}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{{k2\_relat\_1}~{({{k4\_relat\_1}~{X0}})}}={{k4\_relat\_1}~{X0}}}}\label{hyp:chegddpfchfgmgbgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{({{v1\_relat\_1}~{({{k4\_relat\_1}~{X0}})}})}{\unicdcdcdhd}{({{v1\_funct\_1}~{({{k4\_relat\_1}~{X0}})}})}}}\label{hyp:ggdgddpfggfhogdgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{({{l1\_e\_siec}~{X0}})}{\unicdbdjdcd}{({{v1\_relat\_1}~{({{u2\_e\_siec}~{X0}})}})}}}\label{hyp:egehpffhcdpffgpfdhjgfgdg}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{({{l1\_e\_siec}~{X0}})}{\unicdbdjdcd}{({{v1\_relat\_1}~{({{u1\_e\_siec}~{X0}})}})}}}\label{hyp:egehpffhbdpffgpfdhjgfgdg}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{v1\_relat\_1}~{({{k4\_relat\_1}~{X0}})}}}\label{hyp:egehpflgedpfchfgmgbgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{\unicdcdadad} X1 .  {{v1\_relat\_1}~{({{{k3\_relat\_1}~{X0}}~{X1}})}}}}\label{hyp:egehpflgddpfchfgmgbgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v2\_e\_siec~X0){\unicdcdcdhd}((v3\_e\_siec~X0){\unicdcdcdhd}(l1\_e\_siec~X0))){\unicdbdjdcd}\\
(v1\_relat\_1~(k16\_e\_siec~X0))\end{array}
\label{hyp:egehpflgbdgdpffgpfdhjgfgdg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v2\_e\_siec~X0){\unicdcdcdhd}((v3\_e\_siec~X0){\unicdcdcdhd}(l1\_e\_siec~X0))){\unicdbdjdcd}\\
(v1\_relat\_1~(k15\_e\_siec~X0))\end{array}
\label{hyp:egehpflgbdfdpffgpfdhjgfgdg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (l1\_e\_siec~X0){\unicdbdjdcd}((v2\_e\_siec~X0){\unicdbdjded}((r1\_tarski~(u1\_e\_siec~\\
X0)~(k2\_zfmisc\_1~(u1\_struct\_0~X0)~(u1\_struct\_0~X0))){\unicdcdcdhd}((r1\_tarski~\\
(u2\_e\_siec~X0)~(k2\_zfmisc\_1~(u1\_struct\_0~X0)~(u1\_struct\_0~X0))){\unicdcdcdhd}\\
((k3\_relat\_1~(u1\_e\_siec~X0)~(u1\_e\_siec~X0)=u1\_e\_siec~X0){\unicdcdcdhd}((k3\_relat\_1~\\
(u1\_e\_siec~X0)~(u2\_e\_siec~X0)=u1\_e\_siec~X0){\unicdcdcdhd}((k3\_relat\_1~(u2\_e\_siec~\\
X0)~(u2\_e\_siec~X0)=u2\_e\_siec~X0){\unicdcdcdhd}(k3\_relat\_1~(u2\_e\_siec~X0)~(\\
u1\_e\_siec~X0)=u2\_e\_siec~X0)))))))\end{array}
\label{hyp:egbdpffgpfdhjgfgdg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v2\_e\_siec~X0){\unicdcdcdhd}((v3\_e\_siec~X0){\unicdcdcdhd}(l1\_e\_siec~X0))){\unicdbdjdcd}\\
(k16\_e\_siec~X0=k2\_xboole\_0~(k2\_relat\_1~(k4\_xboole\_0~(u1\_e\_siec~\\
X0)~(k4\_relat\_1~(u1\_struct\_0~X0))))~(k4\_relat\_1~(k4\_xboole\_0~\\
(u1\_struct\_0~X0)~(k10\_xtuple\_0~(u1\_e\_siec~X0)))))\end{array}
\label{hyp:egbdidpffgpfdhjgfgdg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v2\_e\_siec~X0){\unicdcdcdhd}((v3\_e\_siec~X0){\unicdcdcdhd}(l1\_e\_siec~X0))){\unicdbdjdcd}\\
(k15\_e\_siec~X0=k2\_xboole\_0~(k2\_relat\_1~(k4\_xboole\_0~(u2\_e\_siec~\\
X0)~(k4\_relat\_1~(u1\_struct\_0~X0))))~(k4\_relat\_1~(k4\_xboole\_0~\\
(u1\_struct\_0~X0)~(k10\_xtuple\_0~(u2\_e\_siec~X0)))))\end{array}
\label{hyp:egbdhdpffgpfdhjgfgdg}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{\unicdcdadad} X1 .  {{{{k2\_xboole\_0}~{X0}}~{X1}}={{{k2\_xboole\_0}~{X1}}~{X0}}}}}\label{hyp:dgpgngngfhehbgehjgghjgehjhpflgcdpfihcgpgpgmgfgpfad}
\end{equation}
\begin{theorem}\label{thm:ehcdjdpffgpfdhjgfgdg}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((v2\_e\_siec~X0){\unicdcdcdhd}((v3\_e\_siec~X0){\unicdcdcdhd}(l1\_e\_siec~X0))){\unicdbdjdcd}\\
((k3\_relat\_1~(k15\_e\_siec~X0)~(k15\_e\_siec~X0)=k15\_e\_siec~X0){\unicdcdcdhd}\\
((k3\_relat\_1~(k15\_e\_siec~X0)~(k16\_e\_siec~X0)=k15\_e\_siec~X0){\unicdcdcdhd}\\
((k3\_relat\_1~(k16\_e\_siec~X0)~(k15\_e\_siec~X0)=k16\_e\_siec~X0){\unicdcdcdhd}\\
(k3\_relat\_1~(k16\_e\_siec~X0)~(k16\_e\_siec~X0)=k16\_e\_siec~X0))))\end{array}$$
\end{theorem}
\end{document}
