\documentclass{article}
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\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}
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\newcommand\unicdbdjdcd{\Rightarrow}
\newcommand\unicdcdadjd{\notin}
\newcommand\unicdbdjded{\Leftrightarrow}
\newcommand\unicdcdcdid{\lor}
\newcommand\unicdcdcdhd{\land}
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\newcommand\unicdcdaddd{\exists}
\newcommand\unicdcdidid{\not\subseteq}
\newcommand\preoh[1]{\lnot #1}
\newcommand\mname[1]{{\mathsf{#1}}}
\begin{document}
\title{t59\_funct\_7 (TMa2j2MjwKB4ziSMYDkrTyesMucQaTPkicr)}
\maketitle
Let $ v1\_relat\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_funct\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_funcop\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_finseq\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k1\_xboole\_0 : {\iota}$ be given.
Let $ r1\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k10\_xtuple\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k4\_funct\_7 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k7\_funct\_7 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k6\_funct\_7 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k7\_finseq\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k9\_finseq\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k9\_xtuple\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k3\_relat\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
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){\unicdcdcdhd}(v1\_finseq\_1~X1))){\unicdbdjdcd}((k6\_funct\_7~\\
(k7\_finseq\_1~(k9\_finseq\_1~X0)~X1)=k9\_xtuple\_0~X0){\unicdcdcdhd}(k7\_funct\_7~\\
(k7\_finseq\_1~X1~(k9\_finseq\_1~X0))=k10\_xtuple\_0~X0)))\end{array}
\label{hyp:ehfdidpfggfhogdgehpfhd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  ((v1\_relat\_1~X1){\unicdcdcdhd}((v1\_funct\_1~X1){\unicdcdcdhd}((v1\_funcop\_1~\\
X1){\unicdcdcdhd}(v1\_finseq\_1~X1)))){\unicdbdjdcd}({\unicdcdadad} X2 .  ((v1\_relat\_1~X2){\unicdcdcdhd}(v1\_funct\_1~\\
X2)){\unicdbdjdcd}(k4\_funct\_7~X0~(k7\_finseq\_1~X1~(k9\_finseq\_1~X2))=k3\_relat\_1~\\
(k4\_funct\_7~X0~X1)~X2))\end{array}
\label{hyp:ehedbdpfggfhogdgehpfhd}
\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 : \iota{\unicdbdjdcd}o .  ((X0~k1\_xboole\_0){\unicdcdcdhd}({\unicdcdadad} X1 .  ((v1\_relat\_1~\\
X1){\unicdcdcdhd}((v1\_funct\_1~X1){\unicdcdcdhd}((v1\_funcop\_1~X1){\unicdcdcdhd}(v1\_finseq\_1~X1)))){\unicdbdjdcd}\\
((X0~X1){\unicdbdjdcd}({\unicdcdadad} X2 .  ((v1\_relat\_1~X2){\unicdcdcdhd}(v1\_funct\_1~X2)){\unicdbdjdcd}(X0~(\\
k7\_finseq\_1~X1~(k9\_finseq\_1~X2))))))){\unicdbdjdcd}({\unicdcdadad} X1 .  ((v1\_relat\_1~\\
X1){\unicdcdcdhd}((v1\_funct\_1~X1){\unicdcdcdhd}((v1\_funcop\_1~X1){\unicdcdcdhd}(v1\_finseq\_1~X1)))){\unicdbdjdcd}\\
(X0~X1))\end{array}
\label{hyp:dhfdpfggfhogdgehpfhd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  ((v1\_relat\_1~X1){\unicdcdcdhd}((v1\_funct\_1~X1){\unicdcdcdhd}((v1\_funcop\_1~\\
X1){\unicdcdcdhd}(v1\_finseq\_1~X1)))){\unicdbdjdcd}((v1\_relat\_1~(k4\_funct\_7~X0~X1)){\unicdcdcdhd}(v1\_funct\_1~\\
(k4\_funct\_7~X0~X1)))\end{array}
\label{hyp:egehpflgedpfggfhogdgehpfhd}
\end{equation}
\begin{theorem}\label{thm:ehfdjdpfggfhogdgehpfhd}
$$\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  ((v1\_relat\_1~X1){\unicdcdcdhd}((v1\_funct\_1~X1){\unicdcdcdhd}((v1\_funcop\_1~\\
X1){\unicdcdcdhd}(v1\_finseq\_1~X1)))){\unicdbdjdcd}((X1{\unicdcdgdad}k1\_xboole\_0){\unicdbdjdcd}(r1\_tarski~(k10\_xtuple\_0~\\
(k4\_funct\_7~X0~X1))~(k7\_funct\_7~X1)))\end{array}$$
\end{theorem}
\end{document}
