\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\preoh[1]{\lnot #1}
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\begin{document}
\title{t114\_funct\_7 (TMUei6bUfMonWa48LMMd2z1TS2knJnEUzCt)}
\maketitle
Let $ v1\_relat\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_funct\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
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.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_relat\_1~X0){\unicdcdcdhd}(v1\_funct\_1~X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  {\unicdcdadad} X2 .  \\
k1\_funct\_1~(k1\_funct\_4~X0~(k16\_funcop\_1~X1~X2))~X1=X2)\end{array}
\label{hyp:ehjdedpfggfhogdgehpfhd}
\end{equation}
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}
\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}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (((v1\_relat\_1~X0){\unicdcdcdhd}(v1\_funct\_1~X0)){\unicdcdcdhd}((\\
v1\_relat\_1~X1){\unicdcdcdhd}(v1\_funct\_1~X1))){\unicdbdjdcd}((v1\_relat\_1~(k1\_funct\_4~X0~\\
X1)){\unicdcdcdhd}(v1\_funct\_1~(k1\_funct\_4~X0~X1)))\end{array}
\label{hyp:egehpflgbdpfggfhogdgehpfed}
\end{equation}
\begin{theorem}\label{thm:ehbdbdedpfggfhogdgehpfhd}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_relat\_1~X0){\unicdcdcdhd}(v1\_funct\_1~X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  {\unicdcdadad} X2 .  \\
{\unicdcdadad} X3 .  {\unicdcdadad} X4 .  {\unicdcdadad} X5 .  {\unicdcdadad} X6 .  \preoh (X1{\unicdcdgdad}X3){\unicdcdcdhd}((X1{\unicdcdgdad}X5){\unicdcdcdhd}\\
(k1\_funct\_1~(k1\_funct\_4~(k1\_funct\_4~(k1\_funct\_4~X0~(k16\_funcop\_1~\\
X1~X2))~(k16\_funcop\_1~X3~X4))~(k16\_funcop\_1~X5~X6))~X1{\unicdcdgdad}X2)))\end{array}$$
\end{theorem}
\end{document}
