\documentclass{article}
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\newtheorem{conjecture}{Conjecture}
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\newcommand\preoh[1]{\lnot #1}
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\begin{document}
\title{t5\_jordan4 (TMP4k9NPZve582Xu55oSfzBhKQDpcWdTNqJ)}
\maketitle
Let $ v1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ m2\_finseq\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ v1\_finseq\_6 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ r1\_xxreal\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ np\_\_1 : {\iota}$ be given.
Let $ k3\_finseq\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k1\_funct\_1 : {{\iota}{\unicdbdjdcd}{{\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 $ k7\_partfun1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k2\_nat\_1 : {{\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 .  {\unicdcdadad} X2 .  (m2\_finseq\_1~\\
X2~X0){\unicdbdjdcd}((r1\_xxreal\_0~np\_\_1~(k3\_finseq\_1~X2)){\unicdbdjdcd}((k1\_funct\_1~(k7\_finseq\_1~\\
X2~(k9\_finseq\_1~X1))~np\_\_1=k1\_funct\_1~X2~np\_\_1){\unicdcdcdhd}((k1\_funct\_1~\\
(k7\_finseq\_1~X2~(k9\_finseq\_1~X1))~np\_\_1=k7\_partfun1~X0~X2~np\_\_1){\unicdcdcdhd}\\
((k1\_funct\_1~(k7\_finseq\_1~(k9\_finseq\_1~X1)~X2)~(k2\_nat\_1~(k3\_finseq\_1~\\
X2)~np\_\_1)=k1\_funct\_1~X2~(k3\_finseq\_1~X2)){\unicdcdcdhd}(k1\_funct\_1~(k7\_finseq\_1~\\
(k9\_finseq\_1~X1)~X2)~(k2\_nat\_1~(k3\_finseq\_1~X2)~np\_\_1)=k7\_partfun1~\\
X0~X2~(k3\_finseq\_1~X2)))))))\end{array}
\label{hyp:ehbdadjdpfggjgogdhfgbhpfgd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v1\_xboole\_0~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (m2\_finseq\_1~X1~X0){\unicdbdjdcd}\\
((v1\_finseq\_6~X1~X0){\unicdbdjded}(k7\_partfun1~X0~X1~np\_\_1=k7\_partfun1~X0~X1~\\
(k3\_finseq\_1~X1))))\end{array}
\label{hyp:egbdpfggjgogdhfgbhpfgd}
\end{equation}
\begin{theorem}\label{thm:ehfdpfkgpgchegbgoged}
$$\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v1\_xboole\_0~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (m2\_finseq\_1~X1~X0){\unicdbdjdcd}\\
(((v1\_finseq\_6~X1~X0){\unicdcdcdhd}(r1\_xxreal\_0~np\_\_1~(k3\_finseq\_1~X1))){\unicdbdjdcd}\\
(k1\_funct\_1~X1~np\_\_1=k1\_funct\_1~X1~(k3\_finseq\_1~X1))))\end{array}$$
\end{theorem}
\end{document}
