\documentclass{article}
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\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\preoh[1]{\lnot #1}
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\begin{document}
\title{t61\_comput\_1 (TMFzzWQqFBqhET67HTH5UVwcmTVZix6E6ne)}
\maketitle
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k5\_numbers : {\iota}$ be given.
Let $ v1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_relat\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v4\_relat\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k3\_finseq\_2 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v1\_funct\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v4\_valued\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v2\_margrel1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ m2\_finseq\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ k4\_finseq\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k2\_nat\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k19\_margrel1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ np\_\_1 : {\iota}$ be given.
Let $ k4\_finseq\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k8\_comput\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}}$ be given.
Let $ k1\_relset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k7\_comput\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k8\_finseq\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k12\_finseq\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k1\_recdef\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k6\_numbers : {\iota}$ be given.
Let $ k2\_finseq\_3 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m1\_subset\_1~X0~k5\_numbers){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~\\
X1~k5\_numbers){\unicdbdjdcd}({\unicdcdadad} X2 .  ((\preoh v1\_xboole\_0~X2){\unicdcdcdhd}((v1\_relat\_1~\\
X2){\unicdcdcdhd}((v4\_relat\_1~X2~(k3\_finseq\_2~k5\_numbers)){\unicdcdcdhd}((v1\_funct\_1~\\
X2){\unicdcdcdhd}((v4\_valued\_0~X2){\unicdcdcdhd}(v2\_margrel1~X2)))))){\unicdbdjdcd}({\unicdcdadad} X3 .  ((\\
\preoh v1\_xboole\_0~X3){\unicdcdcdhd}((v1\_relat\_1~X3){\unicdcdcdhd}((v4\_relat\_1~X3~(k3\_finseq\_2~\\
k5\_numbers)){\unicdcdcdhd}((v1\_funct\_1~X3){\unicdcdcdhd}((v4\_valued\_0~X3){\unicdcdcdhd}(v2\_margrel1~\\
X3)))))){\unicdbdjdcd}({\unicdcdadad} X4 .  (m2\_finseq\_2~X4~k5\_numbers~(k4\_finseq\_2~\\
(k2\_nat\_1~(k19\_margrel1~X2)~np\_\_1)~k5\_numbers)){\unicdbdjdcd}((X0 \in k4\_finseq\_1~\\
X4){\unicdbdjdcd}(((k8\_comput\_1~(k2\_nat\_1~(k19\_margrel1~X2)~np\_\_1)~X4~X0~k6\_numbers \in \\
k1\_relset\_1~(k3\_finseq\_2~k5\_numbers)~(k7\_comput\_1~X2~X3~X0)){\unicdbdjdcd}\\
(k2\_finseq\_3~X0~X4 \in k1\_relset\_1~(k3\_finseq\_2~k5\_numbers)~X2)){\unicdcdcdhd}\\
(((k2\_finseq\_3~X0~X4 \in k1\_relset\_1~(k3\_finseq\_2~k5\_numbers)~X2){\unicdbdjdcd}\\
(k8\_comput\_1~(k2\_nat\_1~(k19\_margrel1~X2)~np\_\_1)~X4~X0~k6\_numbers \in \\
k1\_relset\_1~(k3\_finseq\_2~k5\_numbers)~(k7\_comput\_1~X2~X3~X0))){\unicdcdcdhd}\\
(((k8\_comput\_1~(k2\_nat\_1~(k19\_margrel1~X2)~np\_\_1)~X4~X0~k6\_numbers \in \\
k1\_relset\_1~(k3\_finseq\_2~k5\_numbers)~(k7\_comput\_1~X2~X3~X0)){\unicdbdjdcd}\\
(k1\_recdef\_1~(k7\_comput\_1~X2~X3~X0)~(k8\_comput\_1~(k2\_nat\_1~(k19\_margrel1~\\
X2)~np\_\_1)~X4~X0~k6\_numbers)=k1\_recdef\_1~X2~(k2\_finseq\_3~X0~X4))){\unicdcdcdhd}\\
(((k8\_comput\_1~(k2\_nat\_1~(k19\_margrel1~X2)~np\_\_1)~X4~X0~(k2\_nat\_1~\\
X1~np\_\_1) \in k1\_relset\_1~(k3\_finseq\_2~k5\_numbers)~(k7\_comput\_1~\\
X2~X3~X0)){\unicdbdjdcd}((k8\_comput\_1~(k2\_nat\_1~(k19\_margrel1~X2)~np\_\_1)~X4~\\
X0~X1 \in k1\_relset\_1~(k3\_finseq\_2~k5\_numbers)~(k7\_comput\_1~X2~X3~\\
X0)){\unicdcdcdhd}(k8\_finseq\_1~k5\_numbers~(k8\_comput\_1~(k2\_nat\_1~(k19\_margrel1~\\
X2)~np\_\_1)~X4~X0~X1)~(k12\_finseq\_1~k5\_numbers~(k1\_recdef\_1~(k7\_comput\_1~\\
X2~X3~X0)~(k8\_comput\_1~(k2\_nat\_1~(k19\_margrel1~X2)~np\_\_1)~X4~X0~X1))) \in \\
k1\_relset\_1~(k3\_finseq\_2~k5\_numbers)~X3))){\unicdcdcdhd}((((k8\_comput\_1~\\
(k2\_nat\_1~(k19\_margrel1~X2)~np\_\_1)~X4~X0~X1 \in k1\_relset\_1~(k3\_finseq\_2~\\
k5\_numbers)~(k7\_comput\_1~X2~X3~X0)){\unicdcdcdhd}(k8\_finseq\_1~k5\_numbers~(\\
k8\_comput\_1~(k2\_nat\_1~(k19\_margrel1~X2)~np\_\_1)~X4~X0~X1)~(k12\_finseq\_1~\\
k5\_numbers~(k1\_recdef\_1~(k7\_comput\_1~X2~X3~X0)~(k8\_comput\_1~(k2\_nat\_1~\\
(k19\_margrel1~X2)~np\_\_1)~X4~X0~X1))) \in k1\_relset\_1~(k3\_finseq\_2~\\
k5\_numbers)~X3)){\unicdbdjdcd}(k8\_comput\_1~(k2\_nat\_1~(k19\_margrel1~X2)~np\_\_1)~\\
X4~X0~(k2\_nat\_1~X1~np\_\_1) \in k1\_relset\_1~(k3\_finseq\_2~k5\_numbers)~\\
(k7\_comput\_1~X2~X3~X0))){\unicdcdcdhd}((k8\_comput\_1~(k2\_nat\_1~(k19\_margrel1~\\
X2)~np\_\_1)~X4~X0~(k2\_nat\_1~X1~np\_\_1) \in k1\_relset\_1~(k3\_finseq\_2~k5\_numbers)~\\
(k7\_comput\_1~X2~X3~X0)){\unicdbdjdcd}(k1\_recdef\_1~(k7\_comput\_1~X2~X3~X0)~(k8\_comput\_1~\\
(k2\_nat\_1~(k19\_margrel1~X2)~np\_\_1)~X4~X0~(k2\_nat\_1~X1~np\_\_1))=k1\_recdef\_1~\\
X3~(k8\_finseq\_1~k5\_numbers~(k8\_comput\_1~(k2\_nat\_1~(k19\_margrel1~\\
X2)~np\_\_1)~X4~X0~X1)~(k12\_finseq\_1~k5\_numbers~(k1\_recdef\_1~(k7\_comput\_1~\\
X2~X3~X0)~(k8\_comput\_1~(k2\_nat\_1~(k19\_margrel1~X2)~np\_\_1)~X4~X0~X1))))))))))))))))\end{array}
\label{hyp:mghdedpfdgpgngahfhehpfbd}
\end{equation}
\begin{theorem}\label{thm:ehgdbdpfdgpgngahfhehpfbd}
$$\begin{array}{c}{\unicdcdadad} X0 .  (m1\_subset\_1~X0~k5\_numbers){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~\\
X1~k5\_numbers){\unicdbdjdcd}({\unicdcdadad} X2 .  ((\preoh v1\_xboole\_0~X2){\unicdcdcdhd}((v1\_relat\_1~\\
X2){\unicdcdcdhd}((v4\_relat\_1~X2~(k3\_finseq\_2~k5\_numbers)){\unicdcdcdhd}((v1\_funct\_1~\\
X2){\unicdcdcdhd}((v4\_valued\_0~X2){\unicdcdcdhd}(v2\_margrel1~X2)))))){\unicdbdjdcd}({\unicdcdadad} X3 .  ((\\
\preoh v1\_xboole\_0~X3){\unicdcdcdhd}((v1\_relat\_1~X3){\unicdcdcdhd}((v4\_relat\_1~X3~(k3\_finseq\_2~\\
k5\_numbers)){\unicdcdcdhd}((v1\_funct\_1~X3){\unicdcdcdhd}((v4\_valued\_0~X3){\unicdcdcdhd}(v2\_margrel1~\\
X3)))))){\unicdbdjdcd}({\unicdcdadad} X4 .  (m2\_finseq\_2~X4~k5\_numbers~(k4\_finseq\_2~\\
(k2\_nat\_1~(k19\_margrel1~X2)~np\_\_1)~k5\_numbers)){\unicdbdjdcd}((X0 \in k4\_finseq\_1~\\
X4){\unicdbdjdcd}((k8\_comput\_1~(k2\_nat\_1~(k19\_margrel1~X2)~np\_\_1)~X4~X0~(k2\_nat\_1~\\
X1~np\_\_1) \in k1\_relset\_1~(k3\_finseq\_2~k5\_numbers)~(k7\_comput\_1~\\
X2~X3~X0)){\unicdbdjded}((k8\_comput\_1~(k2\_nat\_1~(k19\_margrel1~X2)~np\_\_1)~X4~\\
X0~X1 \in k1\_relset\_1~(k3\_finseq\_2~k5\_numbers)~(k7\_comput\_1~X2~X3~\\
X0)){\unicdcdcdhd}(k8\_finseq\_1~k5\_numbers~(k8\_comput\_1~(k2\_nat\_1~(k19\_margrel1~\\
X2)~np\_\_1)~X4~X0~X1)~(k12\_finseq\_1~k5\_numbers~(k1\_recdef\_1~(k7\_comput\_1~\\
X2~X3~X0)~(k8\_comput\_1~(k2\_nat\_1~(k19\_margrel1~X2)~np\_\_1)~X4~X0~X1))) \in \\
k1\_relset\_1~(k3\_finseq\_2~k5\_numbers)~X3))))))))\end{array}$$
\end{theorem}
\end{document}
