\documentclass{article}
\newtheorem{axiom}{Axiom}
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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\unicdcdidid{\not\subseteq}
\newcommand\preoh[1]{\lnot #1}
\newcommand\mname[1]{{\mathsf{#1}}}
\begin{document}
\title{t14\_mesfunc3 (TMMW4yGTDFwHnKqKBKGJ8d5UtC8ctiy2HqL)}
\maketitle
Let $ v1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_prob\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ v4\_prob\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_zfmisc\_1 : {{\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.
Let $ k7\_numbers : {\iota}$ be given.
Let $ r1\_mesfunc2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ k1\_relset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ r1\_xxreal\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_supinf\_2 : {\iota}$ be given.
Let $ k12\_supinf\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ v1\_prob\_2 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ m2\_finseq\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ r1\_mesfunc3 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}}}$ be given.
Let $ np\_\_1 : {\iota}$ be given.
Let $ v7\_ordinal1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ np\_\_2 : {\iota}$ be given.
Let $ k4\_finseq\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k1\_supinf\_1 : {\iota}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v1\_xboole\_0~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  ((\preoh v1\_xboole\_0~X1){\unicdcdcdhd}\\
((v1\_prob\_1~X1~X0){\unicdcdcdhd}((v4\_prob\_1~X1~X0){\unicdcdcdhd}(m1\_subset\_1~X1~(k1\_zfmisc\_1~\\
(k1\_zfmisc\_1~X0)))))){\unicdbdjdcd}({\unicdcdadad} X2 .  ((v1\_funct\_1~X2){\unicdcdcdhd}(m1\_subset\_1~\\
X2~(k1\_zfmisc\_1~(k2\_zfmisc\_1~X0~k7\_numbers)))){\unicdbdjdcd}(\preoh (r1\_mesfunc2~\\
X0~X1~X2){\unicdcdcdhd}(({\unicdcdadad} X3 .  (X3 \in k1\_relset\_1~X0~X2){\unicdbdjdcd}(r1\_xxreal\_0~k1\_supinf\_2~\\
(k12\_supinf\_2~X2~X3))){\unicdcdcdhd}(({\unicdcdaddd} X3 .  (X3 \in k1\_relset\_1~X0~X2){\unicdcdcdhd}(\\
k1\_supinf\_2=k12\_supinf\_2~X2~X3)){\unicdcdcdhd}({\unicdcdadad} X3 .  ((v1\_prob\_2~X3){\unicdcdcdhd}\\
(m2\_finseq\_1~X3~X1)){\unicdbdjdcd}({\unicdcdadad} X4 .  (m2\_finseq\_1~X4~k7\_numbers){\unicdbdjdcd}\\
(\preoh (r1\_mesfunc3~X0~X1~X2~X3~X4){\unicdcdcdhd}((k12\_supinf\_2~X4~np\_\_1=k1\_supinf\_2){\unicdcdcdhd}\\
({\unicdcdadad} X5 .  (v7\_ordinal1~X5){\unicdbdjdcd}(((r1\_xxreal\_0~np\_\_2~X5){\unicdcdcdhd}(X5 \in k4\_finseq\_1~\\
X4)){\unicdbdjdcd}((\preoh r1\_xxreal\_0~(k12\_supinf\_2~X4~X5)~k1\_supinf\_2){\unicdcdcdhd}(\preoh r1\_xxreal\_0~\\
k1\_supinf\_1~(k12\_supinf\_2~X4~X5))))))))))))))\end{array}
\label{hyp:mgbdhdpfngfgdhggfhogdgdd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v1\_xboole\_0~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  ((\preoh v1\_xboole\_0~X1){\unicdcdcdhd}\\
((v1\_prob\_1~X1~X0){\unicdcdcdhd}((v4\_prob\_1~X1~X0){\unicdcdcdhd}(m1\_subset\_1~X1~(k1\_zfmisc\_1~\\
(k1\_zfmisc\_1~X0)))))){\unicdbdjdcd}({\unicdcdadad} X2 .  ((v1\_funct\_1~X2){\unicdcdcdhd}(m1\_subset\_1~\\
X2~(k1\_zfmisc\_1~(k2\_zfmisc\_1~X0~k7\_numbers)))){\unicdbdjdcd}(\preoh (r1\_mesfunc2~\\
X0~X1~X2){\unicdcdcdhd}(({\unicdcdadad} X3 .  (X3 \in k1\_relset\_1~X0~X2){\unicdbdjdcd}(r1\_xxreal\_0~k1\_supinf\_2~\\
(k12\_supinf\_2~X2~X3))){\unicdcdcdhd}(({\unicdcdadad} X3 .  \preoh (X3 \in k1\_relset\_1~X0~X2){\unicdcdcdhd}\\
(k1\_supinf\_2=k12\_supinf\_2~X2~X3)){\unicdcdcdhd}({\unicdcdadad} X3 .  ((v1\_prob\_2~X3){\unicdcdcdhd}\\
(m2\_finseq\_1~X3~X1)){\unicdbdjdcd}({\unicdcdadad} X4 .  (m2\_finseq\_1~X4~k7\_numbers){\unicdbdjdcd}\\
(\preoh (r1\_mesfunc3~X0~X1~X2~X3~X4){\unicdcdcdhd}((k12\_supinf\_2~X4~np\_\_1=k1\_supinf\_2){\unicdcdcdhd}\\
({\unicdcdadad} X5 .  (v7\_ordinal1~X5){\unicdbdjdcd}(((r1\_xxreal\_0~np\_\_2~X5){\unicdcdcdhd}(X5 \in k4\_finseq\_1~\\
X4)){\unicdbdjdcd}((\preoh r1\_xxreal\_0~(k12\_supinf\_2~X4~X5)~k1\_supinf\_2){\unicdcdcdhd}(\preoh r1\_xxreal\_0~\\
k1\_supinf\_1~(k12\_supinf\_2~X4~X5))))))))))))))\end{array}
\label{hyp:mgbdgdpfngfgdhggfhogdgdd}
\end{equation}
\begin{theorem}\label{thm:ehbdedpfngfgdhggfhogdgdd}
$$\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v1\_xboole\_0~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  ((\preoh v1\_xboole\_0~X1){\unicdcdcdhd}\\
((v1\_prob\_1~X1~X0){\unicdcdcdhd}((v4\_prob\_1~X1~X0){\unicdcdcdhd}(m1\_subset\_1~X1~(k1\_zfmisc\_1~\\
(k1\_zfmisc\_1~X0)))))){\unicdbdjdcd}({\unicdcdadad} X2 .  ((v1\_funct\_1~X2){\unicdcdcdhd}(m1\_subset\_1~\\
X2~(k1\_zfmisc\_1~(k2\_zfmisc\_1~X0~k7\_numbers)))){\unicdbdjdcd}(\preoh (r1\_mesfunc2~\\
X0~X1~X2){\unicdcdcdhd}(({\unicdcdadad} X3 .  (X3 \in k1\_relset\_1~X0~X2){\unicdbdjdcd}(r1\_xxreal\_0~k1\_supinf\_2~\\
(k12\_supinf\_2~X2~X3))){\unicdcdcdhd}({\unicdcdadad} X3 .  ((v1\_prob\_2~X3){\unicdcdcdhd}(m2\_finseq\_1~\\
X3~X1)){\unicdbdjdcd}({\unicdcdadad} X4 .  (m2\_finseq\_1~X4~k7\_numbers){\unicdbdjdcd}(\preoh (r1\_mesfunc3~\\
X0~X1~X2~X3~X4){\unicdcdcdhd}((k12\_supinf\_2~X4~np\_\_1=k1\_supinf\_2){\unicdcdcdhd}({\unicdcdadad} X5 .  \\
(v7\_ordinal1~X5){\unicdbdjdcd}(((r1\_xxreal\_0~np\_\_2~X5){\unicdcdcdhd}(X5 \in k4\_finseq\_1~X4)){\unicdbdjdcd}\\
((\preoh r1\_xxreal\_0~(k12\_supinf\_2~X4~X5)~k1\_supinf\_2){\unicdcdcdhd}(\preoh r1\_xxreal\_0~\\
k1\_supinf\_1~(k12\_supinf\_2~X4~X5)))))))))))))\end{array}$$
\end{theorem}
\end{document}
