\documentclass{article}
\newtheorem{axiom}{Axiom}
\newtheorem{theorem}{Theorem}
\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}
\newcommand\unicdcdadad{\forall}
\newcommand\unicdbdjdcd{\Rightarrow}
\newcommand\unicdcdadjd{\notin}
\newcommand\unicdbdjded{\Leftrightarrow}
\newcommand\unicdcdcdid{\lor}
\newcommand\unicdcdcdhd{\land}
\newcommand\uniddcgcg{\lambda}
\newcommand\unicdcdaddd{\exists}
\newcommand\unicdcdidid{\not\subseteq}
\newcommand\preoh[1]{\lnot #1}
\newcommand\mname[1]{{\mathsf{#1}}}
\begin{document}
\title{t14\_abcmiz\_a (TMZeRqvJT58rPp6K4bDvkTnGvtnTkSkk2ic)}
\maketitle
Let $ v1\_instalg1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_abcmiz\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v3\_abcmiz\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_abcmiz\_a : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ l1\_msualg\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k3\_card\_3 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ u3\_msualg\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k1\_msafree3 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k28\_abcmiz\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k1\_xtuple\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k1\_funct\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k1\_xboole\_0 : {\iota}$ be given.
Let $ k2\_abcmiz\_1 : {\iota}$ be given.
Let $ k2\_xtuple\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k8\_abcmiz\_1 : {\iota}$ be given.
Let $ m1\_abcmiz\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ k14\_abcmiz\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ u1\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k20\_abcmiz\_1 : {\iota}$ be given.
Let $ u4\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k9\_abcmiz\_1 : {\iota}$ be given.
Let $ k10\_abcmiz\_1 : {\iota}$ be given.
Let $ k4\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ v1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k34\_abcmiz\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k35\_abcmiz\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k6\_numbers : {\iota}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (k1\_xtuple\_0~(k4\_tarski~X0~X1)=X0){\unicdcdcdhd}(k2\_xtuple\_0~\\
(k4\_tarski~X0~X1)=X1)\end{array}
\label{hyp:ehhdpfngdgbgchehpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{({{v1\_xboole\_0}~{X0}})}{\unicdbdjdcd}{({{X0}={k1\_xboole\_0}})}}}\label{hyp:ehgdpfcgpgpgmgfg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  ((v1\_instalg1~X1){\unicdcdcdhd}((v1\_abcmiz\_1~X1){\unicdcdcdhd}(\\
(v3\_abcmiz\_1~X1){\unicdcdcdhd}(l1\_msualg\_1~X1)))){\unicdbdjdcd}((m1\_abcmiz\_1~X0~X1~(k14\_abcmiz\_1~\\
X1)){\unicdbdjded}(X0 \in k34\_abcmiz\_1~X1))\end{array}
\label{hyp:ehedjdpfbgcgdgngjgkhpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_instalg1~X0){\unicdcdcdhd}((v1\_abcmiz\_1~X0){\unicdcdcdhd}((v3\_abcmiz\_1~\\
X0){\unicdcdcdhd}((v1\_abcmiz\_a~X0){\unicdcdcdhd}(l1\_msualg\_1~X0))))){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~\\
X1~(k3\_card\_3~(u3\_msualg\_1~X0~(k1\_msafree3~X0~(k28\_abcmiz\_1~X0))))){\unicdbdjdcd}\\
(\preoh ({\unicdcdadad} X2 .  (m1\_subset\_1~X2~k2\_abcmiz\_1){\unicdbdjdcd}(\preoh (X1=k35\_abcmiz\_1~\\
X2~X0){\unicdcdcdhd}(k1\_funct\_1~X1~k1\_xboole\_0=k4\_tarski~X2~k8\_abcmiz\_1))){\unicdcdcdhd}\\
({\unicdcdadad} X2 .  (m1\_subset\_1~X2~(u4\_struct\_0~X0)){\unicdbdjdcd}(\preoh (k1\_funct\_1~\\
X1~k1\_xboole\_0=k4\_tarski~X2~(u1\_struct\_0~X0)){\unicdcdcdhd}(\preoh (\preoh X2 \in k20\_abcmiz\_1){\unicdcdcdhd}\\
((X2{\unicdcdgdad}k9\_abcmiz\_1){\unicdcdcdhd}(X2{\unicdcdgdad}k10\_abcmiz\_1)))))))\end{array}
\label{hyp:ehbdbdpfbgcgdgngjgkhpfbg}
\end{equation}
Assume the following.
\begin{equation}
{{k6\_numbers}={k1\_xboole\_0}}\label{hyp:chfgegfgggjgogjgehjgpgogpflggdpfogfhngcgfgchdh}
\end{equation}
Assume the following.
\begin{equation}
{\preoh{{{v1\_xboole\_0}~{k2\_abcmiz\_1}}}}\label{hyp:ggdgcdpfbgcgdgngjgkhpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  ((m1\_subset\_1~X0~k2\_abcmiz\_1){\unicdcdcdhd}((v1\_instalg1~\\
X1){\unicdcdcdhd}((v1\_abcmiz\_1~X1){\unicdcdcdhd}((v3\_abcmiz\_1~X1){\unicdcdcdhd}(l1\_msualg\_1~X1))))){\unicdbdjdcd}\\
(m1\_abcmiz\_1~(k35\_abcmiz\_1~X0~X1)~X1~(k14\_abcmiz\_1~X1))\end{array}
\label{hyp:egehpflgddfdpfbgcgdgngjgkhpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{k9\_abcmiz\_1}={k6\_numbers}}\label{hyp:eghdpfbgcgdgngjgkhpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  ((\preoh v1\_xboole\_0~X0){\unicdbdjdcd}((m1\_subset\_1~X1~X0){\unicdbdjded}\\
(X1 \in X0))){\unicdcdcdhd}((v1\_xboole\_0~X0){\unicdbdjdcd}((m1\_subset\_1~X1~X0){\unicdbdjded}(v1\_xboole\_0~\\
X1)))\end{array}
\label{hyp:egbdpfdhfhcgdhfgehpfbd}
\end{equation}
\begin{theorem}\label{thm:ehbdedpfbgcgdgngjgkhpfbg}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_instalg1~X0){\unicdcdcdhd}((v1\_abcmiz\_1~X0){\unicdcdcdhd}((v3\_abcmiz\_1~\\
X0){\unicdcdcdhd}((v1\_abcmiz\_a~X0){\unicdcdcdhd}(l1\_msualg\_1~X0))))){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~\\
X1~(k3\_card\_3~(u3\_msualg\_1~X0~(k1\_msafree3~X0~(k28\_abcmiz\_1~X0))))){\unicdbdjdcd}\\
(((k1\_xtuple\_0~(k1\_funct\_1~X1~k1\_xboole\_0) \in k2\_abcmiz\_1){\unicdcdcdhd}((\\
k2\_xtuple\_0~(k1\_funct\_1~X1~k1\_xboole\_0)=k8\_abcmiz\_1){\unicdcdcdhd}(m1\_abcmiz\_1~\\
X1~X0~(k14\_abcmiz\_1~X0)))){\unicdcdcdid}((k2\_xtuple\_0~(k1\_funct\_1~X1~k1\_xboole\_0)=\\
u1\_struct\_0~X0){\unicdcdcdhd}(\preoh (\preoh (k1\_xtuple\_0~(k1\_funct\_1~X1~k1\_xboole\_0) \in \\
k20\_abcmiz\_1){\unicdcdcdhd}(k1\_xtuple\_0~(k1\_funct\_1~X1~k1\_xboole\_0) \in u4\_struct\_0~\\
X0)){\unicdcdcdhd}((k1\_xtuple\_0~(k1\_funct\_1~X1~k1\_xboole\_0){\unicdcdgdad}k9\_abcmiz\_1){\unicdcdcdhd}\\
(k1\_xtuple\_0~(k1\_funct\_1~X1~k1\_xboole\_0){\unicdcdgdad}k10\_abcmiz\_1))))))\end{array}$$
\end{theorem}
\end{document}
