\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}
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\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{l119\_fomodel0 (TMWRWKmk3YtwyyCjJ1zgKwcQpyziELShprx)}
\maketitle
Let $ v4\_funct\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_finset\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v5\_finset\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k21\_fomodel0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k3\_tarski : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v1\_relat\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k10\_xtuple\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k2\_xboole\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k1\_tarski : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k1\_xboole\_0 : {\iota}$ be given.
Let $ v1\_funct\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 : \iota{\unicdbdjdcd}\iota .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  (v1\_finset\_1~X2){\unicdbdjdcd}(\\
v1\_finset\_1~(ReplSep~(toset~({\uniddcgcg} X3 : \iota .  m1\_subset\_1~X3~X1))~(\\
{\uniddcgcg} X3 : \iota .  X3 \in X2)~({\uniddcgcg} X3 : \iota .  X0~X3)))\end{array}
\label{hyp:dhcdbdpfggchbgfgoglgfgmg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_finset\_1~X0){\unicdcdcdhd}(v5\_finset\_1~X0)){\unicdbdjdcd}(v1\_finset\_1~\\
(k3\_tarski~X0))\end{array}
\label{hyp:ggdgddedpfggjgogdhfgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_relat\_1~X0){\unicdcdcdhd}(v1\_finset\_1~X0)){\unicdbdjdcd}(v1\_finset\_1~\\
(k10\_xtuple\_0~X0))\end{array}
\label{hyp:ggdgcdcdpfggjgogdhfgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{({{v5\_finset\_1}~{X0}})}{\unicdbdjded}{({{\unicdcdadad} X1 .  {{({{X1} \in {X0}})}{\unicdbdjdcd}{({{v1\_finset\_1}~{X1}})}}})}}}\label{hyp:eggdpfggjgogdhfgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v4\_funct\_1~X0){\unicdbdjdcd}(k21\_fomodel0~X0=k3\_tarski~(ReplSep~\\
(toset~({\uniddcgcg} X1 : \iota .  m1\_subset\_1~X1~(k2\_xboole\_0~X0~(k1\_tarski~\\
k1\_xboole\_0))))~({\uniddcgcg} X1 : \iota .  X1 \in X0)~({\uniddcgcg} X1 : \iota .  k10\_xtuple\_0~\\
X1)))\end{array}
\label{hyp:egcdedpfggpgngpgegfgmgad}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v4\_funct\_1~X0){\unicdbdjded}({\unicdcdadad} X1 .  (X1 \in X0){\unicdbdjdcd}((v1\_relat\_1~\\
X1){\unicdcdcdhd}(v1\_funct\_1~X1)))\end{array}
\label{hyp:egbdddpfggfhogdgehpfbd}
\end{equation}
\begin{theorem}\label{thm:mgbdbdjdpfggpgngpgegfgmgad}
$$\begin{array}{c}{\unicdcdadad} X0 .  (v4\_funct\_1~X0){\unicdbdjdcd}(((v1\_finset\_1~X0){\unicdcdcdhd}(v5\_finset\_1~\\
X0)){\unicdbdjdcd}(v1\_finset\_1~(k21\_fomodel0~X0)))\end{array}$$
\end{theorem}
\end{document}
