\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{t85\_zf\_lang (TMXXL9NnKi24h6FKQo9arQZ1oyjvKLkdeZY)}
\maketitle
Let $ v1\_zf\_lang : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ m2\_finseq\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k5\_numbers : {\iota}$ be given.
Let $ v7\_zf\_lang : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k29\_zf\_lang : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k1\_tarski : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ r2\_zf\_lang : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ r1\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ v5\_zf\_lang : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ r3\_zf\_lang : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k21\_zf\_lang : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k22\_zf\_lang : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v4\_zf\_lang : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k20\_zf\_lang : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ r1\_zf\_lang : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ r1\_xxreal\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k3\_finseq\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v2\_zf\_lang : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ m2\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ k1\_zf\_lang : {\iota}$ be given.
Let $ k4\_zf\_lang : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ v3\_zf\_lang : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k5\_zf\_lang : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k6\_zf\_lang : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k7\_zf\_lang : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ v6\_zf\_lang : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k8\_zf\_lang : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k2\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ np\_\_3 : {\iota}$ be given.
Let $ m1\_finseq\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_zf\_lang~X0){\unicdcdcdhd}(m2\_finseq\_1~X0~k5\_numbers)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
((v1\_zf\_lang~X1){\unicdcdcdhd}(m2\_finseq\_1~X1~k5\_numbers)){\unicdbdjdcd}((r2\_zf\_lang~\\
X0~X1){\unicdbdjdcd}(r1\_tarski~(k29\_zf\_lang~X0)~(k29\_zf\_lang~X1))))\end{array}
\label{hyp:ehhdjdpfkhggpfmgbgoghg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_zf\_lang~X0){\unicdcdcdhd}(m2\_finseq\_1~X0~k5\_numbers)){\unicdbdjdcd}((\\
v5\_zf\_lang~X0){\unicdbdjdcd}((r3\_zf\_lang~(k21\_zf\_lang~X0)~X0){\unicdcdcdhd}(r3\_zf\_lang~\\
(k22\_zf\_lang~X0)~X0)))\end{array}
\label{hyp:ehhdedpfkhggpfmgbgoghg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_zf\_lang~X0){\unicdcdcdhd}(m2\_finseq\_1~X0~k5\_numbers)){\unicdbdjdcd}((\\
v4\_zf\_lang~X0){\unicdbdjdcd}(r3\_zf\_lang~(k20\_zf\_lang~X0)~X0))\end{array}
\label{hyp:ehhdddpfkhggpfmgbgoghg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_zf\_lang~X0){\unicdcdcdhd}(m2\_finseq\_1~X0~k5\_numbers)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
((v1\_zf\_lang~X1){\unicdcdcdhd}(m2\_finseq\_1~X1~k5\_numbers)){\unicdbdjdcd}(\preoh (v7\_zf\_lang~\\
X0){\unicdcdcdhd}(r3\_zf\_lang~X1~X0)))\end{array}
\label{hyp:ehhdcdpfkhggpfmgbgoghg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_zf\_lang~X0){\unicdcdcdhd}(m2\_finseq\_1~X0~k5\_numbers)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
((v1\_zf\_lang~X1){\unicdcdcdhd}(m2\_finseq\_1~X1~k5\_numbers)){\unicdbdjdcd}(\preoh (r3\_zf\_lang~\\
X0~X1){\unicdcdcdhd}({\unicdcdadad} X2 .  ((v1\_zf\_lang~X2){\unicdcdcdhd}(m2\_finseq\_1~X2~k5\_numbers)){\unicdbdjdcd}\\
(\preoh r1\_zf\_lang~X2~X1))))\end{array}
\label{hyp:ehgdddpfkhggpfmgbgoghg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_zf\_lang~X0){\unicdcdcdhd}(m2\_finseq\_1~X0~k5\_numbers)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
((v1\_zf\_lang~X1){\unicdcdcdhd}(m2\_finseq\_1~X1~k5\_numbers)){\unicdbdjdcd}((r1\_zf\_lang~\\
X0~X1){\unicdbdjdcd}(r3\_zf\_lang~X0~X1)))\end{array}
\label{hyp:ehgdbdpfkhggpfmgbgoghg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_zf\_lang~X0){\unicdcdcdhd}(m2\_finseq\_1~X0~k5\_numbers)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
((v1\_zf\_lang~X1){\unicdcdcdhd}(m2\_finseq\_1~X1~k5\_numbers)){\unicdbdjdcd}(\preoh (r1\_zf\_lang~\\
X0~X1){\unicdcdcdhd}(r1\_xxreal\_0~(k3\_finseq\_1~X1)~(k3\_finseq\_1~X0))))\end{array}
\label{hyp:ehgdadpfkhggpfmgbgoghg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_zf\_lang~X0){\unicdcdcdhd}(m2\_finseq\_1~X0~k5\_numbers)){\unicdbdjdcd}((\\
\preoh (v2\_zf\_lang~X0){\unicdcdcdhd}({\unicdcdadad} X1 .  (m2\_subset\_1~X1~k5\_numbers~k1\_zf\_lang){\unicdbdjdcd}\\
({\unicdcdadad} X2 .  (m2\_subset\_1~X2~k5\_numbers~k1\_zf\_lang){\unicdbdjdcd}(X0{\unicdcdgdad}k4\_zf\_lang~\\
X1~X2)))){\unicdcdcdhd}((({\unicdcdaddd} X1 .  (m2\_subset\_1~X1~k5\_numbers~k1\_zf\_lang){\unicdcdcdhd}\\
({\unicdcdaddd} X2 .  (m2\_subset\_1~X2~k5\_numbers~k1\_zf\_lang){\unicdcdcdhd}(X0=k4\_zf\_lang~\\
X1~X2))){\unicdbdjdcd}(v2\_zf\_lang~X0)){\unicdcdcdhd}((\preoh (v3\_zf\_lang~X0){\unicdcdcdhd}({\unicdcdadad} X1 .  (m2\_subset\_1~\\
X1~k5\_numbers~k1\_zf\_lang){\unicdbdjdcd}({\unicdcdadad} X2 .  (m2\_subset\_1~X2~k5\_numbers~\\
k1\_zf\_lang){\unicdbdjdcd}(X0{\unicdcdgdad}k5\_zf\_lang~X1~X2)))){\unicdcdcdhd}((({\unicdcdaddd} X1 .  (m2\_subset\_1~\\
X1~k5\_numbers~k1\_zf\_lang){\unicdcdcdhd}({\unicdcdaddd} X2 .  (m2\_subset\_1~X2~k5\_numbers~\\
k1\_zf\_lang){\unicdcdcdhd}(X0=k5\_zf\_lang~X1~X2))){\unicdbdjdcd}(v3\_zf\_lang~X0)){\unicdcdcdhd}((\preoh (v4\_zf\_lang~\\
X0){\unicdcdcdhd}({\unicdcdadad} X1 .  ((v1\_zf\_lang~X1){\unicdcdcdhd}(m2\_finseq\_1~X1~k5\_numbers)){\unicdbdjdcd}\\
(X0{\unicdcdgdad}k6\_zf\_lang~X1))){\unicdcdcdhd}((({\unicdcdaddd} X1 .  ((v1\_zf\_lang~X1){\unicdcdcdhd}(m2\_finseq\_1~\\
X1~k5\_numbers)){\unicdcdcdhd}(X0=k6\_zf\_lang~X1)){\unicdbdjdcd}(v4\_zf\_lang~X0)){\unicdcdcdhd}((\preoh (v5\_zf\_lang~\\
X0){\unicdcdcdhd}({\unicdcdadad} X1 .  ((v1\_zf\_lang~X1){\unicdcdcdhd}(m2\_finseq\_1~X1~k5\_numbers)){\unicdbdjdcd}\\
({\unicdcdadad} X2 .  ((v1\_zf\_lang~X2){\unicdcdcdhd}(m2\_finseq\_1~X2~k5\_numbers)){\unicdbdjdcd}(\\
X0{\unicdcdgdad}k7\_zf\_lang~X1~X2)))){\unicdcdcdhd}((({\unicdcdaddd} X1 .  ((v1\_zf\_lang~X1){\unicdcdcdhd}(m2\_finseq\_1~\\
X1~k5\_numbers)){\unicdcdcdhd}({\unicdcdaddd} X2 .  ((v1\_zf\_lang~X2){\unicdcdcdhd}(m2\_finseq\_1~X2~\\
k5\_numbers)){\unicdcdcdhd}(X0=k7\_zf\_lang~X1~X2))){\unicdbdjdcd}(v5\_zf\_lang~X0)){\unicdcdcdhd}((\preoh (\\
v6\_zf\_lang~X0){\unicdcdcdhd}({\unicdcdadad} X1 .  (m2\_subset\_1~X1~k5\_numbers~k1\_zf\_lang){\unicdbdjdcd}\\
({\unicdcdadad} X2 .  ((v1\_zf\_lang~X2){\unicdcdcdhd}(m2\_finseq\_1~X2~k5\_numbers)){\unicdbdjdcd}(\\
X0{\unicdcdgdad}k8\_zf\_lang~X1~X2)))){\unicdcdcdhd}(({\unicdcdaddd} X1 .  (m2\_subset\_1~X1~k5\_numbers~\\
k1\_zf\_lang){\unicdcdcdhd}({\unicdcdaddd} X2 .  ((v1\_zf\_lang~X2){\unicdcdcdhd}(m2\_finseq\_1~X2~k5\_numbers)){\unicdcdcdhd}\\
(X0=k8\_zf\_lang~X1~X2))){\unicdbdjdcd}(v6\_zf\_lang~X0)))))))))))\end{array}
\label{hyp:ehfdpfkhggpfmgbgoghg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_zf\_lang~X0){\unicdcdcdhd}(m2\_finseq\_1~X0~k5\_numbers)){\unicdbdjdcd}(r2\_zf\_lang~\\
X0~X0)\end{array}
\label{hyp:ehfdjdpfkhggpfmgbgoghg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_zf\_lang~X0){\unicdcdcdhd}(m2\_finseq\_1~X0~k5\_numbers)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
((v1\_zf\_lang~X1){\unicdcdcdhd}(m2\_finseq\_1~X1~k5\_numbers)){\unicdbdjdcd}(\preoh (v7\_zf\_lang~\\
X0){\unicdcdcdhd}(r1\_zf\_lang~X1~X0)))\end{array}
\label{hyp:ehfdfdpfkhggpfmgbgoghg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_zf\_lang~X0){\unicdcdcdhd}(m2\_finseq\_1~X0~k5\_numbers)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
((v1\_zf\_lang~X1){\unicdcdcdhd}(m2\_finseq\_1~X1~k5\_numbers)){\unicdbdjdcd}((r1\_zf\_lang~\\
X0~(k6\_zf\_lang~X1)){\unicdbdjded}(X0=X1)))\end{array}
\label{hyp:ehfdcdpfkhggpfmgbgoghg}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{{{k2\_tarski}~{X0}}~{X0}}={{k1\_tarski}~{X0}}}}\label{hyp:ehcdjdpffgogfhngdhfgehbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_zf\_lang~X0){\unicdcdcdhd}(m2\_finseq\_1~X0~k5\_numbers)){\unicdbdjdcd}((\\
k3\_finseq\_1~X0=np\_\_3){\unicdbdjdcd}(v7\_zf\_lang~X0))\end{array}
\label{hyp:ehbdedpfkhggpfmgbgoghg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_zf\_lang~X0){\unicdcdcdhd}(m2\_finseq\_1~X0~k5\_numbers)){\unicdbdjdcd}(r1\_xxreal\_0~\\
np\_\_3~(k3\_finseq\_1~X0))\end{array}
\label{hyp:ehbdddpfkhggpfmgbgoghg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_zf\_lang~X0){\unicdcdcdhd}(m2\_finseq\_1~X0~k5\_numbers)){\unicdbdjdcd}((\\
v7\_zf\_lang~X0){\unicdbdjdcd}(k3\_finseq\_1~X0=np\_\_3))\end{array}
\label{hyp:ehbdbdpfkhggpfmgbgoghg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_zf\_lang~X0){\unicdcdcdhd}(m2\_finseq\_1~X0~k5\_numbers)){\unicdbdjdcd}(\preoh \\
(\preoh v7\_zf\_lang~X0){\unicdcdcdhd}((\preoh v4\_zf\_lang~X0){\unicdcdcdhd}((\preoh v5\_zf\_lang~X0){\unicdcdcdhd}(\preoh v6\_zf\_lang~\\
X0))))\end{array}
\label{hyp:ehbdadpfkhggpfmgbgoghg}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{\unicdcdadad} X1 .  {{({{{m2\_finseq\_1}~{X1}}~{X0}})}{\unicdbdjded}{({{{m1\_finseq\_1}~{X1}}~{X0}})}}}}\label{hyp:chfgegfgggjgogjgehjgpgogpfngcdpfggjgogdhfgbhpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_zf\_lang~X0){\unicdcdcdhd}(m1\_finseq\_1~X0~k5\_numbers)){\unicdbdjdcd}((\\
v1\_zf\_lang~(k22\_zf\_lang~X0)){\unicdcdcdhd}(m2\_finseq\_1~(k22\_zf\_lang~X0)~k5\_numbers))\end{array}
\label{hyp:egehpflgcdcdpfkhggpfmgbgoghg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_zf\_lang~X0){\unicdcdcdhd}(m1\_finseq\_1~X0~k5\_numbers)){\unicdbdjdcd}((\\
v1\_zf\_lang~(k21\_zf\_lang~X0)){\unicdcdcdhd}(m2\_finseq\_1~(k21\_zf\_lang~X0)~k5\_numbers))\end{array}
\label{hyp:egehpflgcdbdpfkhggpfmgbgoghg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_zf\_lang~X0){\unicdcdcdhd}(m1\_finseq\_1~X0~k5\_numbers)){\unicdbdjdcd}((\\
v1\_zf\_lang~(k20\_zf\_lang~X0)){\unicdcdcdhd}(m2\_finseq\_1~(k20\_zf\_lang~X0)~k5\_numbers))\end{array}
\label{hyp:egehpflgcdadpfkhggpfmgbgoghg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_zf\_lang~X0){\unicdcdcdhd}(m2\_finseq\_1~X0~k5\_numbers)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
(X1=k29\_zf\_lang~X0){\unicdbdjded}({\unicdcdadad} X2 .  (X2 \in X1){\unicdbdjded}({\unicdcdaddd} X3 .  ((v1\_zf\_lang~\\
X3){\unicdcdcdhd}(m2\_finseq\_1~X3~k5\_numbers)){\unicdcdcdhd}((X3=X2){\unicdcdcdhd}(r2\_zf\_lang~X3~X0)))))\end{array}
\label{hyp:egedcdpfkhggpfmgbgoghg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_zf\_lang~X0){\unicdcdcdhd}(m2\_finseq\_1~X0~k5\_numbers)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
((v1\_zf\_lang~X1){\unicdcdcdhd}(m2\_finseq\_1~X1~k5\_numbers)){\unicdbdjdcd}((r3\_zf\_lang~\\
X0~X1){\unicdbdjded}((r2\_zf\_lang~X0~X1){\unicdcdcdhd}(X0{\unicdcdgdad}X1))))\end{array}
\label{hyp:egedbdpfkhggpfmgbgoghg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (r1\_tarski~X0~X1){\unicdbdjded}({\unicdcdadad} X2 .  (X2 \in X0){\unicdbdjdcd}\\
(X2 \in X1))\end{array}
\label{hyp:egddpfehbgchdhlgjg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_zf\_lang~X0){\unicdcdcdhd}(m2\_finseq\_1~X0~k5\_numbers)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
((v1\_zf\_lang~X1){\unicdcdcdhd}(m2\_finseq\_1~X1~k5\_numbers)){\unicdbdjdcd}((r1\_zf\_lang~\\
X0~X1){\unicdbdjded}(\preoh (X1{\unicdcdgdad}k6\_zf\_lang~X0){\unicdcdcdhd}(({\unicdcdadad} X2 .  ((v1\_zf\_lang~X2){\unicdcdcdhd}(\\
m2\_finseq\_1~X2~k5\_numbers)){\unicdbdjdcd}((X1{\unicdcdgdad}k7\_zf\_lang~X0~X2){\unicdcdcdhd}(X1{\unicdcdgdad}k7\_zf\_lang~\\
X2~X0))){\unicdcdcdhd}({\unicdcdadad} X2 .  (m2\_subset\_1~X2~k5\_numbers~k1\_zf\_lang){\unicdbdjdcd}\\
(X1{\unicdcdgdad}k8\_zf\_lang~X2~X0))))))\end{array}
\label{hyp:egddjdpfkhggpfmgbgoghg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_zf\_lang~X0){\unicdcdcdhd}(m2\_finseq\_1~X0~k5\_numbers)){\unicdbdjdcd}((\\
v4\_zf\_lang~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  ((v1\_zf\_lang~X1){\unicdcdcdhd}(m2\_finseq\_1~X1~\\
k5\_numbers)){\unicdbdjdcd}((X1=k20\_zf\_lang~X0){\unicdbdjded}(k6\_zf\_lang~X1=X0))))\end{array}
\label{hyp:egddadpfkhggpfmgbgoghg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (X1=k1\_tarski~X0){\unicdbdjded}({\unicdcdadad} X2 .  (X2 \in X1){\unicdbdjded}\\
(X2=X0))\end{array}
\label{hyp:egbdpfehbgchdhlgjg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_zf\_lang~X0){\unicdcdcdhd}(m2\_finseq\_1~X0~k5\_numbers)){\unicdbdjdcd}((\\
v6\_zf\_lang~X0){\unicdbdjded}({\unicdcdaddd} X1 .  (m2\_subset\_1~X1~k5\_numbers~k1\_zf\_lang){\unicdcdcdhd}\\
({\unicdcdaddd} X2 .  ((v1\_zf\_lang~X2){\unicdcdcdhd}(m2\_finseq\_1~X2~k5\_numbers)){\unicdcdcdhd}(\\
X0=k8\_zf\_lang~X1~X2))))\end{array}
\label{hyp:egbdedpfkhggpfmgbgoghg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_zf\_lang~X0){\unicdcdcdhd}(m2\_finseq\_1~X0~k5\_numbers)){\unicdbdjdcd}((\\
v4\_zf\_lang~X0){\unicdbdjded}({\unicdcdaddd} X1 .  ((v1\_zf\_lang~X1){\unicdcdcdhd}(m2\_finseq\_1~X1~\\
k5\_numbers)){\unicdcdcdhd}(X0=k6\_zf\_lang~X1)))\end{array}
\label{hyp:egbdcdpfkhggpfmgbgoghg}
\end{equation}
\begin{theorem}\label{thm:ehidfdpfkhggpfmgbgoghg}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_zf\_lang~X0){\unicdcdcdhd}(m2\_finseq\_1~X0~k5\_numbers)){\unicdbdjdcd}((\\
v7\_zf\_lang~X0){\unicdbdjded}(k29\_zf\_lang~X0=k1\_tarski~X0))\end{array}$$
\end{theorem}
\end{document}
