\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}
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\newcommand\unicdcdaddd{\exists}
\newcommand\unicdcdidid{\not\subseteq}
\newcommand\preoh[1]{\lnot #1}
\newcommand\mname[1]{{\mathsf{#1}}}
\begin{document}
\title{t7\_finseq\_2 (TMKvyoreVVioL6buf8xSG65UQ2UBLGCUYDp)}
\maketitle
Let $ v7\_ordinal1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k2\_finseq\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k1\_nat\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ np\_\_1 : {\iota}$ be given.
Let $ k2\_xboole\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k1\_tarski : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v7\_ordinal1~X0){\unicdbdjdcd}(k2\_xboole\_0~(k2\_finseq\_1~X0)~(k1\_tarski~\\
(k1\_nat\_1~X0~np\_\_1))=k2\_finseq\_1~(k1\_nat\_1~X0~np\_\_1))\end{array}
\label{hyp:ehjdpfggjgogdhfgbhpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  (X0 \in k2\_xboole\_0~X2~(k1\_tarski~\\
X1)){\unicdbdjded}((X0 \in X2){\unicdcdcdid}(X0=X1))\end{array}
\label{hyp:ehbdddgdpfkhggngjgdhdgpfbd}
\end{equation}
\begin{theorem}\label{thm:ehhdpfggjgogdhfgbhpfcd}
$$\begin{array}{c}{\unicdcdadad} X0 .  (v7\_ordinal1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (v7\_ordinal1~X1){\unicdbdjdcd}(\preoh \\
(X0 \in k2\_finseq\_1~(k1\_nat\_1~X1~np\_\_1)){\unicdcdcdhd}((\preoh X0 \in k2\_finseq\_1~X1){\unicdcdcdhd}\\
(X0{\unicdcdgdad}k1\_nat\_1~X1~np\_\_1))))\end{array}$$
\end{theorem}
\end{document}
