\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{t33\_sf\_mastr (TMPqcWcZKdGGsrfx6iFswb3ysAR67EzoC6w)}
\maketitle
Let $ v1\_ami\_2 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ u1\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k1\_scmfsa\_2 : {\iota}$ be given.
Let $ m1\_scmfsa\_2 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ u1\_compos\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k14\_scmfsa\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k15\_scmfsa\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k3\_sf\_mastr : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k1\_tarski : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ r1\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k2\_compos\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ np\_\_10 : {\iota}$ be given.
Let $ np\_\_9 : {\iota}$ be given.
Let $ v1\_finset\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v4\_finsub\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k5\_finsub\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k3\_scmfsa\_1 : {\iota}$ be given.
Let $ k3\_scmfsa\_2 : {\iota}$ be given.
Let $ np\_\_11 : {\iota}$ be given.
Let $ np\_\_12 : {\iota}$ be given.
Let $ k16\_scmfsa\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k17\_scmfsa\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k1\_xboole\_0 : {\iota}$ be given.
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{\unicdcdadad} X1 .  {{({{{r1\_tarski}~{({{k1\_tarski}~{X0}})}}~{X1}})}{\unicdbdjded}{({{X0} \in {X1}})}}}}\label{hyp:ehddbdpfkhggngjgdhdgpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m1\_scmfsa\_2~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  ((v1\_ami\_2~X1){\unicdcdcdhd}(m1\_subset\_1~\\
X1~(u1\_struct\_0~k1\_scmfsa\_2))){\unicdbdjdcd}({\unicdcdadad} X2 .  ((v1\_ami\_2~X2){\unicdcdcdhd}(\\
m1\_subset\_1~X2~(u1\_struct\_0~k1\_scmfsa\_2))){\unicdbdjdcd}(k2\_compos\_0~(u1\_compos\_1~\\
k1\_scmfsa\_2)~(k15\_scmfsa\_2~X2~X1~X0)=np\_\_10)))\end{array}
\label{hyp:ehcdhdpfdhdgngggdhbgpfcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m1\_scmfsa\_2~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  ((v1\_ami\_2~X1){\unicdcdcdhd}(m1\_subset\_1~\\
X1~(u1\_struct\_0~k1\_scmfsa\_2))){\unicdbdjdcd}({\unicdcdadad} X2 .  ((v1\_ami\_2~X2){\unicdcdcdhd}(\\
m1\_subset\_1~X2~(u1\_struct\_0~k1\_scmfsa\_2))){\unicdbdjdcd}(k2\_compos\_0~(u1\_compos\_1~\\
k1\_scmfsa\_2)~(k14\_scmfsa\_2~X1~X2~X0)=np\_\_9)))\end{array}
\label{hyp:ehcdgdpfdhdgngggdhbgpfcd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{\unicdcdadad} X1 .  {{({{X0} \in {X1}})}{\unicdbdjdcd}{({{{m1\_subset\_1}~{X0}}~{X1}})}}}}\label{hyp:ehbdpfdhfhcgdhfgeh}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{v1\_finset\_1}~{({{k1\_tarski}~{X0}})}}}\label{hyp:ggdgbdpfggjgogdhfgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m1\_scmfsa\_2~X0){\unicdbdjdcd}(m1\_subset\_1~X0~(u1\_struct\_0~k1\_scmfsa\_2))\end{array}
\label{hyp:egehpfngbdpfdhdgngggdhbgpfcd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{v4\_finsub\_1}~{({{k5\_finsub\_1}~{X0}})}}}\label{hyp:egehpflgfdpfggjgogdhfhcgpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m1\_subset\_1~X0~(u1\_struct\_0~k1\_scmfsa\_2)){\unicdbdjdcd}((m1\_scmfsa\_2~\\
X0){\unicdbdjded}(X0 \in k3\_scmfsa\_1))\end{array}
\label{hyp:egfdpfdhdgngggdhbgpfcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (v4\_finsub\_1~X1){\unicdbdjdcd}((X1=k5\_finsub\_1~X0){\unicdbdjded}\\
({\unicdcdadad} X2 .  (X2 \in X1){\unicdbdjded}((r1\_tarski~X2~X0){\unicdcdcdhd}(v1\_finset\_1~X2))))\end{array}
\label{hyp:egfdpfggjgogdhfhcgpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m1\_subset\_1~X0~(u1\_compos\_1~k1\_scmfsa\_2)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
(m1\_subset\_1~X1~(k5\_finsub\_1~k3\_scmfsa\_2)){\unicdbdjdcd}((((k2\_compos\_0~\\
(u1\_compos\_1~k1\_scmfsa\_2)~X0=np\_\_9){\unicdcdcdid}(k2\_compos\_0~(u1\_compos\_1~\\
k1\_scmfsa\_2)~X0=np\_\_10)){\unicdbdjdcd}((X1=k3\_sf\_mastr~X0){\unicdbdjded}({\unicdcdaddd} X2 .  \\
((v1\_ami\_2~X2){\unicdcdcdhd}(m1\_subset\_1~X2~(u1\_struct\_0~k1\_scmfsa\_2))){\unicdcdcdhd}\\
({\unicdcdaddd} X3 .  ((v1\_ami\_2~X3){\unicdcdcdhd}(m1\_subset\_1~X3~(u1\_struct\_0~k1\_scmfsa\_2))){\unicdcdcdhd}\\
({\unicdcdaddd} X4 .  (m1\_scmfsa\_2~X4){\unicdcdcdhd}(((X0=k14\_scmfsa\_2~X3~X2~X4){\unicdcdcdid}(X0=\\
k15\_scmfsa\_2~X3~X2~X4)){\unicdcdcdhd}(X1=k1\_tarski~X4))))))){\unicdcdcdhd}((((k2\_compos\_0~\\
(u1\_compos\_1~k1\_scmfsa\_2)~X0=np\_\_11){\unicdcdcdid}(k2\_compos\_0~(u1\_compos\_1~\\
k1\_scmfsa\_2)~X0=np\_\_12)){\unicdbdjdcd}((X1=k3\_sf\_mastr~X0){\unicdbdjded}({\unicdcdaddd} X2 .  \\
((v1\_ami\_2~X2){\unicdcdcdhd}(m1\_subset\_1~X2~(u1\_struct\_0~k1\_scmfsa\_2))){\unicdcdcdhd}\\
({\unicdcdaddd} X3 .  (m1\_scmfsa\_2~X3){\unicdcdcdhd}(((X0=k16\_scmfsa\_2~X2~X3){\unicdcdcdid}(X0=\\
k17\_scmfsa\_2~X2~X3)){\unicdcdcdhd}(X1=k1\_tarski~X3)))))){\unicdcdcdhd}(\preoh (k2\_compos\_0~\\
(u1\_compos\_1~k1\_scmfsa\_2)~X0{\unicdcdgdad}np\_\_9){\unicdcdcdhd}((k2\_compos\_0~(u1\_compos\_1~\\
k1\_scmfsa\_2)~X0{\unicdcdgdad}np\_\_10){\unicdcdcdhd}((k2\_compos\_0~(u1\_compos\_1~k1\_scmfsa\_2)~\\
X0{\unicdcdgdad}np\_\_11){\unicdcdcdhd}((k2\_compos\_0~(u1\_compos\_1~k1\_scmfsa\_2)~X0{\unicdcdgdad}np\_\_12){\unicdcdcdhd}\\
(\preoh (X1=k3\_sf\_mastr~X0){\unicdbdjded}(X1=k1\_xboole\_0)))))))))\end{array}
\label{hyp:egddpfdhggpfngbgdhehch}
\end{equation}
Assume the following.
\begin{equation}
{{k3\_scmfsa\_2}={k3\_scmfsa\_1}}\label{hyp:egddpfdhdgngggdhbgpfcd}
\end{equation}
\begin{theorem}\label{thm:ehddddpfdhggpfngbgdhehch}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_ami\_2~X0){\unicdcdcdhd}(m1\_subset\_1~X0~(u1\_struct\_0~k1\_scmfsa\_2))){\unicdbdjdcd}\\
({\unicdcdadad} X1 .  ((v1\_ami\_2~X1){\unicdcdcdhd}(m1\_subset\_1~X1~(u1\_struct\_0~k1\_scmfsa\_2))){\unicdbdjdcd}\\
({\unicdcdadad} X2 .  (m1\_scmfsa\_2~X2){\unicdbdjdcd}({\unicdcdadad} X3 .  (m1\_subset\_1~X3~(u1\_compos\_1~\\
k1\_scmfsa\_2)){\unicdbdjdcd}(((X3=k14\_scmfsa\_2~X0~X1~X2){\unicdcdcdid}(X3=k15\_scmfsa\_2~\\
X0~X1~X2)){\unicdbdjdcd}(k3\_sf\_mastr~X3=k1\_tarski~X2)))))\end{array}$$
\end{theorem}
\end{document}
