<?xml version="1.0"?>
<Theorems>
<Signature>
<ArticleID name="HIDDEN"/>
<ArticleID name="RELAT_1"/>
<ArticleID name="XBOOLE_0"/>
<ArticleID name="ZFMISC_1"/>
<ArticleID name="SUBSET_1"/>
<ArticleID name="TARSKI"/>
<ArticleID name="ORDINAL1"/>
<ArticleID name="NUMBERS"/>
<ArticleID name="XCMPLX_0"/>
<ArticleID name="XXREAL_0"/>
<ArticleID name="XREAL_0"/>
</Signature>
<Theorem kind="D" constrkind="V" constrnr="23">
<For>
<Typ kind="M" nr="1">
<Cluster/>
</Typ>
<And>
<Not>
<And>
<Pred kind="V" nr="23">
<Var nr="1"/>
</Pred>
<Not>
<Pred kind="R" nr="2">
<Var nr="1"/>
<Func kind="K" nr="40"/>
</Pred>
</Not>
</And>
</Not>
<Not>
<And>
<Pred kind="R" nr="2">
<Var nr="1"/>
<Func kind="K" nr="40"/>
</Pred>
<Not>
<Pred kind="V" nr="23">
<Var nr="1"/>
</Pred>
</Not>
</And>
</Not>
</And>
</For>
</Theorem>
<Theorem kind="D" constrkind="K" constrnr="58">
<For>
<Typ kind="M" nr="1">
<Cluster>
<Adjective nr="23"/>
</Cluster>
</Typ>
<For>
<Typ kind="M" nr="1">
<Cluster>
<Adjective nr="23"/>
</Cluster>
</Typ>
<And>
<Not>
<And>
<Pred kind="R" nr="17">
<Func kind="K" nr="44"/>
<Func kind="K" nr="51">
<Var nr="1"/>
<Var nr="2"/>
</Func>
</Pred>
<Not>
<Pred kind="R" nr="1">
<Func kind="K" nr="58">
<Var nr="1"/>
<Var nr="2"/>
</Func>
<Func kind="K" nr="51">
<Var nr="1"/>
<Var nr="2"/>
</Func>
</Pred>
</Not>
</And>
</Not>
<Not>
<And>
<Not>
<Pred kind="R" nr="17">
<Func kind="K" nr="44"/>
<Func kind="K" nr="51">
<Var nr="1"/>
<Var nr="2"/>
</Func>
</Pred>
</Not>
<Not>
<Pred kind="R" nr="1">
<Func kind="K" nr="58">
<Var nr="1"/>
<Var nr="2"/>
</Func>
<Func kind="K" nr="44"/>
</Pred>
</Not>
</And>
</Not>
</And>
</For>
</For>
</Theorem>
</Theorems>
