<?xml version="1.0"?>
<Theorems>
<Signature>
<ArticleID name="HIDDEN"/>
<ArticleID name="TARSKI"/>
<ArticleID name="XBOOLE_0"/>
<ArticleID name="ZFMISC_1"/>
<ArticleID name="SUBSET_1"/>
<ArticleID name="RELAT_1"/>
<ArticleID name="FUNCT_1"/>
<ArticleID name="PARTFUN1"/>
<ArticleID name="XTUPLE_0"/>
<ArticleID name="MCART_1"/>
<ArticleID name="FUNCT_2"/>
<ArticleID name="BINOP_1"/>
<ArticleID name="ORDINAL1"/>
<ArticleID name="NUMBERS"/>
<ArticleID name="XCMPLX_0"/>
<ArticleID name="XREAL_0"/>
<ArticleID name="XXREAL_0"/>
<ArticleID name="NAT_1"/>
<ArticleID name="VALUED_0"/>
<ArticleID name="INT_1"/>
<ArticleID name="RAT_1"/>
<ArticleID name="MEMBERED"/>
<ArticleID name="FINSET_1"/>
<ArticleID name="VALUED_1"/>
<ArticleID name="XXREAL_2"/>
<ArticleID name="CARD_1"/>
<ArticleID name="FINSEQ_1"/>
<ArticleID name="FINSEQ_2"/>
<ArticleID name="SEQ_4"/>
<ArticleID name="STRUCT_0"/>
<ArticleID name="PRE_TOPC"/>
<ArticleID name="COMPLSP1"/>
</Signature>
<Theorem kind="D" constrkind="K" constrnr="268">
<For>
<Typ kind="M" nr="3">
<Cluster/>
<Func kind="K" nr="91"/>
</Typ>
<Pred kind="R" nr="1">
<Func kind="K" nr="268">
<Var nr="1"/>
</Func>
<Func kind="G" nr="6">
<Func kind="K" nr="242">
<Var nr="1"/>
</Func>
<Func kind="K" nr="255">
<Var nr="1"/>
</Func>
</Func>
</Pred>
</For>
</Theorem>
<Theorem kind="T">
<For>
<Typ kind="M" nr="3">
<Cluster/>
<Func kind="K" nr="91"/>
</Typ>
<Pred kind="R" nr="1">
<Func kind="U" nr="5">
<Func kind="K" nr="268">
<Var nr="1"/>
</Func>
</Func>
<Func kind="K" nr="255">
<Var nr="1"/>
</Func>
</Pred>
</For>
</Theorem>
<Theorem kind="T">
<For>
<Typ kind="M" nr="3">
<Cluster/>
<Func kind="K" nr="91"/>
</Typ>
<Pred kind="R" nr="1">
<Func kind="U" nr="1">
<Func kind="K" nr="268">
<Var nr="1"/>
</Func>
</Func>
<Func kind="K" nr="242">
<Var nr="1"/>
</Func>
</Pred>
</For>
</Theorem>
<Theorem kind="T">
<For>
<Typ kind="M" nr="3">
<Cluster/>
<Func kind="K" nr="91"/>
</Typ>
<For>
<Typ kind="M" nr="3">
<Cluster/>
<Func kind="U" nr="1">
<Func kind="K" nr="268">
<Var nr="1"/>
</Func>
</Func>
</Typ>
<Is>
<Var nr="2"/>
<Typ kind="M" nr="14">
<Cluster/>
<Func kind="K" nr="95"/>
<Func kind="K" nr="242">
<Var nr="1"/>
</Func>
</Typ>
</Is>
</For>
</For>
</Theorem>
<Theorem kind="T">
<For>
<Typ kind="M" nr="3">
<Cluster/>
<Func kind="K" nr="91"/>
</Typ>
<For>
<Typ kind="M" nr="3">
<Cluster/>
<Func kind="K" nr="10">
<Func kind="U" nr="1">
<Func kind="K" nr="268">
<Var nr="1"/>
</Func>
</Func>
</Func>
</Typ>
<For>
<Typ kind="M" nr="3">
<Cluster/>
<Func kind="K" nr="10">
<Func kind="K" nr="242">
<Var nr="1"/>
</Func>
</Func>
</Typ>
<Not>
<And>
<Pred kind="R" nr="1">
<Var nr="3"/>
<Var nr="2"/>
</Pred>
<Not>
<And>
<Not>
<And>
<Pred kind="V" nr="80">
<Var nr="1"/>
<Var nr="3"/>
</Pred>
<Not>
<Pred kind="V" nr="99">
<Func kind="K" nr="268">
<Var nr="1"/>
</Func>
<Var nr="2"/>
</Pred>
</Not>
</And>
</Not>
<Not>
<And>
<Pred kind="V" nr="99">
<Func kind="K" nr="268">
<Var nr="1"/>
</Func>
<Var nr="2"/>
</Pred>
<Not>
<Pred kind="V" nr="80">
<Var nr="1"/>
<Var nr="3"/>
</Pred>
</Not>
</And>
</Not>
</And>
</Not>
</And>
</Not>
</For>
</For>
</For>
</Theorem>
<Theorem kind="T">
<For>
<Typ kind="M" nr="3">
<Cluster/>
<Func kind="K" nr="91"/>
</Typ>
<For>
<Typ kind="M" nr="3">
<Cluster/>
<Func kind="K" nr="10">
<Func kind="U" nr="1">
<Func kind="K" nr="268">
<Var nr="1"/>
</Func>
</Func>
</Func>
</Typ>
<For>
<Typ kind="M" nr="3">
<Cluster/>
<Func kind="K" nr="10">
<Func kind="K" nr="242">
<Var nr="1"/>
</Func>
</Func>
</Typ>
<Not>
<And>
<Pred kind="R" nr="1">
<Var nr="3"/>
<Var nr="2"/>
</Pred>
<Not>
<And>
<Not>
<And>
<Pred kind="V" nr="81">
<Var nr="1"/>
<Var nr="3"/>
</Pred>
<Not>
<Pred kind="V" nr="100">
<Func kind="K" nr="268">
<Var nr="1"/>
</Func>
<Var nr="2"/>
</Pred>
</Not>
</And>
</Not>
<Not>
<And>
<Pred kind="V" nr="100">
<Func kind="K" nr="268">
<Var nr="1"/>
</Func>
<Var nr="2"/>
</Pred>
<Not>
<Pred kind="V" nr="81">
<Var nr="1"/>
<Var nr="3"/>
</Pred>
</Not>
</And>
</Not>
</And>
</Not>
</And>
</Not>
</For>
</For>
</For>
</Theorem>
<Theorem kind="T">
<For>
<Typ kind="M" nr="3">
<Cluster/>
<Func kind="K" nr="91"/>
</Typ>
<Pred kind="V" nr="104">
<Func kind="K" nr="268">
<Var nr="1"/>
</Func>
</Pred>
</For>
</Theorem>
<Theorem kind="T">
<For>
<Typ kind="M" nr="3">
<Cluster/>
<Func kind="K" nr="91"/>
</Typ>
<Pred kind="V" nr="105">
<Func kind="K" nr="268">
<Var nr="1"/>
</Func>
</Pred>
</For>
</Theorem>
</Theorems>
