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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E23">Th31</font></span>: <a NAME="T31"><span class="comment"><font color="firebrick">:: MIDSP_1:31</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">M</font> being   <a href="midsp_1.html#NM1" title="MIDSP_1:NM.1">MidSp</a>  ex <font color="Olive" title="b2">u</font> being    <a href="midsp_1.html#M1" title="MIDSP_1:mode.1">Vector</a> of <font color="Olive" title="b1">M</font> st <br/> for <font color="Olive" title="b3">p</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <span class="p1"><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">[:</a><span class="default"> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">M</font>, the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">M</font></span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span> holds <br/> ( <font color="Olive" title="b3">p</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b2">u</font> iff <font color="Olive" title="b3">p</font> <a href="domain_1.html#K2" title="DOMAIN_1:func.2">`1</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">p</font> <a href="domain_1.html#K3" title="DOMAIN_1:func.3">`2</a>  )</div></div>
