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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E27">Th33</font></span>: <a NAME="T34"><span class="comment"><font color="firebrick">:: NOMIN_2:34</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">V</font>, <font color="Olive" title="b2">A</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b3">d</font> being    <a href="nomin_1.html#M2" title="NOMIN_1:mode.2">TypeSCNominativeData</a> of <font color="Olive" title="b1">V</font>,<font color="Olive" title="b2">A</font><br/>  for <font color="Olive" title="b4">p</font> being   <a href="nomin_2.html#NM1" title="NOMIN_2:NM.1">SCPartialNominativePredicate</a> of <font color="Olive" title="b1">V</font>,<font color="Olive" title="b2">A</font><br/>  for <font color="Olive" title="b5">X</font> being   <a href="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</a><br/>  for <font color="Olive" title="b6">g</font> being  <font color="Olive">b<sub>1</sub></font>,<font color="Olive">b<sub>2</sub></font> <a href="nomin_2.html#V1" title="NOMIN_2:attr.1">-FPrg-yielding</a>  <a href="finseq_1.html#NM1" title="FINSEQ_1:NM.1">FinSequence</a>  st  <a href="card_3.html#K4" title="CARD_3:func.4">product</a> <font color="Olive" title="b6">g</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  holds <br/> for <font color="Olive" title="b7">x</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="card_3.html#K4" title="CARD_3:func.4">product</a> <font color="Olive" title="b6">g</font>  st <font color="Olive" title="b3">d</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="relset_1.html#K1" title="RELSET_1:func.1">dom</a> <span class="p1">(<span class="default"><a href="nomin_2.html#K8" title="NOMIN_2:func.8">SC_Psuperpos</a> (<font color="Olive" title="b4">p</font>,<font color="Olive" title="b7">x</font>,<font color="Olive" title="b5">X</font>)</span>)</span> holds <br/>( <font color="Olive" title="b3">d</font> <a href="nomin_2.html#R1" title="NOMIN_2:pred.1">in_doms</a> <font color="Olive" title="b6">g</font> &amp; <span class="p1">(<span class="default"><a href="nomin_2.html#K8" title="NOMIN_2:func.8">SC_Psuperpos</a> (<font color="Olive" title="b4">p</font>,<font color="Olive" title="b7">x</font>,<font color="Olive" title="b5">X</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b3">d</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">p</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="nomin_1.html#K16" title="NOMIN_1:func.16">global_overlapping</a> (<font color="Olive" title="b1">V</font>,<font color="Olive" title="b2">A</font>,<font color="Olive" title="b3">d</font>,<span class="p2">(<span class="default"><a href="nomin_2.html#K4" title="NOMIN_2:func.4">NDentry</a> (<font color="Olive" title="b6">g</font>,<font color="Olive" title="b5">X</font>,<font color="Olive" title="b3">d</font>)</span>)</span>)</span>)</span> )</div></div>
