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<div><span class="kw">theorem </span><a NAME="T31"><span class="comment"><font color="firebrick">:: NOMIN_3:31</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">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="b4">E</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><br/>  for <font color="Olive" title="b5">e</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="b4">E</font>  st  <a href="card_3.html#K4" title="CARD_3:func.4">product</a> <font color="Olive" title="b4">E</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/><span class="p1"><a href="finseq_1.html#K11" title="FINSEQ_1:func.11">&lt;*</a><span class="default"><span class="p2">(<span class="default"><a href="nomin_2.html#K8" title="NOMIN_2:func.8">SC_Psuperpos</a> (<font color="Olive" title="b3">p</font>,<font color="Olive" title="b5">e</font>,<font color="Olive" title="b4">E</font>)</span>)</span>,<span class="p2">(<span class="default"><a href="nomin_2.html#K12" title="NOMIN_2:func.12">SC_Fsuperpos</a> (<span class="p3">(<span class="default"><a href="partpr_2.html#K3" title="PARTPR_2:func.3">PPid</a> <span class="p4">(<span class="default"><a href="nomin_1.html#K3" title="NOMIN_1:func.3">ND</a> (<font color="Olive" title="b1">V</font>,<font color="Olive" title="b2">A</font>)</span>)</span></span>)</span>,<font color="Olive" title="b5">e</font>,<font color="Olive" title="b4">E</font>)</span>)</span>,<font color="Olive" title="b3">p</font></span><a href="finseq_1.html#K11" title="FINSEQ_1:func.11">*&gt;</a></span> is   <a href="nomin_3.html#NM2" title="NOMIN_3:NM.2">SFHT</a> of <span class="p1">(<span class="default"><a href="nomin_1.html#K3" title="NOMIN_1:func.3">ND</a> (<font color="Olive" title="b1">V</font>,<font color="Olive" title="b2">A</font>)</span>)</span></div></div>
