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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E8">Th9</font></span>: <a NAME="T9"><span class="comment"><font color="firebrick">:: NOMIN_4:9</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">a</font>, <font color="Olive" title="b4">b</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b1">V</font>  st (  for <font color="Olive" title="b5">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> holds  <font color="Olive" title="b3">a</font> <a href="nomin_4.html#R4" title="NOMIN_4:pred.4">is_a_value_on</a> <font color="Olive" title="b5">d</font> ) &amp; (  for <font color="Olive" title="b5">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> holds  <font color="Olive" title="b4">b</font> <a href="nomin_4.html#R4" title="NOMIN_4:pred.4">is_a_value_on</a> <font color="Olive" title="b5">d</font> ) holds <br/> <a href="xtuple_0.html#K10" title="XTUPLE_0:func.10">rng</a> <span class="p1"><a href="funct_3.html#K13" title="FUNCT_3:func.13">&lt;:</a><span class="default"><span class="p2">(<span class="default"><a href="nomin_1.html#K18" title="NOMIN_1:func.18">denaming</a> (<font color="Olive" title="b1">V</font>,<font color="Olive" title="b2">A</font>,<font color="Olive" title="b3">a</font>)</span>)</span>,<span class="p2">(<span class="default"><a href="nomin_1.html#K18" title="NOMIN_1:func.18">denaming</a> (<font color="Olive" title="b1">V</font>,<font color="Olive" title="b2">A</font>,<font color="Olive" title="b4">b</font>)</span>)</span></span><a href="funct_3.html#K13" title="FUNCT_3:func.13">:&gt;</a></span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <span class="p1"><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">[:</a><span class="default"><font color="Olive" title="b2">A</font>,<font color="Olive" title="b2">A</font></span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span></div></div>
