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<div><span class="kw">theorem </span><a NAME="T19"><span class="comment"><font color="firebrick">:: NOMIN_3:19</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">D</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">f</font> being   <a href="partpr_2.html#NM1" title="PARTPR_2:NM.1">BinominativeFunction</a> of <font color="Olive" title="b1">D</font><br/>  for <font color="Olive" title="b3">p</font>, <font color="Olive" title="b4">q</font> being   <a href="partpr_1.html#NM1" title="PARTPR_1:NM.1">PartialPredicate</a> of <font color="Olive" title="b1">D</font>  st <font color="Olive" title="b3">p</font> is  <a href="partfun1.html#V1" title="PARTFUN1:attr.1">total</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="partpr_2.html#K19" title="PARTPR_2:func.19">PP_inversion</a> <font color="Olive" title="b3">p</font></span>)</span>,<font color="Olive" title="b2">f</font>,<font color="Olive" title="b4">q</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 <font color="Olive" title="b1">D</font></div></div>
