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<div><span class="kw">theorem </span><a NAME="T42"><span class="comment"><font color="firebrick">:: FOMODEL0:42</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">x</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">U</font>, <font color="Olive" title="b3">U1</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>   st <span class="p1">(<span class="default"><font color="Olive" title="b2">U</font> <a href="fomodel0.html#K9" title="FOMODEL0:func.9">-multiCat</a></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">x</font> is <font color="Olive" title="b3">U1</font> <a href="relat_1.html#V5" title="RELAT_1:attr.5">-valued</a>  &amp; <font color="Olive" title="b1">x</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">U</font> <a href="finseq_2.html#K3" title="FINSEQ_2:func.3">*</a></span>)</span> <a href="finseq_2.html#K3" title="FINSEQ_2:func.3">*</a>  holds <br/><font color="Olive" title="b1">x</font> is    <a href="fomodel0.html#M1" title="FOMODEL0:mode.1">FinSequence</a> of <font color="Olive" title="b3">U1</font> <a href="finseq_2.html#K3" title="FINSEQ_2:func.3">*</a> </div></div>
