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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E5">Th12</font></span>: <a NAME="T12"><span class="comment"><font color="firebrick">:: GLIBPRE1:12</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">M</font>, <font color="Olive" title="b2">N</font> being   <a href="card_1.html#NM1" title="CARD_1:NM.1">Cardinal</a><br/>  for <font color="Olive" title="b3">f</font> being   <a href="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</a>  st <font color="Olive" title="b1">M</font> <a href="ordinal1.html#R1" title="ORDINAL1:pred.1">c=</a>  <a href="card_1.html#K1" title="CARD_1:func.1">card</a> <span class="p1">(<span class="default"><a href="relat_1.html#NK1" title="RELAT_1:NK.1">dom</a> <font color="Olive" title="b3">f</font></span>)</span> &amp; (  for <font color="Olive" title="b4">x</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">object</a>   st <font color="Olive" title="b4">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#NK1" title="RELAT_1:NK.1">dom</a> <font color="Olive" title="b3">f</font> holds <br/><font color="Olive" title="b2">N</font> <a href="ordinal1.html#R1" title="ORDINAL1:pred.1">c=</a>  <a href="card_1.html#K1" title="CARD_1:func.1">card</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">f</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b4">x</font></span>)</span> ) holds <br/><font color="Olive" title="b1">M</font> <a href="card_2.html#K2" title="CARD_2:func.2">*`</a> <font color="Olive" title="b2">N</font> <a href="ordinal1.html#R1" title="ORDINAL1:pred.1">c=</a>  <a href="card_3.html#K6" title="CARD_3:func.6">Sum</a> <span class="p1">(<span class="default"><a href="card_3.html#K1" title="CARD_3:func.1">Card</a> <font color="Olive" title="b3">f</font></span>)</span></div></div>
