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<div><span class="kw">theorem </span><a NAME="T82"><span class="comment"><font color="firebrick">:: CARD_3:82</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">f</font> being   <a href="relat_1.html#V2" title="RELAT_1:attr.2">non-empty</a>  <a href="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</a><br/>  for <font color="Olive" title="b2">s</font>, <font color="Olive" title="b3">ss</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="b1">f</font><br/>  for <font color="Olive" title="b4">A</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>  holds  <span class="p1">(<span class="default"><font color="Olive" title="b3">ss</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><font color="Olive" title="b2">s</font> <a href="card_3.html#K11" title="CARD_3:func.11">|</a> <font color="Olive" title="b4">A</font></span>)</span></span>)</span> <a href="relat_1.html#K5" title="RELAT_1:func.5">|</a> <font color="Olive" title="b4">A</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">s</font> <a href="card_3.html#K11" title="CARD_3:func.11">|</a> <font color="Olive" title="b4">A</font></div></div>
