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<div><span class="kw">theorem </span><a NAME="T45"><span class="comment"><font color="firebrick">:: SETFAM_1:45</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">F</font> being   <a href="setfam_1.html#NM1" title="SETFAM_1:NM.1">Subset-Family</a> of <font color="Olive" title="b1">X</font> holds <br/> ( <font color="Olive" title="b2">F</font> is    <a href="setfam_1.html#M1" title="SETFAM_1:mode.1">Cover</a> of <font color="Olive" title="b1">X</font> iff  <a href="setfam_1.html#K5" title="SETFAM_1:func.5">union</a> <font color="Olive" title="b2">F</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">X</font> ) <span class="kw">by</span> <span class="lab"><a class="ref" href="setfam_1.html#D11" target="_self" onmouseover="rs('setfam_1/D11')" onmouseout="rh()">Def11</a></span>;<br/></div></div>
