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<div><span class="kw">theorem </span><a NAME="T20"><span class="comment"><font color="firebrick">:: CARDFIL2:20</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">B1</font>, <font color="Olive" title="b3">B2</font> being   <a href="setfam_1.html#NM1" title="SETFAM_1:NM.1">Subset-Family</a> of <font color="Olive" title="b1">X</font>  st <font color="Olive" title="b2">B1</font>,<font color="Olive" title="b3">B2</font> <a href="cardfil2.html#R3" title="CARDFIL2:pred.3">are_equivalent_generators</a>  holds <br/><span class="p1"><a href="cardfil2.html#K3" title="CARDFIL2:func.3">&lt;.</a><span class="default"><font color="Olive" title="b2">B1</font></span><a href="cardfil2.html#K3" title="CARDFIL2:func.3">.]</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="cardfil2.html#K3" title="CARDFIL2:func.3">&lt;.</a><span class="default"><font color="Olive" title="b3">B2</font></span><a href="cardfil2.html#K3" title="CARDFIL2:func.3">.]</a></span> <span class="kw">by</span> <span class="lab"><a class="ref" href="cardfil2.html#T19" target="_self" onmouseover="rs('cardfil2/T19')" onmouseout="rh()">Th05</a></span>;<br/></div></div>
