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<div><span class="kw">theorem </span><a NAME="T57"><span class="comment"><font color="firebrick">:: CLASSES1:57</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">A</font> being   <a href="ordinal1.html#NM3" title="ORDINAL1:NM.3">Ordinal</a> holds   <a href="classes1.html#K5" title="CLASSES1:func.5">the_transitive-closure_of</a> <font color="Olive" title="b1">A</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">A</font> <span class="kw">by</span> <span class="lab"><a class="ref" href="classes1.html#T55" target="_self" onmouseover="rs('classes1/T55')" onmouseout="rh()">Th55</a></span>;<br/></div></div>
