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<div><span class="kw">theorem </span><a NAME="T65"><span class="comment"><font color="firebrick">:: ORDINAL6:65</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">l</font> being   <a href="ordinal1.html#V4" title="ORDINAL1:attr.4">limit_ordinal</a>   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  <a href="ordinal1.html#NM3" title="ORDINAL1:NM.3">Ordinal</a><br/>  for <font color="Olive" title="b2">U</font> being   <a href="classes2.html#NM1" title="CLASSES2:NM.1">Universe</a>  st <font color="Olive" title="b1">l</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b2">U</font> &amp; (  for <font color="Olive" title="b3">a</font> being   <a href="ordinal1.html#NM3" title="ORDINAL1:NM.3">Ordinal</a>  st <font color="Olive" title="b3">a</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b1">l</font> holds <br/><span class="p1">(<span class="default"><font color="Olive" title="b2">U</font> <a href="ordinal6.html#K11" title="ORDINAL6:func.11">-Veblen</a></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b3">a</font> is   <a href="ordinal6.html#V2" title="ORDINAL6:attr.2">normal</a>  <a href="ordinal4.html#NM2" title="ORDINAL4:NM.2">Ordinal-Sequence</a> of <font color="Olive" title="b2">U</font> ) holds <br/> <a href="ordinal6.html#K8" title="ORDINAL6:func.8">lims</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b2">U</font> <a href="ordinal6.html#K11" title="ORDINAL6:func.11">-Veblen</a></span>)</span> <a href="relat_1.html#K5" title="RELAT_1:func.5">|</a> <font color="Olive" title="b1">l</font></span>)</span> is   <a href="ordinal2.html#V3" title="ORDINAL2:attr.3">continuous</a>   <a href="ordinal5.html#V2" title="ORDINAL5:attr.2">non-decreasing</a>  <a href="ordinal4.html#NM2" title="ORDINAL4:NM.2">Ordinal-Sequence</a> of <font color="Olive" title="b2">U</font></div></div>
