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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E27">Th25</font></span>: <a NAME="T23"><span class="comment"><font color="firebrick">:: MESFUN15:23</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">a</font> being   <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</a>  ex <font color="Olive" title="b2">E</font> being   <a href="prob_1.html#NM4" title="PROB_1:NM.4">SetSequence</a> of  <a href="measur12.html#K14" title="MEASUR12:func.14">L-Field</a>  st <br/>( (  for <font color="Olive" title="b3">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> holds  <font color="Olive" title="b2">E</font> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> <font color="Olive" title="b3">n</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="rcomp_1.html#K1" title="RCOMP_1:func.1">[.</a><span class="default"><font color="Olive" title="b1">a</font>,<span class="p2">(<span class="default"><font color="Olive" title="b1">a</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Olive" title="b3">n</font></span>)</span></span><a href="rcomp_1.html#K1" title="RCOMP_1:func.1">.]</a></span> ) &amp; <font color="Olive" title="b2">E</font> is  <a href="prob_1.html#V3" title="PROB_1:attr.3">non-descending</a>  &amp; <font color="Olive" title="b2">E</font> is  <a href="kurato_0.html#V3" title="KURATO_0:attr.3">convergent</a>  &amp;  <a href="prob_1.html#K1" title="PROB_1:func.1">Union</a> <font color="Olive" title="b2">E</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="rcomp_1.html#K3" title="RCOMP_1:func.3">[.</a><span class="default"><font color="Olive" title="b1">a</font>,<a href="supinf_1.html#K1" title="SUPINF_1:func.1">+infty</a></span><a href="rcomp_1.html#K3" title="RCOMP_1:func.3">.[</a></span> )</div></div>
