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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E2">LM2</font></span>: <a NAME="T2"><span class="comment"><font color="firebrick">:: TOPMETR4:2</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>  st <font color="Olive" title="b1">X</font> is  <a href="finset_1.html#NV2" title="FINSET_1:NV.2">infinite</a>  holds <br/> ex <font color="Olive" title="b2">N</font> being   <a href="valued_0.html#V5" title="VALUED_0:attr.5">increasing</a>  <a href="nat_1.html#NM1" title="NAT_1:NM.1">sequence</a> of <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a> st  <a href="relset_1.html#K2" title="RELSET_1:func.2">rng</a> <font color="Olive" title="b2">N</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Olive" title="b1">X</font></div></div>
