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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E74">Th71</font></span>: <a NAME="T84"><span class="comment"><font color="firebrick">:: CARDFIL4:84</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">f</font> being   <a href="struct_0.html#NM5" title="STRUCT_0:NM.5">Function</a> of <span class="p1">(<span class="default"><a href="struct_0.html#K2" title="STRUCT_0:func.2">[#]</a> <a href="dickson.html#K11" title="DICKSON:func.11">OrderedNAT</a></span>)</span>,<a href="topmetr.html#K3" title="TOPMETR:func.3">R^1</a><br/>  for <font color="Olive" title="b2">seq</font> being   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>,<a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a>  st <font color="Olive" title="b1">f</font> <a href="funct_2.html#R1" title="FUNCT_2:pred.1">=</a> <font color="Olive" title="b2">seq</font> &amp;  <a href="cardfil2.html#K19" title="CARDFIL2:func.19">lim_f</a> <font color="Olive" title="b1">f</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  holds <br/> <a href="cardfil2.html#K19" title="CARDFIL2:func.19">lim_f</a> <font color="Olive" title="b1">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><span class="p2">(<span class="default"><a href="seq_2.html#K1" title="SEQ_2:func.1">lim</a> <font color="Olive" title="b2">seq</font></span>)</span></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span></div></div>
