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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E14">Th12</font></span>: <a NAME="T12"><span class="comment"><font color="firebrick">:: SEQ_2:12</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">seq</font>, <font color="Olive" title="b2">seq9</font> being   <a href="seq_1.html#NM1" title="SEQ_1:NM.1">Real_Sequence</a>  st <font color="Olive" title="b1">seq</font> is  <a href="comseq_2.html#V2" title="COMSEQ_2:attr.2">convergent</a>  &amp; <font color="Olive" title="b2">seq9</font> is  <a href="comseq_2.html#V2" title="COMSEQ_2:attr.2">convergent</a>  holds <br/> <a href="seq_2.html#K1" title="SEQ_2:func.1">lim</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">seq</font> <a href="valued_1.html#K47" title="VALUED_1:func.47">-</a> <font color="Olive" title="b2">seq9</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="seq_2.html#K1" title="SEQ_2:func.1">lim</a> <font color="Olive" title="b1">seq</font></span>)</span> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> <span class="p1">(<span class="default"><a href="seq_2.html#K1" title="SEQ_2:func.1">lim</a> <font color="Olive" title="b2">seq9</font></span>)</span></div></div>
