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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E5">RNS8</font></span>: <a NAME="T5"><span class="comment"><font color="firebrick">:: DUALSP03:5</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">seq</font> being   <a href="seq_1.html#NM1" title="SEQ_1:NM.1">Real_Sequence</a><br/>  for <font color="Olive" title="b2">seq1</font> being   <a href="struct_0.html#NM9" title="STRUCT_0:NM.9">sequence</a> of <a href="dualsp02.html#K3" title="DUALSP02:func.3">RNS_Real</a>  st <font color="Olive" title="b1">seq</font> <a href="funct_2.html#R1" title="FUNCT_2:pred.1">=</a> <font color="Olive" title="b2">seq1</font> holds <br/>( <font color="Olive" title="b1">seq</font> is  <a href="comseq_2.html#V2" title="COMSEQ_2:attr.2">convergent</a>  iff <font color="Olive" title="b2">seq1</font> is  <a href="normsp_1.html#V3" title="NORMSP_1:attr.3">convergent</a>  )</div></div>
