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<div><span class="kw">theorem </span><a NAME="T6"><span class="comment"><font color="firebrick">:: LOPBAN15:6</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">v</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <a href="dualsp02.html#K3" title="DUALSP02:func.3">RNS_Real</a><br/>  for <font color="Olive" title="b2">v1</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a>   st <font color="Olive" title="b1">v</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">v1</font> holds <br/><span class="p1"><a href="normsp_0.html#K2" title="NORMSP_0:func.2">||.</a><span class="default"><font color="Olive" title="b1">v</font></span><a href="normsp_0.html#K2" title="NORMSP_0:func.2">.||</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="complex1.html#K9" title="COMPLEX1:func.9">|.</a><span class="default"><font color="Olive" title="b2">v1</font></span><a href="complex1.html#K9" title="COMPLEX1:func.9">.|</a></span> <span class="kw">by</span> <span class="lab"><a class="ref" href="euclid.html#D2" onmouseover="rs('euclid/D2')" onmouseout="rh()">EUCLID:def 2</a></span>;<br/></div></div>
