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<div><span class="kw">theorem </span><a NAME="T30"><span class="comment"><font color="firebrick">:: REALALG3:30</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">R</font> being   <a href="realalg1.html#V14" title="REALALG1:attr.14">ordered</a>  <a href="vectsp_2.html#NM2" title="VECTSP_2:NM.2">domRing</a><br/>  for <font color="Olive" title="b2">P</font> being   <a href="realalg1.html#NM2" title="REALALG1:NM.2">Ordering</a> of <font color="Olive" title="b1">R</font><br/>  for <font color="Olive" title="b3">a</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">R</font> holds  <font color="Olive" title="b3">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="realalg3.html#K7" title="REALALG3:func.7">signum</a> (<font color="Olive" title="b2">P</font>,<font color="Olive" title="b3">a</font>)</span>)</span> <a href="ring_3.html#K1" title="RING_3:func.1">'*'</a> <span class="p1">(<span class="default"><a href="realalg2.html#NK4" title="REALALG2:NK.4">abs</a> (<font color="Olive" title="b2">P</font>,<font color="Olive" title="b3">a</font>)</span>)</span></div></div>
