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<div><span class="kw">theorem </span><a NAME="T32"><span class="comment"><font color="firebrick">:: REALALG1:32</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_1.html#NM3" title="VECTSP_1:NM.3">Ring</a><br/>  for <font color="Olive" title="b2">Q</font> being   <a href="realalg1.html#NM4" title="REALALG1:NM.4">total_OrderRelation</a> of <font color="Olive" title="b1">R</font> holds   <a href="realalg1.html#K5" title="REALALG1:func.5">Positives</a> <font color="Olive" title="b2">Q</font> is   <a href="realalg1.html#NM2" title="REALALG1:NM.2">Ordering</a> of <font color="Olive" title="b1">R</font> ;<br/></div></div>
