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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E16">v1a</font></span>: <a NAME="T16"><span class="comment"><font color="firebrick">:: REALALG2:16</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">R</font> being   <a href="realalg1.html#V13" title="REALALG1:attr.13">preordered</a>  <a href="vectsp_1.html#NM3" title="VECTSP_1:NM.3">Ring</a><br/>  for <font color="Olive" title="b2">P</font> being   <a href="realalg1.html#NM1" title="REALALG1:NM.1">Preordering</a> of <font color="Olive" title="b1">R</font> holds  <span class="p1">(<span class="default"><a href="realalg1.html#K1" title="REALALG1:func.1">-</a> <font color="Olive" title="b2">P</font></span>)</span> <a href="group_2.html#K2" title="GROUP_2:func.2">*</a> <font color="Olive" title="b2">P</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">P</font> <a href="group_2.html#K2" title="GROUP_2:func.2">*</a> <span class="p1">(<span class="default"><a href="realalg1.html#K1" title="REALALG1:func.1">-</a> <font color="Olive" title="b2">P</font></span>)</span></div></div>
