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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E32">Th21</font></span>: <a NAME="T21"><span class="comment"><font color="firebrick">:: OSALG_4:21</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">S</font> being   <a href="osalg_1.html#NM3" title="OSALG_1:NM.3">OrderSortedSign</a><br/>  for <font color="Olive" title="b2">U1</font> being   <a href="msualg_1.html#V4" title="MSUALG_1:attr.4">non-empty</a>  <a href="osalg_1.html#NM5" title="OSALG_1:NM.5">OSAlgebra</a> of <font color="Olive" title="b1">S</font><br/>  for <font color="Olive" title="b3">R</font> being   <a href="osalg_4.html#NM4" title="OSALG_4:NM.4">OSCongruence</a> of <font color="Olive" title="b2">U1</font>  st <font color="Olive" title="b3">R</font> <a href="pboole.html#R8" title="PBOOLE:pred.8">=</a> <span class="p1"><a href="pboole.html#K6" title="PBOOLE:func.6">[|</a><span class="default"> the <a href="msualg_1.html#U3" title="MSUALG_1:sel.3">Sorts</a> of <font color="Olive" title="b2">U1</font>, the <a href="msualg_1.html#U3" title="MSUALG_1:sel.3">Sorts</a> of <font color="Olive" title="b2">U1</font></span><a href="pboole.html#K6" title="PBOOLE:func.6">|]</a></span> holds <br/><font color="Olive" title="b3">R</font> is  <a href="osalg_4.html#V3" title="OSALG_4:attr.3">monotone</a> </div></div>
