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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E33">Th30</font></span>: <a NAME="T30"><span class="comment"><font color="firebrick">:: OSALG_2:30</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">S1</font> being   <a href="osalg_1.html#NM3" title="OSALG_1:NM.3">OrderSortedSign</a><br/>  for <font color="Olive" title="b2">OU0</font> being   <a href="osalg_1.html#NM5" title="OSALG_1:NM.5">OSAlgebra</a> of <font color="Olive" title="b1">S1</font><br/>  for <font color="Olive" title="b3">A</font> being    <a href="osalg_2.html#M2" title="OSALG_2:mode.2">OSSubset</a> of <font color="Olive" title="b2">OU0</font> holds <br/> (  <a href="osalg_2.html#K10" title="OSALG_2:func.10">GenOSAlg</a> <font color="Olive" title="b3">A</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">OU0</font> <a href="msualg_2.html#K10" title="MSUALG_2:func.10">|</a> <span class="p1">(<span class="default"><a href="osalg_2.html#K9" title="OSALG_2:func.9">OSMSubSort</a> <font color="Olive" title="b3">A</font></span>)</span> &amp;  the <a href="msualg_1.html#U3" title="MSUALG_1:sel.3">Sorts</a> of <span class="p1">(<span class="default"><a href="osalg_2.html#K10" title="OSALG_2:func.10">GenOSAlg</a> <font color="Olive" title="b3">A</font></span>)</span> <a href="pboole.html#R8" title="PBOOLE:pred.8">=</a>  <a href="osalg_2.html#K9" title="OSALG_2:func.9">OSMSubSort</a> <font color="Olive" title="b3">A</font> )</div></div>
