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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E38">Th27</font></span>: <a NAME="T27"><span class="comment"><font color="firebrick">:: OSAFREE:27</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">S</font> being   <a href="osalg_4.html#V2" title="OSALG_4:attr.2">locally_directed</a>  <a href="osalg_1.html#NM3" title="OSALG_1:NM.3">OrderSortedSign</a><br/>  for <font color="Olive" title="b2">X</font> being  <a href="relat_1.html#V2" title="RELAT_1:attr.2">V2</a>() <a href="struct_0.html#NM8" title="STRUCT_0:NM.8">ManySortedSet</a> of <font color="Olive" title="b1">S</font> holds   <a href="osafree.html#K20" title="OSAFREE:func.20">PTCongruence</a> <font color="Olive" title="b2">X</font> is  <a href="osalg_4.html#V3" title="OSALG_4:attr.3">monotone</a> </div></div>
