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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E14">Th10</font></span>: <a NAME="T10"><span class="comment"><font color="firebrick">:: OSALG_4:10</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">A</font> being   <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">E</font> being   <a href="msualg_4.html#V2" title="MSUALG_4:attr.2">MSEquivalence-like</a>   <a href="osalg_4.html#M1" title="OSALG_4:mode.1">OrderSortedRelation</a> of <font color="Olive" title="b2">A</font><br/>  for <font color="Olive" title="b4">s1</font>, <font color="Olive" title="b5">s2</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">S</font>  st <font color="Olive" title="b4">s1</font> <a href="orders_2.html#R3" title="ORDERS_2:pred.3">&lt;=</a> <font color="Olive" title="b5">s2</font> holds <br/> <a href="osalg_4.html#K6" title="OSALG_4:func.6">OSClass</a> (<font color="Olive" title="b3">E</font>,<font color="Olive" title="b4">s1</font>) <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="osalg_4.html#K6" title="OSALG_4:func.6">OSClass</a> (<font color="Olive" title="b3">E</font>,<font color="Olive" title="b5">s2</font>)</div></div>
