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<div><span class="kw">theorem </span><a NAME="T3"><span class="comment"><font color="firebrick">:: OSALG_4:3</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">R</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>  <a href="orders_2.html#NM1" title="ORDERS_2:NM.1">Poset</a><br/>  for <font color="Olive" title="b2">s1</font>, <font color="Olive" title="b3">s2</font>, <font color="Olive" title="b4">s3</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">R</font>  st <font color="Olive" title="b2">s1</font> <a href="osalg_4.html#R1" title="OSALG_4:pred.1">~=</a> <font color="Olive" title="b3">s2</font> &amp; <font color="Olive" title="b3">s2</font> <a href="osalg_4.html#R1" title="OSALG_4:pred.1">~=</a> <font color="Olive" title="b4">s3</font> holds <br/><font color="Olive" title="b2">s1</font> <a href="osalg_4.html#R1" title="OSALG_4:pred.1">~=</a> <font color="Olive" title="b4">s3</font></div></div>
