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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E15">Th7</font></span>: <a NAME="T7"><span class="comment"><font color="firebrick">:: POSET_1:7</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">P</font>, <font color="Olive" title="b2">Q</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="orders_2.html#V1" title="ORDERS_2:attr.1">strict</a>   <a href="poset_1.html#V1" title="POSET_1:attr.1">chain-complete</a>  <a href="orders_2.html#NM1" title="ORDERS_2:NM.1">Poset</a><br/>  for <font color="Olive" title="b3">z</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b2">Q</font> holds  <font color="Olive" title="b1">P</font> <a href="struct_0.html#K6" title="STRUCT_0:func.6">--&gt;</a> <font color="Olive" title="b3">z</font> is  <a href="poset_1.html#V2" title="POSET_1:attr.2">continuous</a> </div></div>
