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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E5">Def3</font></span>   defines <a href="arrow.html#K3" title="ARROW:func.3">LinOrders</a> <a onclick="hs(this)" href="javascript:()">ARROW:def 3 : <br/></a><span> for <font color="Olive" title="b1">A</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive">b<sub>2</sub></font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <span class="p1">(<span class="default"><a href="arrow.html#K2" title="ARROW:func.2">LinPreorders</a> <font color="Olive" title="b1">A</font></span>)</span> holds <br/> ( <font color="Olive">b<sub>2</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="arrow.html#K3" title="ARROW:func.3">LinOrders</a> <font color="Olive" title="b1">A</font> iff  for <font color="Olive" title="b3">R</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>  holds <br/> ( <font color="Olive" title="b3">R</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive">b<sub>2</sub></font> iff <font color="Olive" title="b3">R</font> is   <a href="relat_2.html#V6" title="RELAT_2:attr.6">connected</a>  <a href="orders_1.html#NM4" title="ORDERS_1:NM.4">Order</a> of <font color="Olive" title="b1">A</font> ) );<br/></span></div>
