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<div><span class="kw">theorem </span><a NAME="T31"><span class="comment"><font color="firebrick">:: ORDERS_5:31</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">A</font> being    <a href="orders_2.html#L1" title="ORDERS_2:struct.1">RelStr</a>   st  the <a href="orders_2.html#U1" title="ORDERS_2:sel.1">InternalRel</a> of <font color="Olive" title="b1">A</font> <a href="orders_1.html#R3" title="ORDERS_1:pred.3">linearly_orders</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">A</font> holds <br/>( <font color="Olive" title="b1">A</font> is  <a href="orders_2.html#V3" title="ORDERS_2:attr.3">reflexive</a>  &amp; <font color="Olive" title="b1">A</font> is  <a href="orders_2.html#V4" title="ORDERS_2:attr.4">transitive</a>  &amp; <font color="Olive" title="b1">A</font> is  <a href="orders_2.html#V5" title="ORDERS_2:attr.5">antisymmetric</a>  &amp; <font color="Olive" title="b1">A</font> is  <a href="orders_5.html#V1" title="ORDERS_5:attr.1">connected</a>  )</div></div>
