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<div><span class="kw">theorem </span><a NAME="T55"><span class="comment"><font color="firebrick">:: PREFER_1:55</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">P</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>  <a href="prefer_1.html#NM1" title="PREFER_1:NM.1">PreferenceSpace</a> holds <br/> ( <font color="Olive" title="b1">P</font> is  <a href="prefer_1.html#V8" title="PREFER_1:attr.8">total</a>  iff  <a href="prefer_1.html#K6" title="PREFER_1:func.6">CharRel</a> <font color="Olive" title="b1">P</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  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">P</font> )</div></div>
