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<div><span class="kw">theorem </span><a NAME="T62"><span class="comment"><font color="firebrick">:: BAGORD_2:62</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#V4" title="ORDERS_2:attr.4">transitive</a>   <a href="necklace.html#V2" title="NECKLACE:attr.2">asymmetric</a>   <a href="orders_2.html#L1" title="ORDERS_2:struct.1">RelStr</a> <br/>  for <font color="Olive" title="b2">a</font>, <font color="Olive" title="b3">b</font>, <font color="Olive" title="b4">c</font>, <font color="Olive" title="b5">d</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <span class="p1">(<span class="default"><a href="bagord_2.html#K1" title="BAGORD_2:func.1">DershowitzMannaOrder</a> <font color="Olive" title="b1">R</font></span>)</span><br/>  for <font color="Olive" title="b6">e</font> being   <a href="pre_poly.html#NM2" title="PRE_POLY:NM.2">bag</a> of  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">R</font>  st <font color="Olive" title="b2">a</font> <a href="bagord_2.html#R1" title="BAGORD_2:pred.1">&lt;=</a> <font color="Olive" title="b3">b</font> &amp; <font color="Olive" title="b6">e</font> <a href="pre_poly.html#R3" title="PRE_POLY:pred.3">divides</a> <font color="Olive" title="b2">a</font> &amp; <font color="Olive" title="b6">e</font> <a href="pre_poly.html#R3" title="PRE_POLY:pred.3">divides</a> <font color="Olive" title="b3">b</font> &amp; <font color="Olive" title="b4">c</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">a</font> <a href="pre_poly.html#K12" title="PRE_POLY:func.12">-'</a> <font color="Olive" title="b6">e</font> &amp; <font color="Olive" title="b5">d</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">b</font> <a href="pre_poly.html#K12" title="PRE_POLY:func.12">-'</a> <font color="Olive" title="b6">e</font> holds <br/><font color="Olive" title="b4">c</font> <a href="bagord_2.html#R1" title="BAGORD_2:pred.1">&lt;=</a> <font color="Olive" title="b5">d</font></div></div>
