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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E7">Th9</font></span>: <a NAME="T9"><span class="comment"><font color="firebrick">:: NECKLA_3:9</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">G</font> being   <a href="necklace.html#V3" title="NECKLACE:attr.3">irreflexive</a>   <a href="orders_2.html#L1" title="ORDERS_2:struct.1">RelStr</a> <br/>  for <font color="Olive" title="b2">G1</font>, <font color="Olive" title="b3">G2</font> being    <a href="orders_2.html#L1" title="ORDERS_2:struct.1">RelStr</a>   st ( <font color="Olive" title="b1">G</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="neckla_2.html#K1" title="NECKLA_2:func.1">union_of</a> (<font color="Olive" title="b2">G1</font>,<font color="Olive" title="b3">G2</font>) or <font color="Olive" title="b1">G</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="neckla_2.html#K2" title="NECKLA_2:func.2">sum_of</a> (<font color="Olive" title="b2">G1</font>,<font color="Olive" title="b3">G2</font>) ) holds <br/>( <font color="Olive" title="b2">G1</font> is  <a href="necklace.html#V3" title="NECKLACE:attr.3">irreflexive</a>  &amp; <font color="Olive" title="b3">G2</font> is  <a href="necklace.html#V3" title="NECKLACE:attr.3">irreflexive</a>  )</div></div>
