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<div>:: <span class="kw">deftheorem </span>   defines <a href="waybel16.html#V1" title="WAYBEL16:attr.1">completely-irreducible</a> <a onclick="hs(this)" href="javascript:()">WAYBEL16:def 3 : <br/></a><span> for <font color="Olive" title="b1">L</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="orders_2.html#L1" title="ORDERS_2:struct.1">RelStr</a> <br/>  for <font color="Olive" title="b2">p</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">L</font> holds <br/> ( <font color="Olive" title="b2">p</font> is  <a href="waybel16.html#V1" title="WAYBEL16:attr.1">completely-irreducible</a>  iff  <a href="waybel_1.html#R1" title="WAYBEL_1:pred.1">ex_min_of</a> <span class="p1">(<span class="default"><a href="waybel_0.html#K6" title="WAYBEL_0:func.6">uparrow</a> <font color="Olive" title="b2">p</font></span>)</span> <a href="subset_1.html#K7" title="SUBSET_1:func.7">\</a> <span class="p1"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><font color="Olive" title="b2">p</font></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span>,<font color="Olive" title="b1">L</font> );<br/></span></div>
