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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E10">Def4</font></span>   defines <a href="waybel16.html#K1" title="WAYBEL16:func.1">Irr</a> <a onclick="hs(this)" href="javascript:()">WAYBEL16:def 4 : <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">b<sub>2</sub></font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">L</font> holds <br/> ( <font color="Olive">b<sub>2</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="waybel16.html#K1" title="WAYBEL16:func.1">Irr</a> <font color="Olive" title="b1">L</font> iff  for <font color="Olive" title="b3">x</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="b3">x</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive">b<sub>2</sub></font> iff <font color="Olive" title="b3">x</font> is  <a href="waybel16.html#V1" title="WAYBEL16:attr.1">completely-irreducible</a>  ) );<br/></span></div>
