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<div>:: <span class="kw">deftheorem </span>   defines <a href="realalg3.html#R2" title="REALALG3:pred.2">extends</a> <a onclick="hs(this)" href="javascript:()">REALALG3:def 8 : <br/></a><span> for <font color="Olive" title="b1">F</font> being   <a href="realalg1.html#V14" title="REALALG1:attr.14">ordered</a>  <a href="vectsp_1.html#NM5" title="VECTSP_1:NM.5">Field</a><br/>  for <font color="Olive" title="b2">E</font> being   <a href="realalg1.html#V14" title="REALALG1:attr.14">ordered</a>  <a href="field_4.html#NM4" title="FIELD_4:NM.4">FieldExtension</a> of <font color="Olive" title="b1">F</font><br/>  for <font color="Olive" title="b3">P</font> being   <a href="realalg1.html#NM2" title="REALALG1:NM.2">Ordering</a> of <font color="Olive" title="b1">F</font><br/>  for <font color="Olive" title="b4">O</font> being   <a href="realalg1.html#NM2" title="REALALG1:NM.2">Ordering</a> of <font color="Olive" title="b2">E</font> holds <br/> ( <font color="Olive" title="b4">O</font> <a href="realalg3.html#R2" title="REALALG3:pred.2">extends</a> <font color="Olive" title="b3">P</font> iff <font color="Olive" title="b4">O</font> <a href="subset_1.html#K8" title="SUBSET_1:func.8">/\</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">F</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">P</font> );<br/></span></div>
