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<div>:: <span class="kw">deftheorem </span>   defines <a href="conlat_1.html#V2" title="CONLAT_1:attr.2">co-Galois</a> <a onclick="hs(this)" href="javascript:()">CONLAT_1:def 7 : <br/></a><span> for <font color="Olive" title="b1">P</font>, <font color="Olive" title="b2">R</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="b3">Con</font> being    <a href="waybel_1.html#M1" title="WAYBEL_1:mode.1">Connection</a> of <font color="Olive" title="b1">P</font>,<font color="Olive" title="b2">R</font> holds <br/> ( <font color="Olive" title="b3">Con</font> is  <a href="conlat_1.html#V2" title="CONLAT_1:attr.2">co-Galois</a>  iff  ex <font color="Olive" title="b4">f</font> being   <a href="struct_0.html#NM6" title="STRUCT_0:NM.6">Function</a> of <font color="Olive" title="b1">P</font>,<font color="Olive" title="b2">R</font> ex <font color="Olive" title="b5">g</font> being   <a href="struct_0.html#NM6" title="STRUCT_0:NM.6">Function</a> of <font color="Olive" title="b2">R</font>,<font color="Olive" title="b1">P</font> st <br/>( <font color="Olive" title="b3">Con</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="waybel_1.html#K1" title="WAYBEL_1:func.1">[</a><span class="default"><font color="Olive" title="b4">f</font>,<font color="Olive" title="b5">g</font></span><a href="waybel_1.html#K1" title="WAYBEL_1:func.1">]</a></span> &amp; <font color="Olive" title="b4">f</font> is  <a href="waybel_0.html#V5" title="WAYBEL_0:attr.5">antitone</a>  &amp; <font color="Olive" title="b5">g</font> is  <a href="waybel_0.html#V5" title="WAYBEL_0:attr.5">antitone</a>  &amp; (  for <font color="Olive" title="b6">p1</font>, <font color="Olive" title="b7">p2</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">P</font><br/>  for <font color="Olive" title="b8">r1</font>, <font color="Olive" title="b9">r2</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b2">R</font> holds <br/> ( <font color="Olive" title="b6">p1</font> <a href="orders_2.html#R1" title="ORDERS_2:pred.1">&lt;=</a> <font color="Olive" title="b5">g</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <span class="p1">(<span class="default"><font color="Olive" title="b4">f</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b6">p1</font></span>)</span> &amp; <font color="Olive" title="b8">r1</font> <a href="orders_2.html#R1" title="ORDERS_2:pred.1">&lt;=</a> <font color="Olive" title="b4">f</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <span class="p1">(<span class="default"><font color="Olive" title="b5">g</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b8">r1</font></span>)</span> ) ) ) );<br/></span></div>
