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<div>:: <span class="kw">deftheorem </span>   defines <a href="grcat_1.html#K28" title="GRCAT_1:func.28">MidOpGroupObjects</a> <a onclick="hs(this)" href="javascript:()">GRCAT_1:def 33 : <br/></a><span> for <font color="Olive" title="b1">UN</font> being   <a href="classes2.html#NM1" title="CLASSES2:NM.1">Universe</a> holds   <a href="grcat_1.html#K28" title="GRCAT_1:func.28">MidOpGroupObjects</a> <font color="Olive" title="b1">UN</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"> { <span class="default"> <font color="Olive" title="b2">G</font> where <font color="Olive" title="b2">G</font> is   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <span class="p1">(<span class="default"><a href="grcat_1.html#K27" title="GRCAT_1:func.27">AbGroupCat</a> <font color="Olive" title="b1">UN</font></span>)</span> :  ex <font color="Olive" title="b3">H</font> being   <a href="midsp_2.html#V2" title="MIDSP_2:attr.2">midpoint_operator</a>  <a href="vectsp_1.html#NM2" title="VECTSP_1:NM.2">AbGroup</a> st <font color="Olive" title="b2">G</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">H</font> </span> } </span> ;<br/></span></div>
