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<b>let </b><font color="Maroon" title="c1">UN</font> be   <a href="classes2.html#NM1" title="CLASSES2:NM.1">Universe</a>;<br/>

<b>set </b><font color="Maroon" title="c2">D2</font> = the <a href="cat_1.html#U1" title="CAT_1:sel.1">Objects</a> of <span class="p1">(<span class="default"><a href="grcat_1.html#K28" title="GRCAT_1:func.28">GroupCat</a> <font color="Maroon" title="c1">UN</font></span>)</span>;<br/>
<b>set </b><font color="Maroon" title="c3">T</font> =  <a href="algstr_1.html#K2" title="ALGSTR_1:func.2">L_Trivial</a> ;<br/>
<a NAME="E1:102"/>
 <a href="algstr_1.html#K2" title="ALGSTR_1:func.2">L_Trivial</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="cat_1.html#U1" title="CAT_1:sel.1">Objects</a> of <span class="p1">(<span class="default"><a href="grcat_1.html#K28" title="GRCAT_1:func.28">GroupCat</a> <font color="Maroon" title="c1">UN</font></span>)</span>
 
<b>by </b><i><a class="ref" href="grcat_1.html#T42" target="_self" title="GRCAT_1:th.42">Th42</a></i>;<br/>
<a NAME="E2:102"/><b>then </b>
 <a href="algstr_1.html#K2" title="ALGSTR_1:func.2">L_Trivial</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1">{<span class="default"> <font color="Olive" title="b1">G</font> where <font color="Olive" title="b1">G</font> is    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of the <a href="cat_1.html#U1" title="CAT_1:sel.1">Objects</a> of <span class="p1">(<span class="default"><a href="grcat_1.html#K28" title="GRCAT_1:func.28">GroupCat</a> <font color="Maroon" title="c1">UN</font></span>)</span> :  ex <font color="Olive" title="b2">H</font> being  <a href="vectsp_1.html#NM1" title="VECTSP_1:NM.1">AbGroup</a> st <font color="Olive" title="b1">G</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">H</font> </span>}</span> 
 
;<br/>
<b>hence </b><a NAME="E3:102"/>
 <a href="algstr_1.html#K2" title="ALGSTR_1:func.2">L_Trivial</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="grcat_1.html#K29" title="GRCAT_1:func.29">AbGroupObjects</a> <font color="Maroon" title="c1">UN</font>
 ;<br/>


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