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<div><div><a NAME="S2"><span class="kw">scheme  </span><span class="comment"><font color="firebrick">:: GROUP_22:sch 2</font></span><br/></a><span class="lab"><font color="Green" title="E2">MeetIsChar</font></span>{ <font color="Maroon">F<sub>1</sub></font>() <span class="kw">-&gt; </span>  <a href="group_1.html#NM1" title="GROUP_1:NM.1">Group</a>, <font color="Maroon">P<sub>1</sub></font>[   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> ] } :<br/><div class="add"><a NAME="E3:63"/>
 ex <font color="Olive" title="b1">K</font> being   <a href="algstr_0.html#V15" title="ALGSTR_0:attr.15">strict</a>   <a href="group_2.html#M1" title="GROUP_2:mode.1">Subgroup</a> of <font color="Maroon">F<sub>1</sub></font>() st <br/>(  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">K</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="setfam_1.html#K1" title="SETFAM_1:func.1">meet</a> <span class="p1"> { <span class="default"> <font color="Olive" title="b2">A</font> where <font color="Olive" title="b2">A</font> is   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon">F<sub>1</sub></font>() :  ex <font color="Olive" title="b3">H</font> being   <a href="algstr_0.html#V15" title="ALGSTR_0:attr.15">strict</a>   <a href="group_2.html#M1" title="GROUP_2:mode.1">Subgroup</a> of <font color="Maroon">F<sub>1</sub></font>() st <br/>( <font color="Olive" title="b2">A</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b3">H</font> &amp; <font color="Maroon">P<sub>1</sub></font>[<font color="Olive" title="b3">H</font>] ) </span> } </span>  &amp; <font color="Olive" title="b1">K</font> is  <a href="group_22.html#V3" title="GROUP_22:attr.3">characteristic</a>  )
 </div><span class="kw">provided</span><div class="add"><a NAME="E1:63"/><span class="lab"><font color="Green" title="E42">A1</font></span>: 
 for <font color="Olive" title="b1">phi</font> being   <a href="group_22.html#NM2" title="GROUP_22:NM.2">Automorphism</a> of <font color="Maroon">F<sub>1</sub></font>()<br/>  for <font color="Olive" title="b2">H</font> being   <a href="algstr_0.html#V15" title="ALGSTR_0:attr.15">strict</a>   <a href="group_2.html#M1" title="GROUP_2:mode.1">Subgroup</a> of <font color="Maroon">F<sub>1</sub></font>()  st <font color="Maroon">P<sub>1</sub></font>[<font color="Olive" title="b2">H</font>] holds <br/><font color="Maroon">P<sub>1</sub></font>[ <a href="group_6.html#K10" title="GROUP_6:func.10">Image</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">phi</font> <a href="grsolv_1.html#K1" title="GRSOLV_1:func.1">|</a> <font color="Olive" title="b2">H</font></span>)</span>]
 <span class="kw">and </span><br/><a NAME="E2:63"/><span class="lab"><font color="Green" title="E43">A2</font></span>: 
 ex <font color="Olive" title="b1">H</font> being   <a href="algstr_0.html#V15" title="ALGSTR_0:attr.15">strict</a>   <a href="group_2.html#M1" title="GROUP_2:mode.1">Subgroup</a> of <font color="Maroon">F<sub>1</sub></font>() st <font color="Maroon">P<sub>1</sub></font>[<font color="Olive" title="b1">H</font>]
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