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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E53">Def5</font></span>   defines <a href="group_22.html#K2" title="GROUP_22:func.2">Centralizer</a> <a onclick="hs(this)" href="javascript:()">GROUP_22:def 6 : <br/></a><span> for <font color="Olive" title="b1">G</font> being   <a href="group_1.html#NM1" title="GROUP_1:NM.1">Group</a><br/>  for <font color="Olive" title="b2">H</font> being    <a href="group_2.html#M1" title="GROUP_2:mode.1">Subgroup</a> of <font color="Olive" title="b1">G</font><br/>  for <font color="Olive">b<sub>3</sub></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="Olive" title="b1">G</font> holds <br/> ( <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="group_22.html#K2" title="GROUP_22:func.2">Centralizer</a> <font color="Olive" title="b2">H</font> iff <font color="Olive">b<sub>3</sub></font> <a href="group_2.html#R1" title="GROUP_2:pred.1">=</a>  <a href="group_22.html#K1" title="GROUP_22:func.1">Centralizer</a> <span class="p1">(<span class="default"><a href="group_2.html#K8" title="GROUP_2:func.8">carr</a> <font color="Olive" title="b2">H</font></span>)</span> );<br/></span></div>
