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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E80">DefInversions</font></span>   defines <a href="group_24.html#K4" title="GROUP_24:func.4">inversions</a> <a onclick="hs(this)" href="javascript:()">GROUP_24:def 6 : <br/></a><span> for <font color="Olive" title="b1">G</font> being   <a href="algstr_0.html#V15" title="ALGSTR_0:attr.15">strict</a>   <a href="group_1.html#V5" title="GROUP_1:attr.5">commutative</a>  <a href="group_1.html#NM1" title="GROUP_1:NM.1">Group</a><br/>  for <font color="Olive">b<sub>2</sub></font> being   <a href="struct_0.html#NM6" title="STRUCT_0:NM.6">Function</a> of <span class="p1">(<span class="default"><a href="gr_cy_1.html#K4" title="GR_CY_1:func.4">INT.Group</a> 2</span>)</span>,<span class="p1">(<span class="default"><a href="autgroup.html#K3" title="AUTGROUP:func.3">AutGroup</a> <font color="Olive" title="b1">G</font></span>)</span> holds <br/> ( <font color="Olive">b<sub>2</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="group_24.html#K4" title="GROUP_24:func.4">inversions</a> <font color="Olive" title="b1">G</font> iff ( <font color="Olive">b<sub>2</sub></font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K3" title="STRUCT_0:func.3">id</a> <font color="Olive" title="b1">G</font> &amp; <font color="Olive">b<sub>2</sub></font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 1 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="group_1.html#K3" title="GROUP_1:func.3">inverse_op</a> <font color="Olive" title="b1">G</font> ) );<br/></span></div>
