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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E9">Th8</font></span>: <a NAME="T8"><span class="comment"><font color="firebrick">:: MATRIX_7:8</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">a</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <span class="p1">(<span class="default"><a href="matrix_1.html#K10" title="MATRIX_1:func.10">Group_of_Perm</a> 2</span>)</span>  st  ex <font color="Olive" title="b2">q</font> being    <a href="matrix_1.html#M1" title="MATRIX_1:mode.1">Element</a> of  <a href="matrix_1.html#K9" title="MATRIX_1:func.9">Permutations</a> 2 st <br/>( <font color="Olive" title="b2">q</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">a</font> &amp; <font color="Olive" title="b2">q</font> is  <a href="matrix_1.html#V5" title="MATRIX_1:attr.5">being_transposition</a>  ) holds <br/><font color="Olive" title="b1">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default">2,1</span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span></div></div>
