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<div>:: <span class="kw">deftheorem </span>   defines <a href="matrix_1.html#K11" title="MATRIX_1:func.11">-</a> <a onclick="hs(this)" href="javascript:()">MATRIX_1:def 16 : <br/></a><span> for <font color="Olive" title="b1">K</font> being   <a href="vectsp_1.html#NM3" title="VECTSP_1:NM.3">Ring</a><br/>  for <font color="Olive" title="b2">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive" title="b3">x</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">K</font><br/>  for <font color="Olive" title="b4">p</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> <font color="Olive" title="b2">n</font> holds <br/> ( ( <font color="Olive" title="b4">p</font> is  <a href="matrix_1.html#V6" title="MATRIX_1:attr.6">even</a>  implies  <a href="matrix_1.html#K11" title="MATRIX_1:func.11">-</a> (<font color="Olive" title="b3">x</font>,<font color="Olive" title="b4">p</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">x</font> ) &amp; (  not <font color="Olive" title="b4">p</font> is  <a href="matrix_1.html#V6" title="MATRIX_1:attr.6">even</a>  implies  <a href="matrix_1.html#K11" title="MATRIX_1:func.11">-</a> (<font color="Olive" title="b3">x</font>,<font color="Olive" title="b4">p</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="algstr_0.html#K4" title="ALGSTR_0:func.4">-</a> <font color="Olive" title="b3">x</font> ) );<br/></span></div>
