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<span class="kw">reconsider </span><font color="Maroon" title="c1">f</font> = <span class="p1"><a href="finseq_4.html#K3" title="FINSEQ_4:func.3">&lt;*</a><span class="default">2,1,3</span><a href="finseq_4.html#K3" title="FINSEQ_4:func.3">*&gt;</a></span> as   <a href="funct_2.html#NM2" title="FUNCT_2:NM.2">Permutation</a> of <span class="p1">(<span class="default"><a href="finseq_1.html#K2" title="FINSEQ_1:func.2">Seg</a> 3</span>)</span> <span class="kw">by</span> <span class="lab"><a class="ref" href="matrix_9.html#T27" target="_self" onmouseover="rs('matrix_9/T27')" onmouseout="rh()">Th27</a>, <a class="ref" href="matrix_1.html#D12" onmouseover="rs('matrix_1/D12')" onmouseout="rh()">MATRIX_1:def 12</a></span>;<br/>
<a NAME="E2:57"/>
 for <font color="Olive" title="b1">l</font> being   <a href="struct_0.html#NM7" title="STRUCT_0:NM.7">FinSequence</a> of <span class="p1">(<span class="default"><a href="matrix_1.html#K10" title="MATRIX_1:func.10">Group_of_Perm</a> 3</span>)</span>  holds <br/>(  not <span class="p1">(<span class="default"><a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Olive" title="b1">l</font></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 2 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  or  not <font color="Maroon" title="c1">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="group_4.html#K3" title="GROUP_4:func.3">Product</a> <font color="Olive" title="b1">l</font> or  ex <font color="Olive" title="b2">i</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> st <br/>( <font color="Olive" title="b2">i</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <font color="Olive" title="b1">l</font> &amp; (  for <font color="Olive" title="b3">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> 3  holds <br/>(  not <font color="Olive" title="b1">l</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b2">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">q</font> or  not <font color="Olive" title="b3">q</font> is  <a href="matrix_1.html#V5" title="MATRIX_1:attr.5">being_transposition</a>  ) ) ) )
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="matrix_9.html#E34"><span class="lab"><font color="Green" title="E28">Lm5</font></span></a>, <a class="txt" href="matrix_9.html#E40"><span class="lab"><font color="Green" title="E34">Lm11</font></span></a>, <a class="txt" href="matrix_9.html#E60"><span class="lab"><font color="Green" title="E51">Lm17</font></span></a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:57"/>
<span class="p1"><a href="finseq_4.html#K3" title="FINSEQ_4:func.3">&lt;*</a><span class="default">2,1,3</span><a href="finseq_4.html#K3" title="FINSEQ_4:func.3">*&gt;</a></span> is   <a href="matrix_1.html#NV7" title="MATRIX_1:NV.7">odd</a>  <a href="funct_2.html#NM2" title="FUNCT_2:NM.2">Permutation</a> of <span class="p1">(<span class="default"><a href="finseq_1.html#K2" title="FINSEQ_1:func.2">Seg</a> 3</span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="matrix_1.html#D15" onmouseover="rs('matrix_1/D15')" onmouseout="rh()">MATRIX_1:def 15</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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