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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E10">Th9</font></span>: <a NAME="T9"><span class="comment"><font color="firebrick">:: MATRIX_9:9</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">K</font> being   <a href="vectsp_1.html#NM5" title="VECTSP_1:NM.5">Field</a><br/>  for <font color="Olive" title="b2">a</font>, <font color="Olive" title="b3">b</font>, <font color="Olive" title="b4">c</font>, <font color="Olive" title="b5">d</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="b6">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> 2  st <font color="Olive" title="b6">p</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="finseq_2.html#K1" title="FINSEQ_2:func.1">idseq</a> 2 holds <br/> <a href="matrix_3.html#K10" title="MATRIX_3:func.10">Path_matrix</a> (<font color="Olive" title="b6">p</font>,<span class="p1">(<span class="default">(<font color="Olive" title="b2">a</font>,<font color="Olive" title="b3">b</font>) <a href="matrix_0.html#K15" title="MATRIX_0:func.15">][</a> (<font color="Olive" title="b4">c</font>,<font color="Olive" title="b5">d</font>)</span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="finseq_4.html#K2" title="FINSEQ_4:func.2">&lt;*</a><span class="default"><font color="Olive" title="b2">a</font>,<font color="Olive" title="b5">d</font></span><a href="finseq_4.html#K2" title="FINSEQ_4:func.2">*&gt;</a></span></div></div>
