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<div><span class="kw">theorem </span><a NAME="T29"><span class="comment"><font color="firebrick">:: MATRLIN2:29</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">V1</font> being   <a href="matrlin.html#V1" title="MATRLIN:attr.1">finite-dimensional</a>  <a href="vectsp_1.html#NM9" title="VECTSP_1:NM.9">VectSp</a> of <font color="Olive" title="b1">K</font><br/>  for <font color="Olive" title="b3">b1</font>, <font color="Olive" title="b4">b19</font> being    <a href="matrlin.html#M1" title="MATRLIN:mode.1">OrdBasis</a> of <font color="Olive" title="b2">V1</font> holds <br/> (  <a href="matrlin2.html#K3" title="MATRLIN2:func.3">AutEqMt</a> (<span class="p1">(<span class="default"><a href="struct_0.html#K3" title="STRUCT_0:func.3">id</a> <font color="Olive" title="b2">V1</font></span>)</span>,<font color="Olive" title="b3">b1</font>,<font color="Olive" title="b4">b19</font>) is  <a href="matrix_6.html#V1" title="MATRIX_6:attr.1">invertible</a>  &amp;  <a href="matrlin2.html#K3" title="MATRLIN2:func.3">AutEqMt</a> (<span class="p1">(<span class="default"><a href="struct_0.html#K3" title="STRUCT_0:func.3">id</a> <font color="Olive" title="b2">V1</font></span>)</span>,<font color="Olive" title="b4">b19</font>,<font color="Olive" title="b3">b1</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="matrlin2.html#K3" title="MATRLIN2:func.3">AutEqMt</a> (<span class="p2">(<span class="default"><a href="struct_0.html#K3" title="STRUCT_0:func.3">id</a> <font color="Olive" title="b2">V1</font></span>)</span>,<font color="Olive" title="b3">b1</font>,<font color="Olive" title="b4">b19</font>)</span>)</span> <a href="matrix_6.html#K1" title="MATRIX_6:func.1">~</a>  )</div></div>
