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<div><span class="kw">theorem </span><a NAME="T15"><span class="comment"><font color="firebrick">:: MATRIX16:15</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">n</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a> <br/>  for <font color="Olive" title="b2">K</font> being   <a href="vectsp_1.html#NM5" title="VECTSP_1:NM.5">Field</a><br/>  for <font color="Olive" title="b3">a</font>, <font color="Olive" title="b4">b</font>, <font color="Olive" title="b5">c</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b2">K</font><br/>  for <font color="Olive" title="b6">M1</font>, <font color="Olive" title="b7">M2</font>, <font color="Olive" title="b8">M3</font> being   <a href="matrix_1.html#NM2" title="MATRIX_1:NM.2">Matrix</a> of <font color="Olive" title="b1">n</font>,<font color="Olive" title="b2">K</font>  st <font color="Olive" title="b6">M1</font> is  <a href="matrix16.html#V1" title="MATRIX16:attr.1">line_circulant</a>  &amp; <font color="Olive" title="b7">M2</font> is  <a href="matrix16.html#V1" title="MATRIX16:attr.1">line_circulant</a>  &amp; <font color="Olive" title="b8">M3</font> is  <a href="matrix16.html#V1" title="MATRIX16:attr.1">line_circulant</a>  holds <br/><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b3">a</font> <a href="matrix13.html#K2" title="MATRIX13:func.2">*</a> <font color="Olive" title="b6">M1</font></span>)</span> <a href="matrix_4.html#K1" title="MATRIX_4:func.1">-</a> <span class="p2">(<span class="default"><font color="Olive" title="b4">b</font> <a href="matrix13.html#K2" title="MATRIX13:func.2">*</a> <font color="Olive" title="b7">M2</font></span>)</span></span>)</span> <a href="matrix_4.html#K1" title="MATRIX_4:func.1">-</a> <span class="p1">(<span class="default"><font color="Olive" title="b5">c</font> <a href="matrix13.html#K2" title="MATRIX13:func.2">*</a> <font color="Olive" title="b8">M3</font></span>)</span> is  <a href="matrix16.html#V1" title="MATRIX16:attr.1">line_circulant</a> </div></div>
