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<div><span class="kw">theorem </span><a NAME="T11"><span class="comment"><font color="firebrick">:: MATRIX10:11</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive" title="b2">M1</font>, <font color="Olive" title="b3">M2</font> being   <a href="matrix_0.html#NM3" title="MATRIX_0:NM.3">Matrix</a> of <font color="Olive" title="b1">n</font>,<a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a>  st <font color="Olive" title="b2">M1</font> is  <a href="matrix10.html#V1" title="MATRIX10:attr.1">Positive</a>  &amp; <font color="Olive" title="b3">M2</font> is  <a href="matrix10.html#V2" title="MATRIX10:attr.2">Negative</a>  &amp; <span class="p1"><a href="matrix10.html#K3" title="MATRIX10:func.3">|:</a><span class="default"><font color="Olive" title="b3">M2</font></span><a href="matrix10.html#K3" title="MATRIX10:func.3">:|</a></span> <a href="matrix10.html#R1" title="MATRIX10:pred.1">is_less_than</a> <span class="p1"><a href="matrix10.html#K3" title="MATRIX10:func.3">|:</a><span class="default"><font color="Olive" title="b2">M1</font></span><a href="matrix10.html#K3" title="MATRIX10:func.3">:|</a></span> holds <br/><font color="Olive" title="b2">M1</font> <a href="matrix10.html#K4" title="MATRIX10:func.4">+</a> <font color="Olive" title="b3">M2</font> is  <a href="matrix10.html#V1" title="MATRIX10:attr.1">Positive</a> </div></div>
