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<div><span class="kw">theorem </span><a NAME="T11"><span class="comment"><font color="firebrick">:: MATRIXR1:11</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">F1</font>, <font color="Olive" title="b2">F2</font>, <font color="Olive" title="b3">F3</font> being    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of  <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a>   st  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Olive" title="b1">F1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Olive" title="b2">F2</font> &amp;  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Olive" title="b2">F2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Olive" title="b3">F3</font> holds <br/><span class="p1">(<span class="default"><font color="Olive" title="b1">F1</font> <a href="rvsum_1.html#K8" title="RVSUM_1:func.8">-</a> <font color="Olive" title="b2">F2</font></span>)</span> <a href="rvsum_1.html#K8" title="RVSUM_1:func.8">-</a> <font color="Olive" title="b3">F3</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">F1</font> <a href="rvsum_1.html#K8" title="RVSUM_1:func.8">-</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">F2</font> <a href="rvsum_1.html#K4" title="RVSUM_1:func.4">+</a> <font color="Olive" title="b3">F3</font></span>)</span> <span class="kw">by</span> <span class="lab"><a class="ref" href="rvsum_1.html#T39" onmouseover="rs('rvsum_1/T39')" onmouseout="rh()">RVSUM_1:39</a></span>;<br/></div></div>
