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<div><span class="kw">theorem </span><a NAME="T80"><span class="comment"><font color="firebrick">:: COMPLSP2:80</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">a</font>, <font color="Olive" title="b2">b</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#K2" title="NUMBERS:func.2">COMPLEX</a> <br/>  for <font color="Olive" title="b3">x</font>, <font color="Olive" title="b4">y</font>, <font color="Olive" title="b5">z</font> being    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of  <a href="numbers.html#K2" title="NUMBERS:func.2">COMPLEX</a>   st  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Olive" title="b3">x</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="b4">y</font> &amp;  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Olive" title="b4">y</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="b5">z</font> holds <br/><span class="p1"><a href="complsp2.html#K8" title="COMPLSP2:func.8">|(</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Olive" title="b1">a</font> <a href="seq_4.html#K10" title="SEQ_4:func.10">*</a> <font color="Olive" title="b3">x</font></span>)</span> <a href="seq_4.html#K7" title="SEQ_4:func.7">+</a> <span class="p3">(<span class="default"><font color="Olive" title="b2">b</font> <a href="seq_4.html#K10" title="SEQ_4:func.10">*</a> <font color="Olive" title="b4">y</font></span>)</span></span>)</span>,<font color="Olive" title="b5">z</font></span><a href="complsp2.html#K8" title="COMPLSP2:func.8">)|</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">a</font> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <span class="p2"><a href="complsp2.html#K8" title="COMPLSP2:func.8">|(</a><span class="default"><font color="Olive" title="b3">x</font>,<font color="Olive" title="b5">z</font></span><a href="complsp2.html#K8" title="COMPLSP2:func.8">)|</a></span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">b</font> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <span class="p2"><a href="complsp2.html#K8" title="COMPLSP2:func.8">|(</a><span class="default"><font color="Olive" title="b4">y</font>,<font color="Olive" title="b5">z</font></span><a href="complsp2.html#K8" title="COMPLSP2:func.8">)|</a></span></span>)</span></div></div>
