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<b>let </b><font color="Maroon" title="c1">n</font> be    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> ;<br/><b>let </b><font color="Maroon" title="c2">c</font> be    <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/><b>let </b><font color="Maroon" title="c3">z1</font>, <font color="Maroon" title="c4">z2</font> be    <a href="finseq_2.html#M2" title="FINSEQ_2:mode.2">Element</a> of  <a href="complsp1.html#K8" title="COMPLSP1:func.8">COMPLEX</a> <font color="Maroon" title="c1">n</font>;<br/>







<b>set </b><font color="Maroon" title="c5">cM</font> = <font color="Maroon" title="c2">c</font> <a href="complsp1.html#K1" title="COMPLSP1:func.1">multcomplex</a> ;<br/>
<a NAME="E1:49"/>
<font color="Maroon" title="c2">c</font> <a href="complsp1.html#K1" title="COMPLSP1:func.1">multcomplex</a>  <a href="binop_1.html#R7" title="BINOP_1:pred.7">is_distributive_wrt</a>  <a href="binop_2.html#K27" title="BINOP_2:func.27">addcomplex</a> 
 
<b>by </b><i><a class="ref" href="complsp1.html#T15" target="_self" title="COMPLSP1:th.15">Th15</a>, <a class="ref" href="finseqop.html#T55" title="FINSEQOP:th.55">FINSEQOP:55</a></i>;<br/>
<b>hence </b><a NAME="E2:49"/>
<font color="Maroon" title="c2">c</font> <a href="complsp1.html#K14" title="COMPLSP1:func.14">*</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">z1</font> <a href="complsp1.html#K9" title="COMPLSP1:func.9">+</a> <font color="Maroon" title="c4">z2</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">c</font> <a href="complsp1.html#K14" title="COMPLSP1:func.14">*</a> <font color="Maroon" title="c3">z1</font></span>)</span> <a href="complsp1.html#K9" title="COMPLSP1:func.9">+</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">c</font> <a href="complsp1.html#K14" title="COMPLSP1:func.14">*</a> <font color="Maroon" title="c4">z2</font></span>)</span>
 <b>by </b><i><a class="ref" href="finseqop.html#T52" title="FINSEQOP:th.52">FINSEQOP:52</a></i>;<br/>


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