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<b>let </b><font color="Maroon">n</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<br/><b>let </b><font color="Maroon">c</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K2">COMPLEX</a> ;<br/><b>let </b><font color="Maroon">z1</font> be    <a href="finseq_2.html#M2">Element</a> of  <a href="complsp1.html#K8" target="_self">COMPLEX</a> <font color="Maroon">n</font>;<br/><b>let </b><font color="Maroon">z2</font> be    <a href="finseq_2.html#M2">Element</a> of  <a href="complsp1.html#K8" target="_self">COMPLEX</a> <font color="Maroon">n</font>;<br/>







<b>set </b><font color="Maroon">cM</font> = <font color="Maroon">c</font> <a href="complsp1.html#K1" target="_self">multcomplex</a> ;<br/>
<a NAME="E1:49"/><i><font color="Green">E59</font></i>: 
<font color="Maroon">c</font> <a href="complsp1.html#K1" target="_self">multcomplex</a>  <a href="binop_1.html#R7">is_distributive_wrt</a>  <a href="binop_2.html#K27">addcomplex</a> 
 
<b>by </b><i/>;<br/>
<b>thus </b><a NAME="E2:49"/>
<font color="Maroon">c</font> <a href="complsp1.html#K14" target="_self">*</a> <span class="p1">(<span class="default"><font color="Maroon">z1</font> <a href="complsp1.html#K9" target="_self">+</a> <font color="Maroon">z2</font></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">c</font> <a href="complsp1.html#K14" target="_self">*</a> <font color="Maroon">z1</font></span>)</span> <a href="complsp1.html#K9" target="_self">+</a> <span class="p1">(<span class="default"><font color="Maroon">c</font> <a href="complsp1.html#K14" target="_self">*</a> <font color="Maroon">z2</font></span>)</span>
 <b>by </b><i><a class="txt" href="complsp1.html#E23"><i><font color="Green">Lemma43</font></i></a>, <a class="ref" href="finseqop.html#T52">FINSEQOP:52</a></i>;<br/>


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