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<b>let </b><font color="Maroon">c<sub>1</sub></font>, <font color="Maroon">c<sub>2</sub></font>, <font color="Maroon">c<sub>3</sub></font>, <font color="Maroon">c<sub>4</sub></font> be   <a href="comseq_1.html#NM1">Complex_Sequence</a>;<br/>







<b>assume </b><b>that </b><br/><a NAME="E1:58"/><i><font color="Green">E43</font></i>: 
<font color="Maroon">c<sub>1</sub></font> is <a href="comseq_1.html#V1" target="_self">non-zero</a>
 <b>and </b><br/><a NAME="E2:58"/><i><font color="Green">E44</font></i>: 
<font color="Maroon">c<sub>2</sub></font> is <a href="comseq_1.html#V1" target="_self">non-zero</a>
 ;<br/>

<b>thus </b><span class="p1">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="comseq_1.html#K8" target="_self">/"</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="comseq_1.html#K2" target="_self">+</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="comseq_1.html#K8" target="_self">/"</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="comseq_1.html#K3" target="_self">(#)</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="comseq_1.html#K8" target="_self">/"</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="comseq_1.html#K3" target="_self">(#)</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="comseq_1.html#K2" target="_self">+</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="comseq_1.html#K8" target="_self">/"</a> <font color="Maroon">c<sub>2</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="comseq_1.html#E1:58"><i><font color="Green">E43</font></i></a>, <a class="txt" href="comseq_1.html#E2:58"><i><font color="Green">E44</font></i></a>, <a class="ref" href="comseq_1.html#T40" target="_self">Th40</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="comseq_1.html#K3" target="_self">(#)</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="comseq_1.html#K8" target="_self">/"</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="comseq_1.html#K3" target="_self">(#)</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="comseq_1.html#K2" target="_self">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="comseq_1.html#K3" target="_self">(#)</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="comseq_1.html#K8" target="_self">/"</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="comseq_1.html#K3" target="_self">(#)</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="comseq_1.html#E1:58"><i><font color="Green">E43</font></i></a>, <a class="txt" href="comseq_1.html#E2:58"><i><font color="Green">E44</font></i></a>, <a class="ref" href="comseq_1.html#T40" target="_self">Th40</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="comseq_1.html#K3" target="_self">(#)</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="comseq_1.html#K2" target="_self">+</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="comseq_1.html#K3" target="_self">(#)</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span> <a href="comseq_1.html#K8" target="_self">/"</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="comseq_1.html#K3" target="_self">(#)</a> <font color="Maroon">c<sub>2</sub></font></span>)</span>
<b>by </b><i><a class="ref" href="comseq_1.html#T46" target="_self">Th46</a></i>
;<br/>

<b>thus </b><span class="p1">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="comseq_1.html#K8" target="_self">/"</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="comseq_1.html#K6" target="_self">-</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="comseq_1.html#K8" target="_self">/"</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="comseq_1.html#K3" target="_self">(#)</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="comseq_1.html#K8" target="_self">/"</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="comseq_1.html#K3" target="_self">(#)</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="comseq_1.html#K6" target="_self">-</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="comseq_1.html#K8" target="_self">/"</a> <font color="Maroon">c<sub>2</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="comseq_1.html#E1:58"><i><font color="Green">E43</font></i></a>, <a class="txt" href="comseq_1.html#E2:58"><i><font color="Green">E44</font></i></a>, <a class="ref" href="comseq_1.html#T40" target="_self">Th40</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="comseq_1.html#K3" target="_self">(#)</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="comseq_1.html#K8" target="_self">/"</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="comseq_1.html#K3" target="_self">(#)</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="comseq_1.html#K6" target="_self">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="comseq_1.html#K3" target="_self">(#)</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="comseq_1.html#K8" target="_self">/"</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="comseq_1.html#K3" target="_self">(#)</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="comseq_1.html#E1:58"><i><font color="Green">E43</font></i></a>, <a class="txt" href="comseq_1.html#E2:58"><i><font color="Green">E44</font></i></a>, <a class="ref" href="comseq_1.html#T40" target="_self">Th40</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="comseq_1.html#K3" target="_self">(#)</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="comseq_1.html#K6" target="_self">-</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="comseq_1.html#K3" target="_self">(#)</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span> <a href="comseq_1.html#K8" target="_self">/"</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="comseq_1.html#K3" target="_self">(#)</a> <font color="Maroon">c<sub>2</sub></font></span>)</span>
<b>by </b><i><a class="ref" href="comseq_1.html#T46" target="_self">Th46</a></i>
;<br/>


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