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<b>let </b><font color="Maroon">x</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">y</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K2">COMPLEX</a> ;<br/>



<span class="p1">(<span class="default"><font color="Maroon">x</font> <a href="complex1.html#K8">+</a> <font color="Maroon">y</font></span>)</span> <a href="complex2.html#K1" target="_self">.|.</a> <span class="p1">(<span class="default"><font color="Maroon">x</font> <a href="complex1.html#K8">+</a> <font color="Maroon">y</font></span>)</span> = 
<span class="p1">(<span class="default"><font color="Maroon">x</font> <a href="complex2.html#K1" target="_self">.|.</a> <span class="p2">(<span class="default"><font color="Maroon">x</font> <a href="complex1.html#K8">+</a> <font color="Maroon">y</font></span>)</span></span>)</span> <a href="complex1.html#K8">+</a> <span class="p1">(<span class="default"><font color="Maroon">y</font> <a href="complex2.html#K1" target="_self">.|.</a> <span class="p2">(<span class="default"><font color="Maroon">x</font> <a href="complex1.html#K8">+</a> <font color="Maroon">y</font></span>)</span></span>)</span>

<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">x</font> <a href="complex2.html#K1" target="_self">.|.</a> <font color="Maroon">x</font></span>)</span> <a href="complex1.html#K8">+</a> <span class="p2">(<span class="default"><font color="Maroon">x</font> <a href="complex2.html#K1" target="_self">.|.</a> <font color="Maroon">y</font></span>)</span></span>)</span> <a href="complex1.html#K8">+</a> <span class="p1">(<span class="default"><font color="Maroon">y</font> <a href="complex2.html#K1" target="_self">.|.</a> <span class="p2">(<span class="default"><font color="Maroon">x</font> <a href="complex1.html#K8">+</a> <font color="Maroon">y</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="complex2.html#T4" target="_self">Th4</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">x</font> <a href="complex2.html#K1" target="_self">.|.</a> <font color="Maroon">x</font></span>)</span> <a href="complex1.html#K8">+</a> <span class="p2">(<span class="default"><font color="Maroon">x</font> <a href="complex2.html#K1" target="_self">.|.</a> <font color="Maroon">y</font></span>)</span></span>)</span> <a href="complex1.html#K8">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">y</font> <a href="complex2.html#K1" target="_self">.|.</a> <font color="Maroon">x</font></span>)</span> <a href="complex1.html#K8">+</a> <span class="p2">(<span class="default"><font color="Maroon">y</font> <a href="complex2.html#K1" target="_self">.|.</a> <font color="Maroon">y</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="complex2.html#T4" target="_self">Th4</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">x</font> <a href="complex2.html#K1" target="_self">.|.</a> <font color="Maroon">x</font></span>)</span> <a href="complex1.html#K8">+</a> <span class="p3">(<span class="default"><font color="Maroon">x</font> <a href="complex2.html#K1" target="_self">.|.</a> <font color="Maroon">y</font></span>)</span></span>)</span> <a href="complex1.html#K8">+</a> <span class="p2">(<span class="default"><font color="Maroon">y</font> <a href="complex2.html#K1" target="_self">.|.</a> <font color="Maroon">x</font></span>)</span></span>)</span> <a href="complex1.html#K8">+</a> <span class="p1">(<span class="default"><font color="Maroon">y</font> <a href="complex2.html#K1" target="_self">.|.</a> <font color="Maroon">y</font></span>)</span>

;<br/>
<b>hence </b><a NAME="E2:45"/>
<span class="p1">(<span class="default"><font color="Maroon">x</font> <a href="complex1.html#K8">+</a> <font color="Maroon">y</font></span>)</span> <a href="complex2.html#K1" target="_self">.|.</a> <span class="p1">(<span class="default"><font color="Maroon">x</font> <a href="complex1.html#K8">+</a> <font color="Maroon">y</font></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">x</font> <a href="complex2.html#K1" target="_self">.|.</a> <font color="Maroon">x</font></span>)</span> <a href="complex1.html#K8">+</a> <span class="p3">(<span class="default"><font color="Maroon">x</font> <a href="complex2.html#K1" target="_self">.|.</a> <font color="Maroon">y</font></span>)</span></span>)</span> <a href="complex1.html#K8">+</a> <span class="p2">(<span class="default"><font color="Maroon">y</font> <a href="complex2.html#K1" target="_self">.|.</a> <font color="Maroon">x</font></span>)</span></span>)</span> <a href="complex1.html#K8">+</a> <span class="p1">(<span class="default"><font color="Maroon">y</font> <a href="complex2.html#K1" target="_self">.|.</a> <font color="Maroon">y</font></span>)</span>
 ;<br/>


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