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



<b>assume </b><a NAME="E1:35"/><i><font color="Green">E21</font></i>: 
( <font color="Maroon">c<sub>2</sub></font> is <a href="comseq_2.html#V2" target="_self">convergent</a> &amp; <font color="Maroon">c<sub>3</sub></font> is <a href="comseq_2.html#V2" target="_self">convergent</a> )
 ;<br/>

<a NAME="E2:35"/><b>then </b>
 <a href="comseq_1.html#K5">-</a> <font color="Maroon">c<sub>3</sub></font> is <a href="comseq_2.html#V2" target="_self">convergent</a>
 
<b>by </b><i><a class="ref" href="comseq_2.html#T21" target="_self">Th21</a></i>;<br/>
<a NAME="E3:35"/><b>then </b>
<font color="Maroon">c<sub>2</sub></font> <a href="comseq_1.html#K2">+</a> <span class="p1">(<span class="default"><a href="comseq_1.html#K5">-</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> is <a href="comseq_2.html#V2" target="_self">convergent</a>
 
<b>by </b><i><a class="txt" href="comseq_2.html#E1:35"><i><font color="Green">E21</font></i></a>, <a class="ref" href="comseq_2.html#T13" target="_self">Th13</a></i>;<br/>
<b>hence </b><a NAME="E4:35"/>
<font color="Maroon">c<sub>2</sub></font> <a href="comseq_1.html#K6">-</a> <font color="Maroon">c<sub>3</sub></font> is <a href="comseq_2.html#V2" target="_self">convergent</a>
 <b>by </b><i><a class="ref" href="comseq_1.html#D10">COMSEQ_1:def 10</a></i>;<br/>


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