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<b>let </b><font color="Maroon" title="c1">seq</font>, <font color="Maroon" title="c2">seq'</font> be   <a href="seq_1.html#NM1" title="SEQ_1:NM.1">Real_Sequence</a>;<br/>



<b>assume </b><b>that </b><br/><a NAME="E1:18"/><i><font color="Green" title="E22">A1</font></i>: 
<font color="Maroon" title="c1">seq</font> is <a href="seq_2.html#V4" title="SEQ_2:attr.4">convergent</a>
 <b>and </b><br/><a NAME="E2:18"/><i><font color="Green" title="E23">A2</font></i>: 
<font color="Maroon" title="c2">seq'</font> is <a href="seq_2.html#V4" title="SEQ_2:attr.4">convergent</a>
 ;<br/>

<a NAME="E3:18"/>
 <a href="seq_1.html#K17" title="SEQ_1:func.17">-</a> <font color="Maroon" title="c2">seq'</font> is <a href="seq_2.html#V4" title="SEQ_2:attr.4">convergent</a>
 
<b>by </b><i><a class="txt" href="seq_2.html#E2:18"><i><font color="Green" title="E23">A2</font></i></a>, <a class="ref" href="seq_2.html#T23" target="_self" title="SEQ_2:th.23">Th23</a></i>;<br/>
<a NAME="E4:18"/><b>then </b>
<font color="Maroon" title="c1">seq</font> <a href="seq_1.html#K9" title="SEQ_1:func.9">+</a> <span class="p1">(<span class="default"><a href="seq_1.html#K17" title="SEQ_1:func.17">-</a> <font color="Maroon" title="c2">seq'</font></span>)</span> is <a href="seq_2.html#V4" title="SEQ_2:attr.4">convergent</a>
 
<b>by </b><i><a class="txt" href="seq_2.html#E1:18"><i><font color="Green" title="E22">A1</font></i></a>, <a class="ref" href="seq_2.html#T19" target="_self" title="SEQ_2:th.19">Th19</a></i>;<br/>
<b>hence </b><a NAME="E5:18"/>
<font color="Maroon" title="c1">seq</font> <a href="seq_1.html#K10" title="SEQ_1:func.10">-</a> <font color="Maroon" title="c2">seq'</font> is <a href="seq_2.html#V4" title="SEQ_2:attr.4">convergent</a>
 <b>by </b><i><a class="ref" href="seq_1.html#T15" title="SEQ_1:th.15">SEQ_1:15</a></i>;<br/>


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