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<b>let </b><font color="Maroon" title="c1">seq</font>, <font color="Maroon" title="c2">seq1</font> be   <a href="seq_1.html#NM1" title="SEQ_1:NM.1">Real_Sequence</a>;<br/>



<b>assume </b><a NAME="E1:39"/><i><font color="Green" title="E25">A1</font></i>: 
( <font color="Maroon" title="c1">seq</font> is <a href="seq_2.html#V1" title="SEQ_2:attr.1">bounded_above</a> &amp; <font color="Maroon" title="c2">seq1</font> is <a href="limfunc1.html#V1" title="LIMFUNC1:attr.1">divergent_to+infty</a> )
 ;<br/>

<i><font color="Green" title="E26">A2</font></i>: <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="real_1.html#K1" title="REAL_1:func.1">-</a> 1</span>)</span> <a href="seq_1.html#K14" title="SEQ_1:func.14">(#)</a> <font color="Maroon" title="c2">seq1</font></span>)</span> <a href="seq_1.html#K9" title="SEQ_1:func.9">+</a> <font color="Maroon" title="c1">seq</font> = 
<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">seq1</font></span>)</span>
<b>by </b><i><a class="ref" href="seq_1.html#T25" title="SEQ_1:th.25">SEQ_1:25</a></i>
<br/>.= 
<font color="Maroon" title="c1">seq</font> <a href="seq_1.html#K10" title="SEQ_1:func.10">-</a> <font color="Maroon" title="c2">seq1</font>
<b>by </b><i><a class="ref" href="seq_1.html#T15" title="SEQ_1:th.15">SEQ_1:15</a></i>
;<br/>
<a NAME="E3:39"/>
<span class="p1">(<span class="default"><a href="real_1.html#K1" title="REAL_1:func.1">-</a> 1</span>)</span> <a href="seq_1.html#K14" title="SEQ_1:func.14">(#)</a> <font color="Maroon" title="c2">seq1</font> is <a href="limfunc1.html#V2" title="LIMFUNC1:attr.2">divergent_to-infty</a>
 
<b>by </b><i><a class="txt" href="limfunc1.html#E1:39"><i><font color="Green" title="E25">A1</font></i></a>, <a class="ref" href="limfunc1.html#T40" target="_self" title="LIMFUNC1:th.40">Th40</a></i>;<br/>
<b>hence </b><a NAME="E4:39"/>
<font color="Maroon" title="c1">seq</font> <a href="seq_1.html#K10" title="SEQ_1:func.10">-</a> <font color="Maroon" title="c2">seq1</font> is <a href="limfunc1.html#V2" title="LIMFUNC1:attr.2">divergent_to-infty</a>
 <b>by </b><i><a class="txt" href="limfunc1.html#E1:39"><i><font color="Green" title="E25">A1</font></i></a>, <a class="txt" href="limfunc1.html#E2:39"><i><font color="Green" title="E26">A2</font></i></a>, <a class="ref" href="limfunc1.html#T39" target="_self" title="LIMFUNC1:th.39">Th39</a></i>;<br/>


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