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<b>let </b><font color="Maroon" title="c2">seq1</font>, <font color="Maroon" title="c3">seq2</font> be   <a href="seq_1.html#NM1" title="SEQ_1:NM.1">Real_Sequence</a>;<br/>



<b>assume </b><a NAME="E1:49"/><i><font color="Green" title="E29">A1</font></i>: 
( <font color="Maroon" title="c2">seq1</font> is <a href="limfunc1.html#V2" title="LIMFUNC1:attr.2">divergent_to-infty</a> &amp; <font color="Maroon" title="c3">seq2</font> is <a href="limfunc1.html#V2" title="LIMFUNC1:attr.2">divergent_to-infty</a> )
 ;<br/>

<a NAME="E2:49"/><b>then </b><i><font color="Green" title="E30">A2</font></i>: 
<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#V1" title="LIMFUNC1:attr.1">divergent_to+infty</a>
 
<b>by </b><i><a class="ref" href="limfunc1.html#T41" target="_self" title="LIMFUNC1:th.41">Th41</a></i>;<br/>
<a NAME="E3:49"/><i><font color="Green" title="E31">A3</font></i>: 
<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="c3">seq2</font> is <a href="limfunc1.html#V1" title="LIMFUNC1:attr.1">divergent_to+infty</a>
 
<b>by </b><i><a class="txt" href="limfunc1.html#E1:49"><i><font color="Green" title="E29">A1</font></i></a>, <a class="ref" href="limfunc1.html#T41" target="_self" title="LIMFUNC1:th.41">Th41</a></i>;<br/>
<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#K11" title="SEQ_1:func.11">(#)</a> <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="c3">seq2</font></span>)</span> = 
<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> <span class="p1">(<span class="default"><font color="Maroon" title="c2">seq1</font> <a href="seq_1.html#K11" title="SEQ_1:func.11">(#)</a> <span class="p2">(<span class="default"><span class="p3">(<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="c3">seq2</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="seq_1.html#T26" title="SEQ_1:th.26">SEQ_1:26</a></i>
<br/>.= 
<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> <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> <span class="p2">(<span class="default"><font color="Maroon" title="c2">seq1</font> <a href="seq_1.html#K11" title="SEQ_1:func.11">(#)</a> <font color="Maroon" title="c3">seq2</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="seq_1.html#T27" title="SEQ_1:th.27">SEQ_1:27</a></i>
<br/>.= 
1 <a href="seq_1.html#K14" title="SEQ_1:func.14">(#)</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">seq1</font> <a href="seq_1.html#K11" title="SEQ_1:func.11">(#)</a> <font color="Maroon" title="c3">seq2</font></span>)</span>
<b>by </b><i><a class="txt" href="limfunc1.html#E1"><i><font color="Green" title="E1">Lm1</font></i></a>, <a class="ref" href="seq_1.html#T31" title="SEQ_1:th.31">SEQ_1:31</a></i>
<br/>.= 
<font color="Maroon" title="c2">seq1</font> <a href="seq_1.html#K11" title="SEQ_1:func.11">(#)</a> <font color="Maroon" title="c3">seq2</font>
<b>by </b><i><a class="ref" href="seq_1.html#T35" title="SEQ_1:th.35">SEQ_1:35</a></i>
;<br/>
<b>hence </b><a NAME="E5:49"/>
<font color="Maroon" title="c2">seq1</font> <a href="seq_1.html#K11" title="SEQ_1:func.11">(#)</a> <font color="Maroon" title="c3">seq2</font> is <a href="limfunc1.html#V1" title="LIMFUNC1:attr.1">divergent_to+infty</a>
 <b>by </b><i><a class="txt" href="limfunc1.html#E2:49"><i><font color="Green" title="E30">A2</font></i></a>, <a class="txt" href="limfunc1.html#E3:49"><i><font color="Green" title="E31">A3</font></i></a>, <a class="ref" href="limfunc1.html#T37" target="_self" title="LIMFUNC1:th.37">Th37</a></i>;<br/>


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