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

<a NAME="E1:37"/><i><font color="Green" title="E25">A1</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="valued_1.html#K26" title="VALUED_1:func.26">(#)</a> <font color="Maroon" title="c1">seq</font> <a href="relset_1.html#R2" title="RELSET_1:pred.2">=</a>  <a href="valued_1.html#K32" title="VALUED_1:func.32">-</a> <font color="Maroon" title="c1">seq</font>
 
;<br/>
<b>hence </b><a NAME="E2:37"/>
( <font color="Maroon" title="c1">seq</font> is <a href="limfunc1.html#V1" title="LIMFUNC1:attr.1">divergent_to+infty</a> implies  <a href="valued_1.html#K32" title="VALUED_1:func.32">-</a> <font color="Maroon" title="c1">seq</font> is <a href="limfunc1.html#V2" title="LIMFUNC1:attr.2">divergent_to-infty</a> )
 <b>by </b><i><a class="ref" href="limfunc1.html#T40" target="_self" title="LIMFUNC1:th.40">Th40</a></i>;<br/>

<b>assume </b><a NAME="E3:37"/>
<font color="Maroon" title="c1">seq</font> is <a href="limfunc1.html#V2" title="LIMFUNC1:attr.2">divergent_to-infty</a>
 ;<br/>

<b>hence </b><a NAME="E4:37"/>
 <a href="valued_1.html#K32" title="VALUED_1:func.32">-</a> <font color="Maroon" title="c1">seq</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#E1:37"><i><font color="Green" title="E25">A1</font></i></a>, <a class="ref" href="limfunc1.html#T41" target="_self" title="LIMFUNC1:th.41">Th41</a></i>;<br/>


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