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<b>let </b><font color="Maroon" title="c3">s</font>, <font color="Maroon" title="c4">s'</font> be   <a href="comseq_1.html#NM1" title="COMSEQ_1:NM.1">Complex_Sequence</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c3">s</font> is <a href="comseq_2.html#V1" title="COMSEQ_2:attr.1">convergent</a> &amp; <font color="Maroon" title="c4">s'</font> is <a href="comseq_2.html#V1" title="COMSEQ_2:attr.1">convergent</a> implies <font color="Maroon" title="c3">s</font> <a href="valued_1.html#K46" title="VALUED_1:func.46">-</a> <font color="Maroon" title="c4">s'</font> is <a href="comseq_2.html#V1" title="COMSEQ_2:attr.1">convergent</a> )</span><br/>



<b>assume </b><a NAME="E1:34"/><i><font color="Green" title="E19">A1</font></i>: 
( <font color="Maroon" title="c3">s</font> is <a href="comseq_2.html#V1" title="COMSEQ_2:attr.1">convergent</a> &amp; <font color="Maroon" title="c4">s'</font> is <a href="comseq_2.html#V1" title="COMSEQ_2:attr.1">convergent</a> )
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c3">s</font> <a href="valued_1.html#K46" title="VALUED_1:func.46">-</a> <font color="Maroon" title="c4">s'</font> is <a href="comseq_2.html#V1" title="COMSEQ_2:attr.1">convergent</a></span><br/>

<a NAME="E2:34"/><b>then </b>
 <a href="valued_1.html#K31" title="VALUED_1:func.31">-</a> <font color="Maroon" title="c4">s'</font> is <a href="comseq_2.html#V1" title="COMSEQ_2:attr.1">convergent</a>
 
;<br/>
<b>hence </b><a NAME="E3:34"/>
<font color="Maroon" title="c3">s</font> <a href="valued_1.html#K46" title="VALUED_1:func.46">-</a> <font color="Maroon" title="c4">s'</font> is <a href="comseq_2.html#V1" title="COMSEQ_2:attr.1">convergent</a>
 <b>by </b><i><a class="txt" href="#E1:34"><i><font color="Green" title="E19">A1</font></i></a>, <a class="ref" href="comseq_2.html#T13" target="_self" title="COMSEQ_2:th.13">Th13</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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