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<b>let </b><font color="Maroon" title="c1">seq</font>, <font color="Maroon" title="c2">seq1</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="c1">seq</font> is <a href="relat_1.html#V2" title="RELAT_1:attr.2">non-zero</a> &amp; <font color="Maroon" title="c2">seq1</font> is <a href="relat_1.html#V2" title="RELAT_1:attr.2">non-zero</a> implies <font color="Maroon" title="c1">seq</font> <a href="valued_1.html#K51" title="VALUED_1:func.51">/"</a> <font color="Maroon" title="c2">seq1</font> is <a href="relat_1.html#V2" title="RELAT_1:attr.2">non-zero</a> )</span><br/>



<b>assume </b><b>that </b><br/><a NAME="E1:31"/><i><font color="Green" title="E17">A1</font></i>: 
<font color="Maroon" title="c1">seq</font> is <a href="relat_1.html#V2" title="RELAT_1:attr.2">non-zero</a>
 <b>and </b><br/><a NAME="E2:31"/><i><font color="Green" title="E18">A2</font></i>: 
<font color="Maroon" title="c2">seq1</font> is <a href="relat_1.html#V2" title="RELAT_1:attr.2">non-zero</a>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c1">seq</font> <a href="valued_1.html#K51" title="VALUED_1:func.51">/"</a> <font color="Maroon" title="c2">seq1</font> is <a href="relat_1.html#V2" title="RELAT_1:attr.2">non-zero</a></span><br/>

<a NAME="E3:31"/>
<font color="Maroon" title="c2">seq1</font> <a href="valued_1.html#K36" title="VALUED_1:func.36">"</a>  is <a href="relat_1.html#V2" title="RELAT_1:attr.2">non-zero</a>
 
<b>by </b><i><a class="txt" href="#E2:31"><i><font color="Green" title="E18">A2</font></i></a>, <a class="ref" href="comseq_1.html#T30" target="_self" title="COMSEQ_1:th.30">Th30</a></i>;<br/>
<b>hence </b><a NAME="E4:31"/>
<font color="Maroon" title="c1">seq</font> <a href="valued_1.html#K51" title="VALUED_1:func.51">/"</a> <font color="Maroon" title="c2">seq1</font> is <a href="relat_1.html#V2" title="RELAT_1:attr.2">non-zero</a>
 <b>by </b><i><a class="txt" href="#E1:31"><i><font color="Green" title="E17">A1</font></i></a>, <a class="ref" href="comseq_1.html#T32" target="_self" title="COMSEQ_1:th.32">Th32</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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