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<span class="kw">let </span><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:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c1">seq</font> is  <a href="comseq_1.html#NV1" title="COMSEQ_1:NV.1">non-zero</a>  &amp; <font color="Maroon" title="c2">seq1</font> is  <a href="comseq_1.html#NV1" title="COMSEQ_1:NV.1">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="comseq_1.html#NV1" title="COMSEQ_1:NV.1">non-zero</a>  )</span><br/>



<span class="kw">assume </span><span class="kw">that </span><br/><a NAME="E1:34"/><span class="lab"><font color="Green" title="E17">A1</font></span>: 
<font color="Maroon" title="c1">seq</font> is  <a href="comseq_1.html#NV1" title="COMSEQ_1:NV.1">non-zero</a> 
 <span class="kw">and </span><br/><a NAME="E2:34"/><span class="lab"><font color="Green" title="E18">A2</font></span>: 
<font color="Maroon" title="c2">seq1</font> is  <a href="comseq_1.html#NV1" title="COMSEQ_1:NV.1">non-zero</a> 
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></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="comseq_1.html#NV1" title="COMSEQ_1:NV.1">non-zero</a> </span><br/>

<a NAME="E3:34"/>
<font color="Maroon" title="c2">seq1</font> <a href="valued_1.html#K36" title="VALUED_1:func.36">"</a>  is  <a href="comseq_1.html#NV1" title="COMSEQ_1:NV.1">non-zero</a> 
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:34"><span class="lab"><font color="Green" title="E18">A2</font></span></a>, <a class="ref" href="comseq_1.html#T30" target="_self" title="COMSEQ_1:th.30">Th30</a></span>;<br/>
<span class="kw">hence </span><a NAME="E4:34"/>
<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="comseq_1.html#NV1" title="COMSEQ_1:NV.1">non-zero</a> 
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:34"><span class="lab"><font color="Green" title="E17">A1</font></span></a>, <a class="ref" href="comseq_1.html#T32" target="_self" title="COMSEQ_1:th.32">Th32</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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