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<b>let </b><font color="Maroon" title="c1">n</font> be    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> for <font color="Olive" title="b1">z</font> being   <a href="finseq_2.html#M2" title="FINSEQ_2:mode.2">Element</a> of  <a href="complsp1.html#K8" title="COMPLSP1:func.8">COMPLEX</a> <font color="Maroon" title="c1">n</font> holds  <font color="Olive" title="b1">z</font> <a href="complsp1.html#K13" title="COMPLSP1:func.13">-</a> <span class="p1">(<span class="default"><a href="complsp1.html#K11" title="COMPLSP1:func.11">0c</a> <font color="Maroon" title="c1">n</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">z</font></span><br/><b>let </b><font color="Maroon" title="c2">z</font> be    <a href="finseq_2.html#M2" title="FINSEQ_2:mode.2">Element</a> of  <a href="complsp1.html#K8" title="COMPLSP1:func.8">COMPLEX</a> <font color="Maroon" title="c1">n</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c2">z</font> <a href="complsp1.html#K13" title="COMPLSP1:func.13">-</a> <span class="p1">(<span class="default"><a href="complsp1.html#K11" title="COMPLSP1:func.11">0c</a> <font color="Maroon" title="c1">n</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">z</font></span><br/>



<b>thus </b><font color="Maroon" title="c2">z</font> <a href="complsp1.html#K13" title="COMPLSP1:func.13">-</a> <span class="p1">(<span class="default"><a href="complsp1.html#K11" title="COMPLSP1:func.11">0c</a> <font color="Maroon" title="c1">n</font></span>)</span> = 
<font color="Maroon" title="c2">z</font> <a href="complsp1.html#K9" title="COMPLSP1:func.9">+</a> <span class="p1">(<span class="default"><a href="complsp1.html#K11" title="COMPLSP1:func.11">0c</a> <font color="Maroon" title="c1">n</font></span>)</span>
<b>by </b><i><a class="txt" href="complsp1.html#E45"><i><font color="Green" title="E11">Lm3</font></i></a></i>
<br/>.= 
<font color="Maroon" title="c2">z</font>
<b>by </b><i><a class="ref" href="binop_2.html#T1" title="BINOP_2:th.1">BINOP_2:1</a>, <a class="ref" href="finseqop.html#T57" title="FINSEQOP:th.57">FINSEQOP:57</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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