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<span class="kw">let </span><font color="Maroon" title="c1">i</font> be   <a href="nat_1.html#NM1" title="NAT_1:NM.1">Nat</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">R1</font>, <font color="Olive" title="b2">R</font> being  <font color="Maroon" title="c1">i</font> <a href="card_1.html#V3" title="CARD_1:attr.3">-element</a>   <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of  <a href="numbers.html#K2" title="NUMBERS:func.2">COMPLEX</a>  holds  <font color="Olive" title="b1">R1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">R1</font> <a href="rvsum_2.html#K8" title="RVSUM_2:func.8">-</a> <font color="Olive" title="b2">R</font></span>)</span> <a href="rvsum_2.html#K4" title="RVSUM_2:func.4">+</a> <font color="Olive" title="b2">R</font></span><br/><span class="kw">let </span><font color="Maroon" title="c2">R1</font>, <font color="Maroon" title="c3">R</font> be  <font color="Maroon" title="c1">i</font> <a href="card_1.html#V3" title="CARD_1:attr.3">-element</a>   <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of  <a href="numbers.html#K2" title="NUMBERS:func.2">COMPLEX</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c2">R1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">R1</font> <a href="rvsum_2.html#K8" title="RVSUM_2:func.8">-</a> <font color="Maroon" title="c3">R</font></span>)</span> <a href="rvsum_2.html#K4" title="RVSUM_2:func.4">+</a> <font color="Maroon" title="c3">R</font></span><br/>





<span class="kw">thus </span><font color="Maroon" title="c2">R1</font> = 
<font color="Maroon" title="c2">R1</font> <a href="rvsum_2.html#K4" title="RVSUM_2:func.4">+</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">i</font> <a href="finseqop.html#K4" title="FINSEQOP:func.4">|-&gt;</a> <a href="complex1.html#K5" title="COMPLEX1:func.5">0c</a></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="binop_2.html#T1" title="BINOP_2:th.1">BINOP_2:1</a>, <a class="ref" href="finseqop.html#T56" title="FINSEQOP:th.56">FINSEQOP:56</a></span>
<br/>.= 
<font color="Maroon" title="c2">R1</font> <a href="rvsum_2.html#K4" title="RVSUM_2:func.4">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="rvsum_2.html#K6" title="RVSUM_2:func.6">-</a> <font color="Maroon" title="c3">R</font></span>)</span> <a href="rvsum_2.html#K4" title="RVSUM_2:func.4">+</a> <font color="Maroon" title="c3">R</font></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="binop_2.html#T1" title="BINOP_2:th.1">BINOP_2:1</a>, <a class="ref" href="finseqop.html#T73" title="FINSEQOP:th.73">FINSEQOP:73</a>, <a class="ref" href="seq_4.html#T51" title="SEQ_4:th.51">SEQ_4:51</a>, <a class="ref" href="seq_4.html#T52" title="SEQ_4:th.52">SEQ_4:52</a></span>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c2">R1</font> <a href="rvsum_2.html#K8" title="RVSUM_2:func.8">-</a> <font color="Maroon" title="c3">R</font></span>)</span> <a href="rvsum_2.html#K4" title="RVSUM_2:func.4">+</a> <font color="Maroon" title="c3">R</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="finseqop.html#T28" title="FINSEQOP:th.28">FINSEQOP:28</a></span>
; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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