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<b>let </b><font color="Maroon">i</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<br/><b>let </b><font color="Maroon">K</font> be  non <a href="struct_0.html#V3">empty</a> <a href="rlvect_1.html#V4">add-associative</a> <a href="rlvect_1.html#V5">right_zeroed</a> <a href="rlvect_1.html#V6">right_complementable</a> <a href="algstr_1.html#V1">left_zeroed</a>  <a href="rlvect_1.html#L1">LoopStr</a> ;<br/><b>let </b><font color="Maroon">R1</font> be    <a href="finseq_2.html#M2">Element</a> of <font color="Maroon">i</font> <a href="finseq_2.html#K4">-tuples_on</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">K</font>;<br/><b>let </b><font color="Maroon">R2</font> be    <a href="finseq_2.html#M2">Element</a> of <font color="Maroon">i</font> <a href="finseq_2.html#K4">-tuples_on</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">K</font>;<br/>







<a NAME="E1:39"/><i><font color="Green">E48</font></i>: 
(  <a href="binop_1.html#K3">the_unity_wrt</a> the <a href="rlvect_1.html#U1">add</a> of <font color="Maroon">K</font> <a href="hidden.html#R1">=</a>  <a href="rlvect_1.html#K1">0.</a> <font color="Maroon">K</font> &amp; the <a href="rlvect_1.html#U1">add</a> of <font color="Maroon">K</font> <a href="setwiseo.html#NR1" target="_self">has_a_unity</a>  )
 
<b>by </b><i>, </i>;<br/>
<a NAME="E2:39"/><i><font color="Green">E55</font></i>: 
( the <a href="rlvect_1.html#U1">add</a> of <font color="Maroon">K</font> <a href="finseqop.html#NR2" target="_self">has_an_inverseOp</a>  &amp;  <a href="finseqop.html#K6">the_inverseOp_wrt</a> the <a href="rlvect_1.html#U1">add</a> of <font color="Maroon">K</font> <a href="funct_2.html#R2">=</a>  <a href="vectsp_1.html#K7">comp</a> <font color="Maroon">K</font> )
 
<b>by </b><i>, </i>;<br/>
<b>thus </b><a NAME="E3:39"/>
( <font color="Maroon">R1</font> <a href="fvsum_1.html#K4" target="_self">+</a> <font color="Maroon">R2</font> <a href="hidden.html#R1">=</a> <font color="Maroon">i</font> <a href="finseqop.html#K4">|-&gt;</a> <span class="p1">(<span class="default"><a href="rlvect_1.html#K1">0.</a> <font color="Maroon">K</font></span>)</span> implies ( <font color="Maroon">R1</font> <a href="hidden.html#R1">=</a>  <a href="fvsum_1.html#K6" target="_self">-</a> <font color="Maroon">R2</font> &amp; <font color="Maroon">R2</font> <a href="hidden.html#R1">=</a>  <a href="fvsum_1.html#K6" target="_self">-</a> <font color="Maroon">R1</font> ) )
 <b>by </b><i>, , <a class="ref" href="finseqop.html#T78">FINSEQOP:78</a></i>;<br/>


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