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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E34">Def11</font></span>   defines <a href="prvect_1.html#K18" title="PRVECT_1:func.18">addop</a> <a onclick="hs(this)" href="javascript:()">PRVECT_1:def 12 : <br/></a><span> for <font color="Olive" title="b1">g</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="prvect_1.html#V1" title="PRVECT_1:attr.1">non-empty-addLoopStr-yielding</a>  <a href="finseq_1.html#NM1" title="FINSEQ_1:NM.1">FinSequence</a><br/>  for <font color="Olive">b<sub>2</sub></font> being    <a href="prvect_1.html#M1" title="PRVECT_1:mode.1">BinOps</a> of  <a href="prvect_1.html#K15" title="PRVECT_1:func.15">carr</a> <font color="Olive" title="b1">g</font> holds <br/> ( <font color="Olive">b<sub>2</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="prvect_1.html#K18" title="PRVECT_1:func.18">addop</a> <font color="Olive" title="b1">g</font> iff (  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Olive">b<sub>2</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <span class="p1">(<span class="default"><a href="prvect_1.html#K15" title="PRVECT_1:func.15">carr</a> <font color="Olive" title="b1">g</font></span>)</span> &amp; (  for <font color="Olive" title="b3">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <span class="p1">(<span class="default"><a href="prvect_1.html#K15" title="PRVECT_1:func.15">carr</a> <font color="Olive" title="b1">g</font></span>)</span> holds  <font color="Olive">b<sub>2</sub></font> <a href="prvect_1.html#K9" title="PRVECT_1:func.9">.</a> <font color="Olive" title="b3">i</font> <a href="funct_2.html#R1" title="FUNCT_2:pred.1">=</a>  the <a href="algstr_0.html#U1" title="ALGSTR_0:sel.1">addF</a> of <span class="p1">(<span class="default"><font color="Olive" title="b1">g</font> <a href="prvect_1.html#K16" title="PRVECT_1:func.16">.</a> <font color="Olive" title="b3">i</font></span>)</span> ) ) );<br/></span></div>
