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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E43">Def17</font></span>   defines <a href="rlvect_2.html#K14" title="RLVECT_2:func.14">LCAdd</a> <a onclick="hs(this)" href="javascript:()">RLVECT_2:def 17 : <br/></a><span> for <font color="Olive" title="b1">V</font> being   <a href="rlvect_1.html#NM2" title="RLVECT_1:NM.2">RealLinearSpace</a><br/>  for <font color="Olive">b<sub>2</sub></font> being   <a href="binop_1.html#NM2" title="BINOP_1:NM.2">BinOp</a> of <span class="p1">(<span class="default"><a href="rlvect_2.html#K11" title="RLVECT_2:func.11">LinComb</a> <font color="Olive" title="b1">V</font></span>)</span> holds <br/> ( <font color="Olive">b<sub>2</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="rlvect_2.html#K14" title="RLVECT_2:func.14">LCAdd</a> <font color="Olive" title="b1">V</font> iff  for <font color="Olive" title="b3">e1</font>, <font color="Olive" title="b4">e2</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="rlvect_2.html#K11" title="RLVECT_2:func.11">LinComb</a> <font color="Olive" title="b1">V</font> holds  <font color="Olive">b<sub>2</sub></font> <a href="binop_1.html#K4" title="BINOP_1:func.4">.</a> (<font color="Olive" title="b3">e1</font>,<font color="Olive" title="b4">e2</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="rlvect_2.html#K12" title="RLVECT_2:func.12">@</a> <font color="Olive" title="b3">e1</font></span>)</span> <a href="rlvect_2.html#K7" title="RLVECT_2:func.7">+</a> <span class="p1">(<span class="default"><a href="rlvect_2.html#K12" title="RLVECT_2:func.12">@</a> <font color="Olive" title="b4">e2</font></span>)</span> );<br/></span></div>
