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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E8">Def8</font></span>   defines <a href="prvect_2.html#K5" title="PRVECT_2:func.5">multop</a> <a onclick="hs(this)" href="javascript:()">PRVECT_2:def 8 : <br/></a><span> for <font color="Olive" title="b1">G</font> being   <a href="prvect_2.html#NM2" title="PRVECT_2:NM.2">RealLinearSpace-Sequence</a><br/>  for <font color="Olive">b<sub>2</sub></font> being    <a href="prvect_2.html#M1" title="PRVECT_2:mode.1">MultOps</a> of  <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a> , <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_2.html#K5" title="PRVECT_2:func.5">multop</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">j</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_2.html#K1" title="PRVECT_2:func.1">.</a> <font color="Olive" title="b3">j</font> <a href="funct_2.html#R1" title="FUNCT_2:pred.1">=</a>  the <a href="rlvect_1.html#U1" title="RLVECT_1:sel.1">Mult</a> of <span class="p1">(<span class="default"><font color="Olive" title="b1">G</font> <a href="prvect_2.html#K4" title="PRVECT_2:func.4">.</a> <font color="Olive" title="b3">j</font></span>)</span> ) ) );<br/></span></div>
