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<div>:: <span class="kw">deftheorem </span>   defines <a href="csspace.html#K15" title="CSSPACE:func.15">cl_scalar</a> <a onclick="hs(this)" href="javascript:()">CSSPACE:def 17 : <br/></a><span> for <font color="Olive">b<sub>1</sub></font> being   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <span class="p1"><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">[:</a><span class="default"><a href="csspace.html#K9" title="CSSPACE:func.9">the_set_of_l2ComplexSequences</a>,<a href="csspace.html#K9" title="CSSPACE:func.9">the_set_of_l2ComplexSequences</a></span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span>,<a href="numbers.html#K2" title="NUMBERS:func.2">COMPLEX</a> holds <br/> ( <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="csspace.html#K15" title="CSSPACE:func.15">cl_scalar</a>  iff  for <font color="Olive" title="b2">x</font>, <font color="Olive" title="b3">y</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">object</a>   st <font color="Olive" title="b2">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="csspace.html#K9" title="CSSPACE:func.9">the_set_of_l2ComplexSequences</a>  &amp; <font color="Olive" title="b3">y</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="csspace.html#K9" title="CSSPACE:func.9">the_set_of_l2ComplexSequences</a>  holds <br/><font color="Olive">b<sub>1</sub></font> <a href="binop_1.html#K1" title="BINOP_1:func.1">.</a> (<font color="Olive" title="b2">x</font>,<font color="Olive" title="b3">y</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="comseq_3.html#K11" title="COMSEQ_3:func.11">Sum</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="csspace.html#K2" title="CSSPACE:func.2">seq_id</a> <font color="Olive" title="b2">x</font></span>)</span> <a href="valued_1.html#K19" title="VALUED_1:func.19">(#)</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="csspace.html#K2" title="CSSPACE:func.2">seq_id</a> <font color="Olive" title="b3">y</font></span>)</span> <a href="comseq_2.html#K2" title="COMSEQ_2:func.2">*'</a></span>)</span></span>)</span> );<br/></span></div>
