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<div><span class="kw">theorem </span><a NAME="T26"><span class="comment"><font color="firebrick">:: LOPBAN15:26</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being   <a href="prvect_2.html#NM2" title="PRVECT_2:NM.2">RealLinearSpace-Sequence</a><br/>  for <font color="Olive" title="b2">d</font> being    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of  <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>   st  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Olive" title="b2">d</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Olive" title="b1">X</font> &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> <font color="Olive" title="b1">X</font> holds <br/> ( <font color="Olive" title="b1">X</font> <a href="prvect_2.html#K3" title="PRVECT_2:func.3">.</a> <font color="Olive" title="b3">i</font> is  <a href="rlvect_5.html#V1" title="RLVECT_5:attr.1">finite-dimensional</a>  &amp; <font color="Olive" title="b2">d</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="rlvect_5.html#K1" title="RLVECT_5:func.1">dim</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">X</font> <a href="prvect_2.html#K3" title="PRVECT_2:func.3">.</a> <font color="Olive" title="b3">i</font></span>)</span> ) ) holds <br/>(  <a href="prvect_2.html#K6" title="PRVECT_2:func.6">product</a> <font color="Olive" title="b1">X</font> is  <a href="rlvect_5.html#V1" title="RLVECT_5:attr.1">finite-dimensional</a>  &amp;  <a href="rlvect_5.html#K1" title="RLVECT_5:func.1">dim</a> <span class="p1">(<span class="default"><a href="prvect_2.html#K6" title="PRVECT_2:func.6">product</a> <font color="Olive" title="b1">X</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="rvsum_1.html#K16" title="RVSUM_1:func.16">Sum</a> <font color="Olive" title="b2">d</font> )</div></div>
