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<div><span class="kw">theorem </span><a NAME="T56"><span class="comment"><font color="firebrick">:: RVSUM_4:56</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">f</font> being   <a href="comseq_1.html#NM1" title="COMSEQ_1:NM.1">Complex_Sequence</a><br/>  for <font color="Olive" title="b2">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> holds   <a href="rvsum_4.html#K14" title="RVSUM_4:func.14">XProduct</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">f</font> <a href="partfun1.html#K2" title="PARTFUN1:func.2">|</a> <span class="p2">(<span class="default"><font color="Olive" title="b2">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="rvsum_4.html#K2" title="RVSUM_4:func.2">Partial_Product</a> <font color="Olive" title="b1">f</font></span>)</span> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> <font color="Olive" title="b2">n</font></div></div>
