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<div><span class="kw">theorem </span><a NAME="T51"><span class="comment"><font color="firebrick">:: RVSUM_1:51</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">r</font> being   <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</a><br/>  for <font color="Olive" title="b2">F1</font>, <font color="Olive" title="b3">F2</font> being   <a href="valued_0.html#V3" title="VALUED_0:attr.3">real-valued</a>  <a href="finseq_1.html#NM1" title="FINSEQ_1:NM.1">FinSequence</a> holds  <font color="Olive" title="b1">r</font> <a href="rvsum_1.html#K10" title="RVSUM_1:func.10">*</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">F1</font> <a href="rvsum_1.html#K4" title="RVSUM_1:func.4">+</a> <font color="Olive" title="b3">F2</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">r</font> <a href="rvsum_1.html#K10" title="RVSUM_1:func.10">*</a> <font color="Olive" title="b2">F1</font></span>)</span> <a href="rvsum_1.html#K4" title="RVSUM_1:func.4">+</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">r</font> <a href="rvsum_1.html#K10" title="RVSUM_1:func.10">*</a> <font color="Olive" title="b3">F2</font></span>)</span> <span class="kw">by</span> <span class="lab"><a class="ref" href="rfunct_1.html#T16" onmouseover="rs('rfunct_1/T16')" onmouseout="rh()">RFUNCT_1:16</a></span>;<br/></div></div>
