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<div><span class="kw">theorem </span><a NAME="T10"><span class="comment"><font color="firebrick">:: EUCLID_2:10</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">x</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  <span class="p1"><a href="rvsum_1.html#K22" title="RVSUM_1:func.22">|(</a><span class="default"><span class="p2">(<span class="default"><a href="euclid.html#K5" title="EUCLID:func.5">0*</a> <span class="p3">(<span class="default"><a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Olive" title="b1">x</font></span>)</span></span>)</span>,<font color="Olive" title="b1">x</font></span><a href="rvsum_1.html#K22" title="RVSUM_1:func.22">)|</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  <span class="kw">by</span> <span class="lab"><a class="ref" href="euclid_2.html#T9" target="_self" onmouseover="rs('euclid_2/T9')" onmouseout="rh()">Th8</a></span>;<br/></div></div>
