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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E7">Th8</font></span>: <a NAME="T10"><span class="comment"><font color="firebrick">:: EXTREAL1:10</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">F</font>, <font color="Olive" title="b2">G</font> being    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of  <a href="numbers.html#K6" title="NUMBERS:func.6">ExtREAL</a>   st  not  <a href="supinf_1.html#K2" title="SUPINF_1:func.2">-infty</a>  <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="relset_1.html#K2" title="RELSET_1:func.2">rng</a> <font color="Olive" title="b1">F</font> &amp;  not  <a href="supinf_1.html#K2" title="SUPINF_1:func.2">-infty</a>  <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="relset_1.html#K2" title="RELSET_1:func.2">rng</a> <font color="Olive" title="b2">G</font> holds <br/> <a href="extreal1.html#K4" title="EXTREAL1:func.4">Sum</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">F</font> <a href="finseq_1.html#K8" title="FINSEQ_1:func.8">^</a> <font color="Olive" title="b2">G</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="extreal1.html#K4" title="EXTREAL1:func.4">Sum</a> <font color="Olive" title="b1">F</font></span>)</span> <a href="supinf_2.html#K3" title="SUPINF_2:func.3">+</a> <span class="p1">(<span class="default"><a href="extreal1.html#K4" title="EXTREAL1:func.4">Sum</a> <font color="Olive" title="b2">G</font></span>)</span></div></div>
