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<div><span class="kw">theorem </span><a NAME="T19"><span class="comment"><font color="firebrick">:: RINFSUP1:19</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">seq</font> being   <a href="seq_1.html#NM1" title="SEQ_1:NM.1">Real_Sequence</a>  st <font color="Olive" title="b1">seq</font> is <a href="seq_2.html#V1" title="SEQ_2:attr.1">V95</a>() &amp; <font color="Olive" title="b1">seq</font> is  <a href="partfun3.html#V4" title="PARTFUN3:attr.4">nonnegative</a>  holds <br/> <a href="rinfsup1.html#K1" title="RINFSUP1:func.1">upper_bound</a> <font color="Olive" title="b1">seq</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> </div></div>
