<?xml version="1.0"?>
<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E19">Th21</font></span>: <a NAME="T21"><span class="comment"><font color="firebrick">:: RINFSUP1:21</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">seq1</font>, <font color="Olive" title="b2">seq2</font> being   <a href="seq_1.html#NM1" title="SEQ_1:NM.1">Real_Sequence</a>  st <font color="Olive" title="b1">seq1</font> is <a href="seq_2.html#V1" title="SEQ_2:attr.1">V95</a>() &amp; <font color="Olive" title="b1">seq1</font> is  <a href="partfun3.html#V4" title="PARTFUN3:attr.4">nonnegative</a>  &amp; <font color="Olive" title="b2">seq2</font> is <a href="seq_2.html#V1" title="SEQ_2:attr.1">V95</a>() &amp; <font color="Olive" title="b2">seq2</font> is  <a href="partfun3.html#V4" title="PARTFUN3:attr.4">nonnegative</a>  holds <br/>( <font color="Olive" title="b1">seq1</font> <a href="valued_1.html#K20" title="VALUED_1:func.20">(#)</a> <font color="Olive" title="b2">seq2</font> is <a href="seq_2.html#V1" title="SEQ_2:attr.1">V95</a>() &amp;  <a href="rinfsup1.html#K1" title="RINFSUP1:func.1">upper_bound</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">seq1</font> <a href="valued_1.html#K20" title="VALUED_1:func.20">(#)</a> <font color="Olive" title="b2">seq2</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="rinfsup1.html#K1" title="RINFSUP1:func.1">upper_bound</a> <font color="Olive" title="b1">seq1</font></span>)</span> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <span class="p1">(<span class="default"><a href="rinfsup1.html#K1" title="RINFSUP1:func.1">upper_bound</a> <font color="Olive" title="b2">seq2</font></span>)</span> )</div></div>
