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<div><span class="kw">theorem </span><a NAME="T78"><span class="comment"><font color="firebrick">:: RINFSUP1:78</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive" title="b2">seq1</font>, <font color="Olive" title="b3">seq2</font> being   <a href="seq_1.html#NM1" title="SEQ_1:NM.1">Real_Sequence</a>  st <font color="Olive" title="b2">seq1</font> is <a href="seq_2.html#V2" title="SEQ_2:attr.2">V96</a>() &amp; <font color="Olive" title="b2">seq1</font> is  <a href="partfun3.html#V4" title="PARTFUN3:attr.4">nonnegative</a>  &amp; <font color="Olive" title="b3">seq2</font> is <a href="seq_2.html#V2" title="SEQ_2:attr.2">V96</a>() &amp; <font color="Olive" title="b3">seq2</font> is  <a href="partfun3.html#V4" title="PARTFUN3:attr.4">nonnegative</a>  holds <br/><span class="p1">(<span class="default"><a href="rinfsup1.html#K3" title="RINFSUP1:func.3">inferior_realsequence</a> <span class="p2">(<span class="default"><font color="Olive" title="b2">seq1</font> <a href="valued_1.html#K20" title="VALUED_1:func.20">(#)</a> <font color="Olive" title="b3">seq2</font></span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">n</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="rinfsup1.html#K3" title="RINFSUP1:func.3">inferior_realsequence</a> <font color="Olive" title="b2">seq1</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">n</font></span>)</span> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="rinfsup1.html#K3" title="RINFSUP1:func.3">inferior_realsequence</a> <font color="Olive" title="b3">seq2</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">n</font></span>)</span></div></div>
