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<div><span class="kw">theorem </span><a NAME="T1"><span class="comment"><font color="firebrick">:: DBLSEQ_2:1</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">Rseq</font> being   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <span class="p1"><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">[:</a><span class="default"><a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>,<a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a></span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span>,<a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a>  st <font color="Olive" title="b1">Rseq</font> is  <a href="dblseq_1.html#V6" title="DBLSEQ_1:attr.6">non-decreasing</a>  holds <br/>( (  for <font color="Olive" title="b2">m</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>  holds   <a href="mesfunc9.html#K5" title="MESFUNC9:func.5">ProjMap1</a> (<font color="Olive" title="b1">Rseq</font>,<font color="Olive" title="b2">m</font>) is <a href="valued_0.html#V7" title="VALUED_0:attr.7">V115</a>() ) &amp; (  for <font color="Olive" title="b2">n</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>  holds   <a href="mesfunc9.html#K6" title="MESFUNC9:func.6">ProjMap2</a> (<font color="Olive" title="b1">Rseq</font>,<font color="Olive" title="b2">n</font>) is <a href="valued_0.html#V7" title="VALUED_0:attr.7">V115</a>() ) )</div></div>
