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<div>:: <span class="kw">deftheorem </span>   defines <a href="dblseq_1.html#V6" title="DBLSEQ_1:attr.6">non-decreasing</a> <a onclick="hs(this)" href="javascript:()">DBLSEQ_1:def 11 : <br/></a><span> 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> holds <br/> ( <font color="Olive" title="b1">Rseq</font> is  <a href="dblseq_1.html#V6" title="DBLSEQ_1:attr.6">non-decreasing</a>  iff  for <font color="Olive" title="b2">n1</font>, <font color="Olive" title="b3">m1</font>, <font color="Olive" title="b4">n2</font>, <font color="Olive" title="b5">m2</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  st <font color="Olive" title="b2">n1</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> <font color="Olive" title="b4">n2</font> &amp; <font color="Olive" title="b3">m1</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> <font color="Olive" title="b5">m2</font> holds <br/><font color="Olive" title="b1">Rseq</font> <a href="binop_1.html#K1" title="BINOP_1:func.1">.</a> (<font color="Olive" title="b2">n1</font>,<font color="Olive" title="b3">m1</font>) <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> <font color="Olive" title="b1">Rseq</font> <a href="binop_1.html#K1" title="BINOP_1:func.1">.</a> (<font color="Olive" title="b4">n2</font>,<font color="Olive" title="b5">m2</font>) );<br/></span></div>
