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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E4">def34</font></span>   defines <a href="dblseq_1.html#K4" title="DBLSEQ_1:func.4">cod1_major_iterated_lim</a> <a onclick="hs(this)" href="javascript:()">DBLSEQ_1:def 7 : <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>  st  <a href="dblseq_1.html#K2" title="DBLSEQ_1:func.2">lim_in_cod1</a> <font color="Olive" title="b1">Rseq</font> is  <a href="comseq_2.html#V2" title="COMSEQ_2:attr.2">convergent</a>  holds <br/> for <font color="Olive">b<sub>2</sub></font> being   <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</a> holds <br/> ( <font color="Olive">b<sub>2</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="dblseq_1.html#K4" title="DBLSEQ_1:func.4">cod1_major_iterated_lim</a> <font color="Olive" title="b1">Rseq</font> iff  for <font color="Olive" title="b3">e</font> being   <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</a>  st  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Olive" title="b3">e</font> holds <br/> ex <font color="Olive" title="b4">M</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> st <br/> for <font color="Olive" title="b5">m</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  st <font color="Olive" title="b5">m</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> <font color="Olive" title="b4">M</font> holds <br/><span class="p1"><a href="complex1.html#K9" title="COMPLEX1:func.9">|.</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="dblseq_1.html#K2" title="DBLSEQ_1:func.2">lim_in_cod1</a> <font color="Olive" title="b1">Rseq</font></span>)</span> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> <font color="Olive" title="b5">m</font></span>)</span> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> <font color="Olive">b<sub>2</sub></font></span>)</span></span><a href="complex1.html#K9" title="COMPLEX1:func.9">.|</a></span> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Olive" title="b3">e</font> );<br/></span></div>
