<?xml version="1.0"?>
<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E46">Th45</font></span>: <a NAME="T48"><span class="comment"><font color="firebrick">:: CHAIN_1:48</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">d</font> being   non  <a href="ordinal1.html#V8" title="ORDINAL1:attr.8">zero</a>  <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive" title="b2">l</font>, <font color="Olive" title="b3">r</font> being    <a href="finseq_2.html#M2" title="FINSEQ_2:mode.2">Element</a> of  <a href="euclid.html#K1" title="EUCLID:func.1">REAL</a> <font color="Olive" title="b1">d</font><br/>  for <font color="Olive" title="b4">G</font> being    <a href="chain_1.html#M1" title="CHAIN_1:mode.1">Grating</a> of <font color="Olive" title="b1">d</font>  st  <a href="chain_1.html#K3" title="CHAIN_1:func.3">cell</a> (<font color="Olive" title="b2">l</font>,<font color="Olive" title="b3">r</font>) is   <a href="chain_1.html#NM3" title="CHAIN_1:NM.3">Cell</a> of <font color="Olive" title="b1">d</font>,<font color="Olive" title="b4">G</font> holds <br/>(  <a href="chain_1.html#K3" title="CHAIN_1:func.3">cell</a> (<font color="Olive" title="b2">l</font>,<font color="Olive" title="b3">r</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="chain_1.html#K8" title="CHAIN_1:func.8">infinite-cell</a> <font color="Olive" title="b4">G</font> iff  for <font color="Olive" title="b5">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="finseq_1.html#K2" title="FINSEQ_1:func.2">Seg</a> <font color="Olive" title="b1">d</font>  holds <font color="Olive" title="b3">r</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b5">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Olive" title="b2">l</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b5">i</font> )</div></div>
