<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span>   defines <a href="clvect_2.html#V3" title="CLVECT_2:attr.3">bounded</a> <a onclick="hs(this)" href="javascript:()">CLVECT_2:def 10 : <br/></a><span> for <font color="Olive" title="b1">X</font> being   <a href="csspace.html#NM1" title="CSSPACE:NM.1">ComplexUnitarySpace</a><br/>  for <font color="Olive" title="b2">seq</font> being   <a href="struct_0.html#NM9" title="STRUCT_0:NM.9">sequence</a> of <font color="Olive" title="b1">X</font> holds <br/> ( <font color="Olive" title="b2">seq</font> is  <a href="clvect_2.html#V3" title="CLVECT_2:attr.3">bounded</a>  iff  ex <font color="Olive" title="b3">M</font> being   <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</a> st <br/>( <font color="Olive" title="b3">M</font> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  &amp; (  for <font color="Olive" title="b4">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> holds  <span class="p1"><a href="csspace.html#K11" title="CSSPACE:func.11">||.</a><span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b2">seq</font> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> <font color="Olive" title="b4">n</font></span>)</span></span><a href="csspace.html#K11" title="CSSPACE:func.11">.||</a></span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b3">M</font> ) ) );<br/></span></div>
