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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E19">Th21</font></span>: <a NAME="T21"><span class="comment"><font color="firebrick">:: RUSUB_7:21</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being   <a href="bhsp_1.html#NM1" title="BHSP_1:NM.1">RealUnitarySpace</a><br/>  for <font color="Olive" title="b2">M</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">X</font><br/>  for <font color="Olive" title="b3">seq</font> being   <a href="struct_0.html#NM9" title="STRUCT_0:NM.9">sequence</a> of <font color="Olive" title="b1">X</font>  st  <a href="relset_1.html#K2" title="RELSET_1:func.2">rng</a> <font color="Olive" title="b3">seq</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><a href="rusub_5.html#K3" title="RUSUB_5:func.3">Ort_Comp</a> <font color="Olive" title="b2">M</font></span>)</span> &amp; <font color="Olive" title="b3">seq</font> is  <a href="bhsp_2.html#V1" title="BHSP_2:attr.1">convergent</a>  holds <br/> <a href="bhsp_2.html#K1" title="BHSP_2:func.1">lim</a> <font color="Olive" title="b3">seq</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><a href="rusub_5.html#K3" title="RUSUB_5:func.3">Ort_Comp</a> <font color="Olive" title="b2">M</font></span>)</span></div></div>
