<?xml version="1.0"?>
<div class="add">

<span class="kw">let </span><font color="Maroon" title="c1">X</font>, <font color="Maroon" title="c2">Y</font> be   <a href="lopban_1.html#NM2" title="LOPBAN_1:NM.2">RealBanachSpace</a>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">T</font> being   <a href="lopban_1.html#NM1" title="LOPBAN_1:NM.1">LinearOperator</a> of <font color="Maroon" title="c1">X</font>,<font color="Maroon" title="c2">Y</font>  st <font color="Olive" title="b1">T</font> is  <a href="lopban_7.html#V1" title="LOPBAN_7:attr.1">closed</a>  holds <br/> <a href="lopban_7.html#K5" title="LOPBAN_7:func.5">graphNSP</a> <font color="Olive" title="b1">T</font> is  <a href="lopban_1.html#V3" title="LOPBAN_1:attr.3">complete</a> </span><br/><span class="kw">let </span><font color="Maroon" title="c3">T</font> be   <a href="lopban_1.html#NM1" title="LOPBAN_1:NM.1">LinearOperator</a> of <font color="Maroon" title="c1">X</font>,<font color="Maroon" title="c2">Y</font>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c3">T</font> is  <a href="lopban_7.html#V1" title="LOPBAN_7:attr.1">closed</a>  implies  <a href="lopban_7.html#K5" title="LOPBAN_7:func.5">graphNSP</a> <font color="Maroon" title="c3">T</font> is  <a href="lopban_1.html#V3" title="LOPBAN_1:attr.3">complete</a>  )</span><br/>



<a NAME="E1:22"/>
 <a href="lopban_7.html#K5" title="LOPBAN_7:func.5">graphNSP</a> <font color="Maroon" title="c3">T</font> is    <a href="rlsub_1.html#M1" title="RLSUB_1:mode.1">Subspace</a> of <span class="p1"><a href="prvect_3.html#K9" title="PRVECT_3:func.9">[:</a><span class="default"><font color="Maroon" title="c1">X</font>,<font color="Maroon" title="c2">Y</font></span><a href="prvect_3.html#K9" title="PRVECT_3:func.9">:]</a></span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="lopban_7.html#T9" target="_self" onmouseover="rs('lopban_7/T9')" onmouseout="rh()">Th9</a></span>;<br/>
<span class="kw">hence </span><a NAME="E2:22"/>
( <font color="Maroon" title="c3">T</font> is  <a href="lopban_7.html#V1" title="LOPBAN_7:attr.1">closed</a>  implies  <a href="lopban_7.html#K5" title="LOPBAN_7:func.5">graphNSP</a> <font color="Maroon" title="c3">T</font> is  <a href="lopban_1.html#V3" title="LOPBAN_1:attr.3">complete</a>  )
 <span class="kw">by</span> <span class="lab"><a class="ref" href="lopban_7.html#T10" target="_self" onmouseover="rs('lopban_7/T10')" onmouseout="rh()">Th10</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


</div>
