<?xml version="1.0"?>
<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E10">Th20</font></span>: <a NAME="T18"><span class="comment"><font color="firebrick">:: LOPBAN15:18</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being   <a href="rlvect_1.html#NM2" title="RLVECT_1:NM.2">RealLinearSpace</a><br/>  for <font color="Olive" title="b2">Y1</font>, <font color="Olive" title="b3">Y2</font> being    <a href="rlsub_1.html#M1" title="RLSUB_1:mode.1">Subspace</a> of <font color="Olive" title="b1">X</font>  st <font color="Olive" title="b2">Y1</font> <a href="rlsub_2.html#K2" title="RLSUB_2:func.2">/\</a> <font color="Olive" title="b3">Y2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="rlsub_1.html#K1" title="RLSUB_1:func.1">(0).</a> <font color="Olive" title="b1">X</font> holds <br/> for <font color="Olive" title="b4">B1</font> being    <a href="rlvect_3.html#M1" title="RLVECT_3:mode.1">Basis</a> of <font color="Olive" title="b2">Y1</font><br/>  for <font color="Olive" title="b5">B2</font> being    <a href="rlvect_3.html#M1" title="RLVECT_3:mode.1">Basis</a> of <font color="Olive" title="b3">Y2</font> holds  <font color="Olive" title="b4">B1</font> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <font color="Olive" title="b5">B2</font> is    <a href="rlvect_3.html#M1" title="RLVECT_3:mode.1">Basis</a> of <font color="Olive" title="b2">Y1</font> <a href="rlsub_2.html#K1" title="RLSUB_2:func.1">+</a> <font color="Olive" title="b3">Y2</font></div></div>
