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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E6">Th4</font></span>: <a NAME="T11"><span class="comment"><font color="firebrick">:: RSSPACE:11</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">V</font> being   <a href="rlvect_1.html#NM2" title="RLVECT_1:NM.2">RealLinearSpace</a><br/>  for <font color="Olive" title="b2">V1</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">V</font>  st <font color="Olive" title="b2">V1</font> is  <a href="rlsub_1.html#V1" title="RLSUB_1:attr.1">linearly-closed</a>  &amp;  not <font color="Olive" title="b2">V1</font> is  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  holds <br/> <a href="rlvect_1.html#G1" title="RLVECT_1:aggr.1">RLSStruct</a>(# <font color="Olive" title="b2">V1</font>,<span class="p1">(<span class="default"><a href="rsspace.html#K7" title="RSSPACE:func.7">Zero_</a> (<font color="Olive" title="b2">V1</font>,<font color="Olive" title="b1">V</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="rsspace.html#K5" title="RSSPACE:func.5">Add_</a> (<font color="Olive" title="b2">V1</font>,<font color="Olive" title="b1">V</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="rsspace.html#K6" title="RSSPACE:func.6">Mult_</a> (<font color="Olive" title="b2">V1</font>,<font color="Olive" title="b1">V</font>)</span>)</span> #) is    <a href="rlsub_1.html#M1" title="RLSUB_1:mode.1">Subspace</a> of <font color="Olive" title="b1">V</font></div></div>
