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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E8">Th6</font></span>: <a NAME="T6"><span class="comment"><font color="firebrick">:: PENCIL_4:6</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">F</font> being   <a href="vectsp_1.html#NM5" title="VECTSP_1:NM.5">Field</a><br/>  for <font color="Olive" title="b2">V</font> being   <a href="vectsp_1.html#NM9" title="VECTSP_1:NM.9">VectSp</a> of <font color="Olive" title="b1">F</font><br/>  for <font color="Olive" title="b3">W1</font>, <font color="Olive" title="b4">W2</font>, <font color="Olive" title="b5">W3</font>, <font color="Olive" title="b6">W4</font> being    <a href="vectsp_4.html#M1" title="VECTSP_4:mode.1">Subspace</a> of <font color="Olive" title="b2">V</font>  st <font color="Olive" title="b3">W1</font> is    <a href="vectsp_4.html#M1" title="VECTSP_4:mode.1">Subspace</a> of <font color="Olive" title="b4">W2</font> &amp; <font color="Olive" title="b5">W3</font> is    <a href="vectsp_4.html#M1" title="VECTSP_4:mode.1">Subspace</a> of <font color="Olive" title="b6">W4</font> &amp;  <a href="vectsp_4.html#K2" title="VECTSP_4:func.2">(Omega).</a> <font color="Olive" title="b3">W1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="vectsp_4.html#K2" title="VECTSP_4:func.2">(Omega).</a> <font color="Olive" title="b5">W3</font> &amp;  <a href="vectsp_4.html#K2" title="VECTSP_4:func.2">(Omega).</a> <font color="Olive" title="b4">W2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="vectsp_4.html#K2" title="VECTSP_4:func.2">(Omega).</a> <font color="Olive" title="b6">W4</font> holds <br/> <a href="pencil_4.html#K1" title="PENCIL_4:func.1">segment</a> (<font color="Olive" title="b3">W1</font>,<font color="Olive" title="b4">W2</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="pencil_4.html#K1" title="PENCIL_4:func.1">segment</a> (<font color="Olive" title="b5">W3</font>,<font color="Olive" title="b6">W4</font>)</div></div>
