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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E4">ThTV6</font></span>: <a NAME="T9"><span class="comment"><font color="firebrick">:: ZMODUL06:9</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">V</font> being   <a href="zmodul01.html#NM1" title="ZMODUL01:NM.1">Z_Module</a><br/>  for <font color="Olive" title="b2">W</font> being    <a href="vectsp_4.html#M1" title="VECTSP_4:mode.1">Subspace</a> of <font color="Olive" title="b1">V</font><br/>  for <font color="Olive" title="b3">v</font> being   <a href="vectsp_1.html#NM8" title="VECTSP_1:NM.8">Vector</a> of <font color="Olive" title="b1">V</font><br/>  for <font color="Olive" title="b4">w</font> being   <a href="vectsp_1.html#NM8" title="VECTSP_1:NM.8">Vector</a> of <font color="Olive" title="b2">W</font>  st <font color="Olive" title="b3">v</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">w</font> holds <br/>( <font color="Olive" title="b3">v</font> is  <a href="zmodul06.html#V1" title="ZMODUL06:attr.1">torsion</a>  iff <font color="Olive" title="b4">w</font> is  <a href="zmodul06.html#V1" title="ZMODUL06:attr.1">torsion</a>  )</div></div>
