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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E5">ThnTV3</font></span>: <a NAME="T12"><span class="comment"><font color="firebrick">:: ZMODUL06:12</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">v</font> being   <a href="vectsp_1.html#NM8" title="VECTSP_1:NM.8">Vector</a> of <font color="Olive" title="b1">V</font> holds <br/> (  not <font color="Olive" title="b2">v</font> is  <a href="zmodul06.html#V1" title="ZMODUL06:attr.1">torsion</a>  iff <span class="p1"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><font color="Olive" title="b2">v</font></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span> is  <a href="vectsp_7.html#V1" title="VECTSP_7:attr.1">linearly-independent</a>  )</div></div>
