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<div><span class="kw">theorem </span><a NAME="T61"><span class="comment"><font color="firebrick">:: ZMODUL02:61</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">R</font> being   <a href="vectsp_1.html#NM3" title="VECTSP_1:NM.3">Ring</a><br/>  for <font color="Olive" title="b2">V</font> being   <a href="vectsp_2.html#NM5" title="VECTSP_2:NM.5">LeftMod</a> of <font color="Olive" title="b1">R</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="b2">V</font>  st <font color="Olive" title="b1">R</font> is  <a href="group_1.html#V5" title="GROUP_1:attr.5">commutative</a>  &amp;  not <font color="Olive" title="b1">R</font> is  <a href="struct_0.html#V6" title="STRUCT_0:attr.6">degenerated</a>  holds <br/><span class="p1"><a href="domain_1.html#K7" title="DOMAIN_1:func.7">{</a><span class="default"><font color="Olive" title="b3">v</font>,<span class="p2">(<span class="default"><a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Olive" title="b2">V</font></span>)</span></span><a href="domain_1.html#K7" title="DOMAIN_1:func.7">}</a></span> is  <a href="vectsp_7.html#NV2" title="VECTSP_7:NV.2">linearly-dependent</a>  <span class="kw">by</span> <span class="lab"><a class="ref" href="zmodul02.html#T60" target="_self" onmouseover="rs('zmodul02/T60')" onmouseout="rh()">Th60</a></span>;<br/></div></div>
