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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E10">LmFGND41</font></span>: <a NAME="T12"><span class="comment"><font color="firebrick">:: ZMODUL08:12</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">V</font> being   non  <a href="struct_0.html#V7" title="STRUCT_0:attr.7">trivial</a>   <a href="zmodul06.html#V2" title="ZMODUL06:attr.2">torsion</a>   <a href="zmodul03.html#V2" title="ZMODUL03:attr.2">finitely-generated</a>  <a href="zmodul01.html#NM1" title="ZMODUL01:NM.1">Z_Module</a><br/>  for <font color="Olive" title="b2">i</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <a href="int_3.html#K1" title="INT_3:func.1">INT.Ring</a>  st <font color="Olive" title="b2">i</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  &amp; (  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> holds  <font color="Olive" title="b2">i</font> <a href="vectsp_1.html#K3" title="VECTSP_1:func.3">*</a> <font color="Olive" title="b3">v</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Olive" title="b1">V</font> ) holds <br/> not <font color="Olive" title="b1">V</font> is  <a href="zmodul08.html#V2" title="ZMODUL08:attr.2">divisible</a> </div></div>
