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<b>let </b><font color="Maroon" title="c1">K</font> be   <a href="funcsdom.html#NM1" title="FUNCSDOM:NM.1">Ring</a>;<br/><b>let </b><font color="Maroon" title="c2">V</font> be   <a href="vectsp_2.html#NM6" title="VECTSP_2:NM.6">LeftMod</a> of <font color="Maroon" title="c1">K</font>;<br/><b>let </b><font color="Maroon" title="c3">A</font> be   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c2">V</font>;<br/>





<b>assume </b><a NAME="E1:12"/><i><font color="Green" title="E3">A1</font></i>: 
( not <font color="Maroon" title="c1">K</font> is <a href="struct_0.html#V7" title="STRUCT_0:attr.7">trivial</a> &amp; <font color="Maroon" title="c3">A</font> is <a href="lmod_5.html#V1" title="LMOD_5:attr.1">linearly-independent</a> )
 ;<br/>

<a NAME="E2:12"/><b>then </b>
 <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">K</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="group_1.html#K1" title="GROUP_1:func.1">1_</a> <font color="Maroon" title="c1">K</font>
 
<b>by </b><i><a class="ref" href="lmod_6.html#D2" title="LMOD_6:def.2">LMOD_6:def 2</a></i>;<br/>
<b>hence </b><a NAME="E3:12"/>
not  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c2">V</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c3">A</font>
 <b>by </b><i><a class="txt" href="lmod_7.html#E1:12"><i><font color="Green" title="E3">A1</font></i></a>, <a class="ref" href="lmod_5.html#T3" title="LMOD_5:th.3">LMOD_5:3</a></i>;<br/>


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