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<b>let </b><font color="Maroon">R</font> be   <a href="vectsp_2.html#NM3">Skew-Field</a>;<br/><b>let </b><font color="Maroon">V</font> be   <a href="vectsp_2.html#NM6">LeftMod</a> of <font color="Maroon">R</font>;<br/>



<a NAME="E1:26"/>
 <a href="subset_1.html#K1">{}</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">V</font> is <a href="lmod_5.html#V1">linearly-independent</a>
 
<b>by </b><i><a class="ref" href="lmod_5.html#T4">LMOD_5:4</a></i>;<br/>
<a NAME="E2:26"/><b>then </b>
 ex <font color="Olive">B</font> being  <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">V</font> st <br/>(  <a href="subset_1.html#K1">{}</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">V</font> <a href="tarski.html#R1">c=</a> <font color="Olive">B</font> &amp; <font color="Olive">B</font> is <a href="mod_3.html#V1" target="_self">base</a> )
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E3:26"/>
 ex <font color="Olive">B</font> being  <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">V</font> st <font color="Olive">B</font> is <a href="mod_3.html#V1" target="_self">base</a>
 ;<br/>


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