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<span class="kw">let </span><font color="Maroon" title="c1">R</font> be   <a href="vectsp_2.html#NM3" title="VECTSP_2:NM.3">Skew-Field</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> for <font color="Olive" title="b1">V</font> being  <a href="vectsp_2.html#NM6" title="VECTSP_2:NM.6">LeftMod</a> of <font color="Maroon" title="c1">R</font> holds  <font color="Olive" title="b1">V</font> is  <a href="mod_3.html#V2" title="MOD_3:attr.2">free</a> </span><br/><span class="kw">let </span><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">R</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c2">V</font> is  <a href="mod_3.html#V2" title="MOD_3:attr.2">free</a> </span><br/>



<a NAME="E1:35"/>
 ex <font color="Olive" title="b1">B</font> being  <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c2">V</font> st <font color="Olive" title="b1">B</font> is  <a href="mod_3.html#V1" title="MOD_3:attr.1">base</a> 
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="mod_3.html#E33"><span class="lab"><font color="Green" title="E18">Lm3</font></span></a></span>;<br/>
<span class="kw">hence </span><a NAME="E2:35"/>
<font color="Maroon" title="c2">V</font> is  <a href="mod_3.html#V2" title="MOD_3:attr.2">free</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="mod_3.html#D3" target="_self" title="MOD_3:def.3">Def3</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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