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<b>let </b><font color="Maroon">GF</font> be  non <a href="struct_0.html#V3">empty</a> <a href="rlvect_1.html#V3">Abelian</a> <a href="rlvect_1.html#V4">add-associative</a> <a href="rlvect_1.html#V5">right_zeroed</a> <a href="rlvect_1.html#V6">right_complementable</a> <a href="group_1.html#V4">associative</a> <a href="vectsp_1.html#V7">distributive</a> <a href="vectsp_1.html#V8">left_unital</a>  <a href="vectsp_1.html#L3">doubleLoopStr</a> ;<br/><b>let </b><font color="Maroon">M</font> be  non <a href="struct_0.html#V3">empty</a> <a href="rlvect_1.html#V3">Abelian</a> <a href="rlvect_1.html#V4">add-associative</a> <a href="rlvect_1.html#V5">right_zeroed</a> <a href="rlvect_1.html#V6">right_complementable</a> <a href="vectsp_1.html#V12">VectSp-like</a>  <a href="vectsp_1.html#L4">VectSpStr</a> of <font color="Maroon">GF</font>;<br/><b>let </b><font color="Maroon">W1</font> be    <a href="vectsp_4.html#M1">Subspace</a> of <font color="Maroon">M</font>;<br/><b>let </b><font color="Maroon">W2</font> be    <a href="vectsp_4.html#M1">Subspace</a> of <font color="Maroon">M</font>;<br/>







<a NAME="E1:20"/>
the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><font color="Maroon">W1</font> <a href="vectsp_5.html#K2" target="_self">/\</a> <font color="Maroon">W2</font></span>)</span> <a href="tarski.html#R1">c=</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">W1</font>
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E2:20"/>
<font color="Maroon">W1</font> <a href="vectsp_5.html#K2" target="_self">/\</a> <font color="Maroon">W2</font> is    <a href="vectsp_4.html#M1">Subspace</a> of <font color="Maroon">W1</font>
 <b>by </b><i><a class="ref" href="vectsp_4.html#T35">VECTSP_4:35</a></i>;<br/>

<a NAME="E3:20"/>
the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><font color="Maroon">W2</font> <a href="vectsp_5.html#K2" target="_self">/\</a> <font color="Maroon">W1</font></span>)</span> <a href="tarski.html#R1">c=</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">W2</font>
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E4:20"/>
<font color="Maroon">W1</font> <a href="vectsp_5.html#K2" target="_self">/\</a> <font color="Maroon">W2</font> is    <a href="vectsp_4.html#M1">Subspace</a> of <font color="Maroon">W2</font>
 <b>by </b><i><a class="ref" href="vectsp_4.html#T35">VECTSP_4:35</a></i>;<br/>


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