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<b>let </b><font color="Maroon">x</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">K</font> be   <a href="funcsdom.html#NM1">Ring</a>;<br/><b>let </b><font color="Maroon">M1</font> be   <a href="vectsp_2.html#NM6">LeftMod</a> of <font color="Maroon">K</font>;<br/><b>let </b><font color="Maroon">M2</font> be   <a href="vectsp_2.html#NM6">LeftMod</a> of <font color="Maroon">K</font>;<br/>







<b>assume </b><a NAME="E1:2"/><i><font color="Green">E43</font></i>: 
<font color="Maroon">M1</font> <a href="hidden.html#R1">=</a>  <a href="vectsp_1.html#G4">VectSpStr</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">M2</font>,the <a href="rlvect_1.html#U1">add</a> of <font color="Maroon">M2</font>,the <a href="struct_0.html#U2">Zero</a> of <font color="Maroon">M2</font>,the <a href="vectsp_1.html#U2">lmult</a> of <font color="Maroon">M2</font> #)
 ;<br/>

<a NAME="E2:2"/>
( <font color="Maroon">x</font> <a href="rlvect_1.html#R1">in</a> <font color="Maroon">M1</font> iff <font color="Maroon">x</font> <a href="hidden.html#R2">in</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">M1</font> )
 
<b>by </b><i><a class="ref" href="rlvect_1.html#D1">RLVECT_1:def 1</a></i>;<br/>
<b>hence </b><a NAME="E3:2"/>
( <font color="Maroon">x</font> <a href="rlvect_1.html#R1">in</a> <font color="Maroon">M1</font> iff <font color="Maroon">x</font> <a href="rlvect_1.html#R1">in</a> <font color="Maroon">M2</font> )
 <b>by </b><i>, <a class="ref" href="rlvect_1.html#D1">RLVECT_1:def 1</a></i>;<br/>


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