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<b>let </b><font color="Maroon">K</font> be   <a href="vectsp_1.html#NM2">Field</a>;<br/><b>let </b><font color="Maroon">V</font> be   <a href="vectsp_1.html#NM6">VectSp</a> of <font color="Maroon">K</font>;<br/><b>let </b><font color="Maroon">W</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">V</font>;<br/><b>let </b><font color="Maroon">b2</font> be    <a href="vectsp_7.html#M1">Basis</a> of <font color="Maroon">V</font>;<br/>







<a NAME="E1:15"/>
<font color="Maroon">W</font> <a href="rlvect_1.html#R1">in</a>  <a href="vectsp_1.html#G4">VectSpStr</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">V</font>,the <a href="rlvect_1.html#U1">add</a> of <font color="Maroon">V</font>,the <a href="struct_0.html#U2">Zero</a> of <font color="Maroon">V</font>,the <a href="vectsp_1.html#U2">lmult</a> of <font color="Maroon">V</font> #)
 
<b>by </b><i><a class="ref" href="rlvect_1.html#T3">RLVECT_1:3</a></i>;<br/>
<a NAME="E2:15"/><b>then </b>
<font color="Maroon">W</font> <a href="rlvect_1.html#R1">in</a>  <a href="vectsp_7.html#K1">Lin</a> <font color="Maroon">b2</font>
 
<b>by </b><i><a class="ref" href="vectsp_7.html#D3">VECTSP_7:def 3</a></i>;<br/>
<b>then consider </b><font color="Maroon">KL1</font> being    <a href="vectsp_6.html#M2">Linear_Combination</a> of <font color="Maroon">b2</font><b> such that </b><br/><a NAME="E4:15"/><i><font color="Green">E43</font></i>: 
<font color="Maroon">W</font> <a href="hidden.html#R1">=</a>  <a href="vectsp_6.html#K4">Sum</a> <font color="Maroon">KL1</font>
 <b>by </b><i><a class="ref" href="vectsp_7.html#T12">VECTSP_7:12</a></i>;<br/>
<b>take </b><font color="Maroon">KL</font> = <font color="Maroon">KL1</font>;<br/>

<b>thus </b><a NAME="E5:15"/>
<font color="Maroon">W</font> <a href="hidden.html#R1">=</a>  <a href="vectsp_6.html#K4">Sum</a> <font color="Maroon">KL</font>
 <b>by </b><i/>;<br/>

<b>thus </b><a NAME="E6:15"/>
 <a href="vectsp_6.html#K1">Carrier</a> <font color="Maroon">KL</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">b2</font>
 <b>by </b><i><a class="ref" href="vectsp_6.html#D7">VECTSP_6:def 7</a></i>;<br/>


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