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<b>set </b><font color="Maroon">c<sub>1</sub></font> =  <a href="vectsp_1.html#K3">F_Real</a> ;<br/>
<div><b>hereby </b> <i><font color="Red">:: according to </font></i><a class="ref" href="vectsp_2.html#D5">VECTSP_2:def 5</a>
<div class="add"><b>let </b><font color="Maroon">c<sub>2</sub></font>, <font color="Maroon">c<sub>3</sub></font> be   <a href="struct_0.html#NM1">Element</a> of <a href="vectsp_1.html#K3">F_Real</a> ;<br/><b>assume </b><a NAME="E1:4_1_1_1"/><i><font color="Green">E1</font></i>: 
( <font color="Maroon">c<sub>2</sub></font> <a href="group_1.html#K10">*</a> <font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R1">=</a>  <a href="rlvect_1.html#K1">0.</a> <a href="vectsp_1.html#K3">F_Real</a>  &amp; <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="rlvect_1.html#K1">0.</a> <a href="vectsp_1.html#K3">F_Real</a>  )
 ;<br/><b>reconsider </b><font color="Maroon">c<sub>4</sub></font> = <font color="Maroon">c<sub>2</sub></font>, <font color="Maroon">c<sub>5</sub></font> = <font color="Maroon">c<sub>3</sub></font> as   <a href="real_1.html#NM1">Real</a> ;<br/><i><font color="Green">E2</font></i>: <font color="Maroon">c<sub>2</sub></font> <a href="group_1.html#K10">*</a> <font color="Maroon">c<sub>3</sub></font> = 
<a href="binop_2.html#K35">multreal</a>  <a href="binop_1.html#K2">.</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font>
<b>by </b><i><a class="ref" href="group_1.html#D1">GROUP_1:def 1</a></i>
<br/>.= 
<font color="Maroon">c<sub>4</sub></font> <a href="binop_2.html#K11">*</a> <font color="Maroon">c<sub>5</sub></font>
<b>by </b><i><a class="ref" href="binop_2.html#D11">BINOP_2:def 11</a></i>
;<br/><a NAME="E4:4_1_1_1"/>
 <a href="rlvect_1.html#K1">0.</a> <a href="vectsp_1.html#K3">F_Real</a>  <a href="hidden.html#R1">=</a> 0
 <b>by </b><i><a class="ref" href="rlvect_1.html#D2">RLVECT_1:def 2</a></i>;<br/><b>hence </b><a NAME="E5:4_1_1_1"/>
<font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R1">=</a>  <a href="rlvect_1.html#K1">0.</a> <a href="vectsp_1.html#K3">F_Real</a> 
 <b>by </b><i><a class="txt" href="gcd_1.html#E1:4_1_1_1"><i><font color="Green">E1</font></i></a>, <a class="txt" href="gcd_1.html#E3:4_1_1_1"><i><font color="Green">E2</font></i></a>, <a class="ref" href="xcmplx_1.html#T6">XCMPLX_1:6</a></i>;<br/></div>
<b>end;</b></div>


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