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<b>defpred </b><font color="Maroon">S<sub>1</sub></font>[   <a href="subset_1.html#M1">Element</a> of  <a href="midsp_1.html#K13" target="_self">setvect</a> <font color="Maroon">M</font>,   <a href="subset_1.html#M1">Element</a> of  <a href="midsp_1.html#K13" target="_self">setvect</a> <font color="Maroon">M</font>,   <a href="subset_1.html#M1">Element</a> of  <a href="midsp_1.html#K13" target="_self">setvect</a> <font color="Maroon">M</font>] <b>means </b><font color="Maroon">a<sub>3</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">a<sub>1</sub></font> <a href="midsp_1.html#K14" target="_self">+</a> <font color="Maroon">a<sub>2</sub></font>;<br/>
<a NAME="E1:66_1_1"/><i><font color="Green">E37</font></i>: 
for <font color="Olive">u1</font>, <font color="Olive">v1</font> being   <a href="subset_1.html#M1">Element</a> of  <a href="midsp_1.html#K13" target="_self">setvect</a> <font color="Maroon">M</font>  ex <font color="Olive">W</font> being   <a href="subset_1.html#M1">Element</a> of  <a href="midsp_1.html#K13" target="_self">setvect</a> <font color="Maroon">M</font> st <font color="Maroon">S<sub>1</sub></font>[<font color="Olive">u1</font>,<font color="Olive">v1</font>,<font color="Olive">W</font>]
 
;<br/>
<b>consider </b><font color="Maroon">o</font> being   <a href="binop_1.html#NM2">BinOp</a> of  <a href="midsp_1.html#K13" target="_self">setvect</a> <font color="Maroon">M</font><b> such that </b><br/><a NAME="E3:66_1_1"/><i><font color="Green">E38</font></i>: 
for <font color="Olive">u1</font>, <font color="Olive">v1</font> being   <a href="subset_1.html#M1">Element</a> of  <a href="midsp_1.html#K13" target="_self">setvect</a> <font color="Maroon">M</font> holds  <font color="Maroon">S<sub>1</sub></font>[<font color="Olive">u1</font>,<font color="Olive">v1</font>,<font color="Maroon">o</font> <a href="binop_1.html#K2">.</a> <font color="Olive">u1</font>,<font color="Olive">v1</font>]
 <b>from </b><i><a class="ref" href="binop_1.html#S3">BINOP_1:sch 3</a>(<a class="ref" href="midsp_1.html#T28" target="_self">Th28</a>);<br/></i>
<b>take </b>
<font color="Maroon">o</font>
;<br/>

<b>thus </b><a NAME="E4:66_1_1"/>
for <font color="Olive">u1</font>, <font color="Olive">v1</font> being   <a href="subset_1.html#M1">Element</a> of  <a href="midsp_1.html#K13" target="_self">setvect</a> <font color="Maroon">M</font> holds  <font color="Maroon">o</font> <a href="binop_1.html#K2">.</a> <font color="Olive">u1</font>,<font color="Olive">v1</font> <a href="hidden.html#R1">=</a> <font color="Olive">u1</font> <a href="midsp_1.html#K14" target="_self">+</a> <font color="Olive">v1</font>
 <b>by </b><i><a class="ref" href="midsp_1.html#T29" target="_self">Th29</a></i>;<br/>


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