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<b>let </b><font color="Maroon">X</font> be  non <a href="xboole_0.html#V1">empty</a>  <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">Y</font> be  non <a href="struct_0.html#V3">empty</a>  <a href="rlvect_1.html#L1">LoopStr</a> ;<br/>



<b>deffunc </b><font color="Maroon">H<sub>1</sub></font>(   <a href="fraenkel.html#M2">Element</a> of  <a href="fraenkel.html#K1">Funcs</a> <font color="Maroon">X</font>,the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">Y</font>,   <a href="fraenkel.html#M2">Element</a> of  <a href="fraenkel.html#K1">Funcs</a> <font color="Maroon">X</font>,the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">Y</font>) <b>-&gt; </b>   <a href="fraenkel.html#M2">Element</a> of  <a href="fraenkel.html#K1">Funcs</a> <font color="Maroon">X</font>,the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">Y</font> = the <a href="rlvect_1.html#U1">add</a> of <font color="Maroon">Y</font> <a href="funcsdom.html#K4">.:</a> <font color="Maroon">a<sub>1</sub></font>,<font color="Maroon">a<sub>2</sub></font>;<br/>
<b>consider </b><font color="Maroon">ADD</font> being   <a href="binop_1.html#NM2">BinOp</a> of  <a href="fraenkel.html#K1">Funcs</a> <font color="Maroon">X</font>,the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">Y</font><b> such that </b><br/><a NAME="E2:2"/><i><font color="Green">E33</font></i>: 
for <font color="Olive">f</font>, <font color="Olive">g</font> being   <a href="fraenkel.html#M2">Element</a> of  <a href="fraenkel.html#K1">Funcs</a> <font color="Maroon">X</font>,the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">Y</font> holds  <font color="Maroon">ADD</font> <a href="funcsdom.html#K1">.</a> <font color="Olive">f</font>,<font color="Olive">g</font> <a href="funct_2.html#R2">=</a> <font color="Maroon">H<sub>1</sub></font>(<font color="Olive">f</font>,<font color="Olive">g</font>)
 <b>from </b><i><a class="ref" href="binop_1.html#S4">BINOP_1:sch 4</a>();<br/></i>
<b>take </b>
<font color="Maroon">ADD</font>
;<br/>

<b>thus </b><a NAME="E3:2"/>
for <font color="Olive">f</font>, <font color="Olive">g</font> being   <a href="fraenkel.html#M2">Element</a> of  <a href="fraenkel.html#K1">Funcs</a> <font color="Maroon">X</font>,the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">Y</font> holds  <font color="Maroon">ADD</font> <a href="funcsdom.html#K1">.</a> <font color="Olive">f</font>,<font color="Olive">g</font> <a href="funct_2.html#R2">=</a> the <a href="rlvect_1.html#U1">add</a> of <font color="Maroon">Y</font> <a href="funcsdom.html#K4">.:</a> <font color="Olive">f</font>,<font color="Olive">g</font>
 <b>by </b><i/>;<br/>


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