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<b>let </b><font color="Maroon" title="c10">it1</font>, <font color="Maroon" title="c11">it2</font> be    <a href="finseq_2.html#M2" title="FINSEQ_2:mode.2">Element</a> of <font color="Maroon" title="c8">D</font> <a href="finseq_2.html#K3" title="FINSEQ_2:func.3">*</a> ;<br/>

<b>given </b><font color="Maroon" title="c12">g1</font> being   <a href="binop_1.html#NM2" title="BINOP_1:NM.2">BinOp</a> of <font color="Maroon" title="c8">D</font> <a href="finseq_2.html#K3" title="FINSEQ_2:func.3">*</a> <b> such that </b><a NAME="E2:53_1_2"/><i><font color="Green" title="E35">A2</font></i>: 
( ( for <font color="Olive" title="b1">p</font>, <font color="Olive" title="b2">q</font> being   <a href="finseq_2.html#M2" title="FINSEQ_2:mode.2">Element</a> of <font color="Maroon" title="c8">D</font> <a href="finseq_2.html#K3" title="FINSEQ_2:func.3">*</a>  holds  <font color="Maroon" title="c12">g1</font> <a href="binop_1.html#K4" title="BINOP_1:func.4">.</a> <font color="Olive" title="b1">p</font>,<font color="Olive" title="b2">q</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">p</font> <a href="lang1.html#K1" title="LANG1:func.1">^</a> <font color="Olive" title="b2">q</font> ) &amp; <font color="Maroon" title="c10">it1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c12">g1</font> <a href="finsop_1.html#K2" title="FINSOP_1:func.2">"**"</a> <font color="Maroon" title="c9">F</font> )
 ;<br/>

<b>given </b><font color="Maroon" title="c13">g2</font> being   <a href="binop_1.html#NM2" title="BINOP_1:NM.2">BinOp</a> of <font color="Maroon" title="c8">D</font> <a href="finseq_2.html#K3" title="FINSEQ_2:func.3">*</a> <b> such that </b><a NAME="E4:53_1_2"/><i><font color="Green" title="E36">A3</font></i>: 
( ( for <font color="Olive" title="b1">p</font>, <font color="Olive" title="b2">q</font> being   <a href="finseq_2.html#M2" title="FINSEQ_2:mode.2">Element</a> of <font color="Maroon" title="c8">D</font> <a href="finseq_2.html#K3" title="FINSEQ_2:func.3">*</a>  holds  <font color="Maroon" title="c13">g2</font> <a href="binop_1.html#K4" title="BINOP_1:func.4">.</a> <font color="Olive" title="b1">p</font>,<font color="Olive" title="b2">q</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">p</font> <a href="lang1.html#K1" title="LANG1:func.1">^</a> <font color="Olive" title="b2">q</font> ) &amp; <font color="Maroon" title="c11">it2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c13">g2</font> <a href="finsop_1.html#K2" title="FINSOP_1:func.2">"**"</a> <font color="Maroon" title="c9">F</font> )
 ;<br/>

<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="53_1_2_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon" title="c14">a</font>, <font color="Maroon" title="c15">b</font> be    <a href="finseq_2.html#M2" title="FINSEQ_2:mode.2">Element</a> of <font color="Maroon" title="c8">D</font> <a href="finseq_2.html#K3" title="FINSEQ_2:func.3">*</a> ;<br/><b>thus </b><font color="Maroon" title="c12">g1</font> <a href="binop_1.html#K4" title="BINOP_1:func.4">.</a> <font color="Maroon" title="c14">a</font>,<font color="Maroon" title="c15">b</font> = 
<font color="Maroon" title="c14">a</font> <a href="lang1.html#K1" title="LANG1:func.1">^</a> <font color="Maroon" title="c15">b</font>
<b>by </b><i><a class="txt" href="dtconstr.html#E2:53_1_2"><i><font color="Green" title="E35">A2</font></i></a></i>
<br/>.= 
<font color="Maroon" title="c13">g2</font> <a href="binop_1.html#K4" title="BINOP_1:func.4">.</a> <font color="Maroon" title="c14">a</font>,<font color="Maroon" title="c15">b</font>
<b>by </b><i><a class="txt" href="dtconstr.html#E4:53_1_2"><i><font color="Green" title="E36">A3</font></i></a></i>
;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E6:53_1_2"/>
<font color="Maroon" title="c10">it1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c11">it2</font>
 <b>by </b><i><a class="txt" href="dtconstr.html#E2:53_1_2"><i><font color="Green" title="E35">A2</font></i></a>, <a class="txt" href="dtconstr.html#E4:53_1_2"><i><font color="Green" title="E36">A3</font></i></a>, <a class="ref" href="binop_1.html#T2" title="BINOP_1:th.2">BINOP_1:2</a></i>;<br/>


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