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<b>let </b><font color="Maroon" title="c1">o1</font>, <font color="Maroon" title="c2">o2</font> be   <a href="binop_1.html#NM2" title="BINOP_1:NM.2">BinOp</a> of <span class="p1"><a href="enumset1.html#K1" title="ENUMSET1:func.1">{</a><span class="default">0,1,2</span><a href="enumset1.html#K1" title="ENUMSET1:func.1">}</a></span>;<br/>

<b>assume </b><b>that </b><br/><a NAME="E1:45_2_2"/><i><font color="Green" title="E31">A3</font></i>: 
for <font color="Olive" title="b1">a</font>, <font color="Olive" title="b2">b</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <span class="p1"><a href="enumset1.html#K1" title="ENUMSET1:func.1">{</a><span class="default">0,1,2</span><a href="enumset1.html#K1" title="ENUMSET1:func.1">}</a></span> holds  <font color="Maroon" title="c1">o1</font> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">a</font> <a href="mod_2.html#K12" title="MOD_2:func.12">*</a> <font color="Olive" title="b2">b</font>
 <b>and </b><br/><a NAME="E2:45_2_2"/><i><font color="Green" title="E32">A4</font></i>: 
for <font color="Olive" title="b1">a</font>, <font color="Olive" title="b2">b</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <span class="p1"><a href="enumset1.html#K1" title="ENUMSET1:func.1">{</a><span class="default">0,1,2</span><a href="enumset1.html#K1" title="ENUMSET1:func.1">}</a></span> holds  <font color="Maroon" title="c2">o2</font> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">a</font> <a href="mod_2.html#K12" title="MOD_2:func.12">*</a> <font color="Olive" title="b2">b</font>
 ;<br/>

<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="45_2_2_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon" title="c3">a</font>, <font color="Maroon" title="c4">b</font> be    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <span class="p1"><a href="enumset1.html#K1" title="ENUMSET1:func.1">{</a><span class="default">0,1,2</span><a href="enumset1.html#K1" title="ENUMSET1:func.1">}</a></span>;<br/><b>thus </b><font color="Maroon" title="c1">o1</font> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <font color="Maroon" title="c3">a</font>,<font color="Maroon" title="c4">b</font> = 
<font color="Maroon" title="c3">a</font> <a href="mod_2.html#K12" title="MOD_2:func.12">*</a> <font color="Maroon" title="c4">b</font>
<b>by </b><i><a class="txt" href="mod_2.html#E1:45_2_2"><i><font color="Green" title="E31">A3</font></i></a></i>
<br/>.= 
<font color="Maroon" title="c2">o2</font> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <font color="Maroon" title="c3">a</font>,<font color="Maroon" title="c4">b</font>
<b>by </b><i><a class="txt" href="mod_2.html#E2:45_2_2"><i><font color="Green" title="E32">A4</font></i></a></i>
;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E4:45_2_2"/>
<font color="Maroon" title="c1">o1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">o2</font>
 <b>by </b><i><a class="ref" href="binop_1.html#T2" title="BINOP_1:th.2">BINOP_1:2</a></i>;<br/>


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