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<b>let </b><font color="Maroon">L1</font> be  <a href="robbins1.html#V3" target="_self">strict</a>  <a href="robbins1.html#L3" target="_self">OrthoLattStr</a> , <font color="Maroon">L2</font> be  <a href="robbins1.html#V3" target="_self">strict</a>  <a href="robbins1.html#L3" target="_self">OrthoLattStr</a> ;<br/>

<b>assume </b><b>that </b><br/><a NAME="E1:62_1_2"/><i><font color="Green">E35</font></i>: 
( the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">L1</font> <a href="hidden.html#R1">=</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">L</font> &amp; the <a href="lattices.html#U2">L_join</a> of <font color="Maroon">L1</font> <a href="hidden.html#R1">=</a> the <a href="lattices.html#U2">L_join</a> of <font color="Maroon">L</font> &amp; the <a href="robbins1.html#U1" target="_self">Compl</a> of <font color="Maroon">L1</font> <a href="hidden.html#R1">=</a> the <a href="robbins1.html#U1" target="_self">Compl</a> of <font color="Maroon">L</font> &amp; ( for <font color="Olive">a</font>, <font color="Olive">b</font> being  <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">L</font> holds  the <a href="lattices.html#U1">L_meet</a> of <font color="Maroon">L1</font> <a href="binop_1.html#K1">.</a> <font color="Olive">a</font>,<font color="Olive">b</font> <a href="hidden.html#R1">=</a> <font color="Olive">a</font> <a href="robbins1.html#K4" target="_self">*'</a> <font color="Olive">b</font> ) )
 <b>and </b><br/><a NAME="E2:62_1_2"/><i><font color="Green">E36</font></i>: 
( the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">L2</font> <a href="hidden.html#R1">=</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">L</font> &amp; the <a href="lattices.html#U2">L_join</a> of <font color="Maroon">L2</font> <a href="hidden.html#R1">=</a> the <a href="lattices.html#U2">L_join</a> of <font color="Maroon">L</font> &amp; the <a href="robbins1.html#U1" target="_self">Compl</a> of <font color="Maroon">L2</font> <a href="hidden.html#R1">=</a> the <a href="robbins1.html#U1" target="_self">Compl</a> of <font color="Maroon">L</font> &amp; ( for <font color="Olive">a</font>, <font color="Olive">b</font> being  <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">L</font> holds  the <a href="lattices.html#U1">L_meet</a> of <font color="Maroon">L2</font> <a href="binop_1.html#K1">.</a> <font color="Olive">a</font>,<font color="Olive">b</font> <a href="hidden.html#R1">=</a> <font color="Olive">a</font> <a href="robbins1.html#K4" target="_self">*'</a> <font color="Olive">b</font> ) )
 ;<br/>

<b>reconsider </b><font color="Maroon">A</font> = the <a href="lattices.html#U1">L_meet</a> of <font color="Maroon">L1</font>, <font color="Maroon">B</font> = the <a href="lattices.html#U1">L_meet</a> of <font color="Maroon">L2</font> as   <a href="binop_1.html#NM2">BinOp</a> of the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">L</font> <b>by </b><i><a class="ref" href="robbins1.html#T7" target="_self">Th7</a>, <a class="ref" href="robbins1.html#T8" target="_self">Th8</a></i>;<br/>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="62_1_2_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">a</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">L</font>, <font color="Maroon">b</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">L</font>;<br/><b>thus </b><font color="Maroon">A</font> <a href="binop_1.html#K2">.</a> <font color="Maroon">a</font>,<font color="Maroon">b</font> = 
<font color="Maroon">a</font> <a href="robbins1.html#K4" target="_self">*'</a> <font color="Maroon">b</font>
<b>by </b><i><a class="ref" href="robbins1.html#T7" target="_self">Th7</a></i>
<br/>.= 
<font color="Maroon">B</font> <a href="binop_1.html#K2">.</a> <font color="Maroon">a</font>,<font color="Maroon">b</font>
<b>by </b><i><a class="ref" href="robbins1.html#T8" target="_self">Th8</a></i>
;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E5:62_1_2"/>
<font color="Maroon">L1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">L2</font>
 <b>by </b><i><a class="ref" href="robbins1.html#T7" target="_self">Th7</a>, <a class="ref" href="robbins1.html#T8" target="_self">Th8</a>, <a class="ref" href="binop_1.html#T2">BINOP_1:2</a></i>;<br/>


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