<?xml version="1.0"?>
<div class="add">

<b>let </b><font color="Maroon">S1</font> be    <a href="pboole.html#M1">ManySortedSet</a> of the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><font color="Maroon">X</font> <a href="circtrm1.html#K1" target="_self">-CircuitStr</a> </span>)</span>, <font color="Maroon">S2</font> be    <a href="pboole.html#M1">ManySortedSet</a> of the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><font color="Maroon">X</font> <a href="circtrm1.html#K1" target="_self">-CircuitStr</a> </span>)</span>;<br/>

<b>assume </b><b>that </b><br/><a NAME="E1:26_1_1"/><i><font color="Green">E36</font></i>: 
for <font color="Olive">v</font> being  <a href="msafree2.html#NM1">Vertex</a> of <span class="p1">(<span class="default"><font color="Maroon">X</font> <a href="circtrm1.html#K1" target="_self">-CircuitStr</a> </span>)</span> holds  <font color="Maroon">S1</font> <a href="funct_1.html#K1">.</a> <font color="Olive">v</font> <a href="hidden.html#R1">=</a>  <a href="circtrm1.html#K2" target="_self">the_sort_of</a> <font color="Olive">v</font>,<font color="Maroon">A</font>
 <b>and </b><br/><a NAME="E2:26_1_1"/><i><font color="Green">E39</font></i>: 
for <font color="Olive">v</font> being  <a href="msafree2.html#NM1">Vertex</a> of <span class="p1">(<span class="default"><font color="Maroon">X</font> <a href="circtrm1.html#K1" target="_self">-CircuitStr</a> </span>)</span> holds  <font color="Maroon">S2</font> <a href="funct_1.html#K1">.</a> <font color="Olive">v</font> <a href="hidden.html#R1">=</a>  <a href="circtrm1.html#K2" target="_self">the_sort_of</a> <font color="Olive">v</font>,<font color="Maroon">A</font>
 ;<br/>

<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="26_1_1_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">x</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>assume </b><a NAME="E1:26_1_1_1"/>
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a> the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><font color="Maroon">X</font> <a href="circtrm1.html#K1" target="_self">-CircuitStr</a> </span>)</span>
 ;<br/><b>then reconsider </b><font color="Maroon">v</font> = <font color="Maroon">x</font> as   <a href="msafree2.html#NM1">Vertex</a> of <span class="p1">(<span class="default"><font color="Maroon">X</font> <a href="circtrm1.html#K1" target="_self">-CircuitStr</a> </span>)</span> ;<br/><b>thus </b><font color="Maroon">S1</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">x</font> = 
 <a href="circtrm1.html#K2" target="_self">the_sort_of</a> <font color="Maroon">v</font>,<font color="Maroon">A</font>
<b>by </b><i/>
<br/>.= 
<font color="Maroon">S2</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">x</font>
<b>by </b><i/>
;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E4:26_1_1"/>
<font color="Maroon">S1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">S2</font>
 <b>by </b><i><a class="ref" href="pboole.html#T3">PBOOLE:3</a></i>;<br/>


</div>
