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<b>let </b><font color="Maroon">T1</font> be   <a href="msualg_2.html#NM1">MSSubset</a> of <span class="p1">(<span class="default"><a href="msafree.html#K11">FreeMSA</a> <font color="Maroon">Y</font></span>)</span>, <font color="Maroon">T2</font> be   <a href="msualg_2.html#NM1">MSSubset</a> of <span class="p1">(<span class="default"><a href="msafree.html#K11">FreeMSA</a> <font color="Maroon">Y</font></span>)</span>;<br/>

<b>assume </b><b>that </b><br/><a NAME="E1:27_1_2"/><i><font color="Green">E48</font></i>: 
for <font color="Olive">s</font> being  <a href="msualg_1.html#NM1">SortSymbol</a> of <font color="Maroon">S</font> holds  <font color="Maroon">T1</font> <a href="funct_1.html#K1">.</a> <font color="Olive">s</font> <a href="hidden.html#R1">=</a> <span class="p1">{<span class="default"> <font color="Olive">t</font> where <font color="Olive">t</font> is   <a href="msaterm.html#NM1">Term</a> of <font color="Maroon">S</font>,<font color="Maroon">Y</font> : (  <a href="msaterm.html#K7">the_sort_of</a> <font color="Olive">t</font> <a href="hidden.html#R1">=</a> <font color="Olive">s</font> &amp;  <a href="msafree3.html#K4" target="_self">variables_in</a> <font color="Olive">t</font> <a href="pboole.html#R2">c=</a> <font color="Maroon">X</font> ) </span>}</span> 
 <b>and </b><br/><a NAME="E2:27_1_2"/><i><font color="Green">E49</font></i>: 
for <font color="Olive">s</font> being  <a href="msualg_1.html#NM1">SortSymbol</a> of <font color="Maroon">S</font> holds  <font color="Maroon">T2</font> <a href="funct_1.html#K1">.</a> <font color="Olive">s</font> <a href="hidden.html#R1">=</a> <span class="p1">{<span class="default"> <font color="Olive">t</font> where <font color="Olive">t</font> is   <a href="msaterm.html#NM1">Term</a> of <font color="Maroon">S</font>,<font color="Maroon">Y</font> : (  <a href="msaterm.html#K7">the_sort_of</a> <font color="Olive">t</font> <a href="hidden.html#R1">=</a> <font color="Olive">s</font> &amp;  <a href="msafree3.html#K4" target="_self">variables_in</a> <font color="Olive">t</font> <a href="pboole.html#R2">c=</a> <font color="Maroon">X</font> ) </span>}</span> 
 ;<br/>

<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="27_1_2_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">s</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>assume </b><a NAME="E1:27_1_2_1"/><i><font color="Green">E50</font></i>: 
<font color="Maroon">s</font> <a href="hidden.html#R2">in</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">S</font>
 ;<br/><b>hence </b><font color="Maroon">T1</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">s</font> = 
<span class="p1">{<span class="default"> <font color="Olive">t</font> where <font color="Olive">t</font> is   <a href="msaterm.html#NM1">Term</a> of <font color="Maroon">S</font>,<font color="Maroon">Y</font> : (  <a href="msaterm.html#K7">the_sort_of</a> <font color="Olive">t</font> <a href="hidden.html#R1">=</a> <font color="Maroon">s</font> &amp;  <a href="msafree3.html#K4" target="_self">variables_in</a> <font color="Olive">t</font> <a href="pboole.html#R2">c=</a> <font color="Maroon">X</font> ) </span>}</span> 
<b>by </b><i/>
<br/>.= 
<font color="Maroon">T2</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">s</font>
<b>by </b><i>, </i>
;<br/><br/></div><b>end;</b></div>
<b>hence </b><a NAME="E4:27_1_2"/>
<font color="Maroon">T1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">T2</font>
 <b>by </b><i><a class="ref" href="pboole.html#T3">PBOOLE:3</a></i>;<br/>


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