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<a NAME="E1:9_1_1"/>
 <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default">the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">S</font> <a href="pboole.html#K9">--&gt;</a> <span class="p2"><a href="tarski.html#K1">{</a><span class="default">0</span><a href="tarski.html#K1">}</a></span></span>)</span> <a href="hidden.html#R1">=</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">S</font>
 
<b>by </b><i><a class="ref" href="funcop_1.html#T19">FUNCOP_1:19</a></i>;<br/>
<b>then reconsider </b><font color="Maroon">s</font> = the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">S</font> <a href="pboole.html#K9">--&gt;</a> <span class="p1"><a href="tarski.html#K1">{</a><span class="default">0</span><a href="tarski.html#K1">}</a></span> as    <a href="pboole.html#M1">ManySortedSet</a> of the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">S</font> <b>by </b><i><a class="ref" href="pboole.html#D3">PBOOLE:def 3</a></i>;<br/>
<b>consider </b><font color="Maroon">o</font> being    <a href="pboole.html#M3">ManySortedFunction</a> of <span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="pboole.html#K6">#</a> </span>)</span> <a href="pboole.html#K7">*</a> the <a href="msualg_1.html#U2" target="_self">Arity</a> of <font color="Maroon">S</font>,<font color="Maroon">s</font> <a href="pboole.html#K7">*</a> the <a href="msualg_1.html#U3" target="_self">ResultSort</a> of <font color="Maroon">S</font>;<br/>
<b>take </b>
 <a href="msualg_1.html#G3" target="_self">MSAlgebra</a>(# <font color="Maroon">s</font>,<font color="Maroon">o</font> #)
;<br/>

<b>thus </b><a NAME="E4:9_1_1"/>
 <a href="msualg_1.html#G3" target="_self">MSAlgebra</a>(# <font color="Maroon">s</font>,<font color="Maroon">o</font> #) is <a href="msualg_1.html#V4" target="_self">strict</a>
 ;<br/>

<b>let </b><font color="Maroon">i</font> be    <a href="hidden.html#M1">set</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="pboole.html#D16">PBOOLE:def 16</a>,<a class="ref" href="msualg_1.html#D8" target="_self">MSUALG_1:def 8</a><br/>

<b>assume </b><a NAME="E5:9_1_1"/>
<font color="Maroon">i</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><a NAME="E6:9_1_1"/>
not the <a href="msualg_1.html#U4" target="_self">Sorts</a> of <a href="msualg_1.html#G3" target="_self">MSAlgebra</a>(# <font color="Maroon">s</font>,<font color="Maroon">o</font> #) <a href="funct_1.html#K1">.</a> <font color="Maroon">i</font> is <a href="xboole_0.html#V1">empty</a>
 <b>by </b><i><a class="ref" href="funcop_1.html#T13">FUNCOP_1:13</a></i>;<br/>


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