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

<b>let </b><font color="Maroon" title="c1">S</font> be  non <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>  <a href="msualg_1.html#L1" title="MSUALG_1:struct.1">ManySortedSign</a> ;<br/>

<b>assume </b><a NAME="E1:21"/><i><font color="Green" title="E9">A1</font></i>: 
<font color="Maroon" title="c1">S</font> is <a href="struct_0.html#V7" title="STRUCT_0:attr.7">trivial</a>
 ;<br/>

<b>let </b><font color="Maroon" title="c2">A</font> be    <a href="msualg_1.html#L3" title="MSUALG_1:struct.3">MSAlgebra</a> of <font color="Maroon" title="c1">S</font>;<br/><b>let </b><font color="Maroon" title="c3">c1</font>, <font color="Maroon" title="c4">c2</font> be   <a href="pboole.html#NM3" title="PBOOLE:NM.3">Component</a> of the <a href="msualg_1.html#U4" title="MSUALG_1:sel.4">Sorts</a> of <font color="Maroon" title="c2">A</font>;<br/>



<b>consider </b><font color="Maroon" title="c5">i1</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> <b> such that </b><br/><a NAME="E3:21"/><i><font color="Green" title="E10">A2</font></i>: 
<font color="Maroon" title="c5">i1</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">S</font>
 <b>and </b><br/><a NAME="E4:21"/><i><font color="Green" title="E11">A3</font></i>: 
<font color="Maroon" title="c3">c1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> the <a href="msualg_1.html#U4" title="MSUALG_1:sel.4">Sorts</a> of <font color="Maroon" title="c2">A</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c5">i1</font>
 <b>by </b><i><a class="ref" href="pboole.html#T150" title="PBOOLE:th.150">PBOOLE:150</a></i>;<br/>
<b>consider </b><font color="Maroon" title="c6">i2</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> <b> such that </b><br/><a NAME="E6:21"/><i><font color="Green" title="E12">A4</font></i>: 
<font color="Maroon" title="c6">i2</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">S</font>
 <b>and </b><br/><a NAME="E7:21"/><i><font color="Green" title="E13">A5</font></i>: 
<font color="Maroon" title="c4">c2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> the <a href="msualg_1.html#U4" title="MSUALG_1:sel.4">Sorts</a> of <font color="Maroon" title="c2">A</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c6">i2</font>
 <b>by </b><i><a class="ref" href="pboole.html#T150" title="PBOOLE:th.150">PBOOLE:150</a></i>;<br/>
<b>thus </b><a NAME="E8:21"/>
<font color="Maroon" title="c3">c1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">c2</font>
 <b>by </b><i><a class="txt" href="msualg_1.html#E1:21"><i><font color="Green" title="E9">A1</font></i></a>, <a class="txt" href="msualg_1.html#E3:21"><i><font color="Green" title="E10">A2</font></i></a>, <a class="txt" href="msualg_1.html#E4:21"><i><font color="Green" title="E11">A3</font></i></a>, <a class="txt" href="msualg_1.html#E6:21"><i><font color="Green" title="E12">A4</font></i></a>, <a class="txt" href="msualg_1.html#E7:21"><i><font color="Green" title="E13">A5</font></i></a>, <a class="ref" href="struct_0.html#D10" title="STRUCT_0:def.10">STRUCT_0:def 10</a></i>;<br/>


</div>
