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

<b>thus </b><a NAME="E1:8_1_1"/>
the <a href="msualg_1.html#U4" title="MSUALG_1:sel.4">Sorts</a> of <span class="p1"><a href="pralg_2.html#K8" title="PRALG_2:func.8">[:</a><span class="default"><font color="Maroon" title="c2">A</font>,<font color="Maroon" title="c3">B</font></span><a href="pralg_2.html#K8" title="PRALG_2:func.8">:]</a></span> is <a href="relat_1.html#V2" title="RELAT_1:attr.2">non-empty</a>
  <i><font color="Red">:: according to </font></i><a class="ref" href="msualg_1.html#D8" title="MSUALG_1:def.8">MSUALG_1:def 8</a><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="8_1_1_1"><b>proof </b></a><div class="add">

<a NAME="E1:8_1_1_1"/>
<span class="p1"><a href="pralg_2.html#K8" title="PRALG_2:func.8">[:</a><span class="default"><font color="Maroon" title="c2">A</font>,<font color="Maroon" title="c3">B</font></span><a href="pralg_2.html#K8" title="PRALG_2:func.8">:]</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="msualg_1.html#G3" title="MSUALG_1:aggr.3">MSAlgebra</a>(# <span class="p1"><a href="pboole.html#K9" title="PBOOLE:func.9">[|</a><span class="default">the <a href="msualg_1.html#U4" title="MSUALG_1:sel.4">Sorts</a> of <font color="Maroon" title="c2">A</font>,the <a href="msualg_1.html#U4" title="MSUALG_1:sel.4">Sorts</a> of <font color="Maroon" title="c3">B</font></span><a href="pboole.html#K9" title="PBOOLE:func.9">|]</a></span>,<span class="p1"><a href="pralg_2.html#K4" title="PRALG_2:func.4">[[:</a><span class="default">the <a href="msualg_1.html#U5" title="MSUALG_1:sel.5">Charact</a> of <font color="Maroon" title="c2">A</font>,the <a href="msualg_1.html#U5" title="MSUALG_1:sel.5">Charact</a> of <font color="Maroon" title="c3">B</font></span><a href="pralg_2.html#K4" title="PRALG_2:func.4">:]]</a></span> #)
 
<b>by </b><i><a class="ref" href="pralg_2.html#D15" title="PRALG_2:def.15">PRALG_2:def 15</a></i>;<br/>
<b>hence </b><a NAME="E2:8_1_1_1"/>
the <a href="msualg_1.html#U4" title="MSUALG_1:sel.4">Sorts</a> of <span class="p1"><a href="pralg_2.html#K8" title="PRALG_2:func.8">[:</a><span class="default"><font color="Maroon" title="c2">A</font>,<font color="Maroon" title="c3">B</font></span><a href="pralg_2.html#K8" title="PRALG_2:func.8">:]</a></span> is <a href="relat_1.html#V2" title="RELAT_1:attr.2">non-empty</a>
 ;<br/>


</div><b>end;</b></div>


</div>
