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

<b>set </b><font color="Maroon" title="c3">U1</font> =  <a href="msualg_1.html#G3" title="MSUALG_1:aggr.3">MSAlgebra</a>(# the <a href="msualg_1.html#U3" title="MSUALG_1:sel.3">Sorts</a> of <font color="Maroon" title="c2">U0</font>,the <a href="msualg_1.html#U4" title="MSUALG_1:sel.4">Charact</a> of <font color="Maroon" title="c2">U0</font> #);<br/>
<a NAME="E1:14_1_1"/>
the <a href="msualg_1.html#U3" title="MSUALG_1:sel.3">Sorts</a> of <font color="Maroon" title="c2">U0</font> is   <a href="osalg_1.html#NM4" title="OSALG_1:NM.4">OrderSortedSet</a> of <font color="Maroon" title="c1">S</font>
 
<b>by </b><i><a class="ref" href="osalg_1.html#T17" title="OSALG_1:th.17">OSALG_1:17</a></i>;<br/>
<b>then reconsider </b><font color="Maroon" title="c4">U1</font> =  <a href="msualg_1.html#G3" title="MSUALG_1:aggr.3">MSAlgebra</a>(# the <a href="msualg_1.html#U3" title="MSUALG_1:sel.3">Sorts</a> of <font color="Maroon" title="c2">U0</font>,the <a href="msualg_1.html#U4" title="MSUALG_1:sel.4">Charact</a> of <font color="Maroon" title="c2">U0</font> #) as  <a href="msualg_1.html#V3" title="MSUALG_1:attr.3">strict</a> <a href="osalg_2.html#NM3" title="OSALG_2:NM.3">OSSubAlgebra</a> of <font color="Maroon" title="c2">U0</font> <b>by </b><i><a class="ref" href="msualg_2.html#T38" title="MSUALG_2:th.38">MSUALG_2:38</a>, <a class="ref" href="osalg_1.html#T17" title="OSALG_1:th.17">OSALG_1:17</a></i>;<br/>
<b>take </b>
<font color="Maroon" title="c4">U1</font>
; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c4">U1</font> is <a href="msualg_1.html#V4" title="MSUALG_1:attr.4">non-empty</a> &amp; <font color="Maroon" title="c4">U1</font> is <a href="msualg_1.html#V3" title="MSUALG_1:attr.3">strict</a> )</span><br/>

<b>thus </b><a NAME="E3:14_1_1"/>
( <font color="Maroon" title="c4">U1</font> is <a href="msualg_1.html#V4" title="MSUALG_1:attr.4">non-empty</a> &amp; <font color="Maroon" title="c4">U1</font> is <a href="msualg_1.html#V3" title="MSUALG_1:attr.3">strict</a> )
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


</div>
