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

<b>let </b><font color="Maroon" title="c4">W1</font>, <font color="Maroon" title="c5">W2</font> be  <a href="msualg_1.html#V4" title="MSUALG_1:attr.4">strict</a>  <a href="msualg_2.html#M1" title="MSUALG_2:mode.1">MSSubAlgebra</a> of <font color="Maroon" title="c2">U0</font>;<br/>

<b>assume </b><a NAME="E1:50_1_2"/>
( <font color="Maroon" title="c3">A</font> is   <a href="msualg_2.html#NM1" title="MSUALG_2:NM.1">MSSubset</a> of <font color="Maroon" title="c4">W1</font> &amp; ( for <font color="Olive" title="b1">U1</font> being   <a href="msualg_2.html#M1" title="MSUALG_2:mode.1">MSSubAlgebra</a> of <font color="Maroon" title="c2">U0</font>  st <font color="Maroon" title="c3">A</font> is   <a href="msualg_2.html#NM1" title="MSUALG_2:NM.1">MSSubset</a> of <font color="Olive" title="b1">U1</font> holds <br/><font color="Maroon" title="c4">W1</font> is    <a href="msualg_2.html#M1" title="MSUALG_2:mode.1">MSSubAlgebra</a> of <font color="Olive" title="b1">U1</font> ) &amp; <font color="Maroon" title="c3">A</font> is   <a href="msualg_2.html#NM1" title="MSUALG_2:NM.1">MSSubset</a> of <font color="Maroon" title="c5">W2</font> &amp; ( for <font color="Olive" title="b1">U2</font> being   <a href="msualg_2.html#M1" title="MSUALG_2:mode.1">MSSubAlgebra</a> of <font color="Maroon" title="c2">U0</font>  st <font color="Maroon" title="c3">A</font> is   <a href="msualg_2.html#NM1" title="MSUALG_2:NM.1">MSSubset</a> of <font color="Olive" title="b1">U2</font> holds <br/><font color="Maroon" title="c5">W2</font> is    <a href="msualg_2.html#M1" title="MSUALG_2:mode.1">MSSubAlgebra</a> of <font color="Olive" title="b1">U2</font> ) )
 ;<br/>

<a NAME="E2:50_1_2"/><b>then </b>
( <font color="Maroon" title="c4">W1</font> is  <a href="msualg_1.html#V4" title="MSUALG_1:attr.4">strict</a>  <a href="msualg_2.html#M1" title="MSUALG_2:mode.1">MSSubAlgebra</a> of <font color="Maroon" title="c5">W2</font> &amp; <font color="Maroon" title="c5">W2</font> is  <a href="msualg_1.html#V4" title="MSUALG_1:attr.4">strict</a>  <a href="msualg_2.html#M1" title="MSUALG_2:mode.1">MSSubAlgebra</a> of <font color="Maroon" title="c4">W1</font> )
 
;<br/>
<b>hence </b><a NAME="E3:50_1_2"/>
<font color="Maroon" title="c4">W1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c5">W2</font>
 <b>by </b><i><a class="ref" href="msualg_2.html#T8" target="_self" title="MSUALG_2:th.8">Th8</a></i>;<br/>


</div>
