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

<b>let </b><font color="Maroon">S</font> be   <a href="osalg_1.html#NM3">OrderSortedSign</a>;<br/><b>let </b><font color="Maroon">o1</font> be   <a href="osalg_1.html#NM2">OperSymbol</a> of <font color="Maroon">S</font>;<br/><b>let </b><font color="Maroon">o2</font> be   <a href="osalg_1.html#NM2">OperSymbol</a> of <font color="Maroon">S</font>;<br/><b>let </b><font color="Maroon">A</font> be   <a href="osalg_1.html#NM5">OSAlgebra</a> of <font color="Maroon">S</font>;<br/>







<b>assume </b><a NAME="E1:74"/>
<font color="Maroon">o1</font> <a href="osalg_1.html#R6" target="_self">&lt;=</a> <font color="Maroon">o2</font>
 ;<br/>

<a NAME="E2:74"/><b>then </b>
(  <a href="msualg_1.html#K1">the_arity_of</a> <font color="Maroon">o1</font> <a href="osalg_1.html#R2" target="_self">&lt;=</a>  <a href="msualg_1.html#K1">the_arity_of</a> <font color="Maroon">o2</font> &amp;  <a href="osalg_1.html#K1" target="_self">the_result_sort_of</a> <font color="Maroon">o1</font> <a href="orders_2.html#R3">&lt;=</a>  <a href="osalg_1.html#K1" target="_self">the_result_sort_of</a> <font color="Maroon">o2</font> )
 
<b>by </b><i><a class="ref" href="osalg_1.html#D3" target="_self">Def3</a></i>;<br/>
<b>hence </b><a NAME="E3:74"/>
(  <a href="msualg_1.html#K3">Args</a> <font color="Maroon">o1</font>,<font color="Maroon">A</font> <a href="tarski.html#R1">c=</a>  <a href="msualg_1.html#K3">Args</a> <font color="Maroon">o2</font>,<font color="Maroon">A</font> &amp;  <a href="msualg_1.html#K4">Result</a> <font color="Maroon">o1</font>,<font color="Maroon">A</font> <a href="tarski.html#R1">c=</a>  <a href="msualg_1.html#K4">Result</a> <font color="Maroon">o2</font>,<font color="Maroon">A</font> )
 <b>by </b><i>, <a class="ref" href="osalg_1.html#T2" target="_self">Th2</a></i>;<br/>


</div>
