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<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>assume </b><a NAME="E1:28"/><i><font color="Green">E24</font></i>: 
<font color="Maroon">S</font> is <a href="orders_3.html#V1">discrete</a>
 ;<br/>

<b>then reconsider </b><font color="Maroon">S1</font> = <font color="Maroon">S</font> as  <a href="orders_3.html#V1">discrete</a> <a href="osalg_1.html#NM3">OrderSortedSign</a> ;<br/>
<b>assume </b><a NAME="E3:28"/><i><font color="Green">E40</font></i>: 
( <font color="Maroon">o1</font> <a href="osalg_1.html#R1" target="_self">~=</a> <font color="Maroon">o2</font> &amp;  <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> )
 ;<br/>

<b>reconsider </b><font color="Maroon">s1</font> =  <a href="osalg_1.html#K1" target="_self">the_result_sort_of</a> <font color="Maroon">o1</font>, <font color="Maroon">s2</font> =  <a href="osalg_1.html#K1" target="_self">the_result_sort_of</a> <font color="Maroon">o2</font> as   <a href="osalg_1.html#NM1">SortSymbol</a> of <font color="Maroon">S1</font> ;<br/>
<a NAME="E5:28"/><i><font color="Green">E50</font></i>: 
<font color="Maroon">s1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">s2</font>
 
<b>by </b><i>, <a class="ref" href="orders_3.html#T1">ORDERS_3:1</a></i>;<br/>
<a NAME="E6:28"/>
 <a href="msualg_1.html#K1">the_arity_of</a> <font color="Maroon">o1</font> <a href="hidden.html#R1">=</a>  <a href="msualg_1.html#K1">the_arity_of</a> <font color="Maroon">o2</font>
 
<b>by </b><i>, , </i>;<br/>
<b>hence </b><a NAME="E7:28"/>
<font color="Maroon">o1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">o2</font>
 <b>by </b><i>, , </i>;<br/>


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