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<b>let </b><font color="Maroon">c<sub>1</sub></font> be  <a href="osalg_1.html#V8" target="_self">monotone</a> <a href="osalg_1.html#V10" target="_self">regular</a> <a href="osalg_1.html#NM3">OrderSortedSign</a>;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be   <a href="osalg_1.html#NM2">OperSymbol</a> of <font color="Maroon">c<sub>1</sub></font>;<br/><b>let </b><font color="Maroon">c<sub>3</sub></font> be    <a href="finseq_2.html#M2">Element</a> of the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>1</sub></font> <a href="finseq_2.html#K3">*</a> ;<br/>





<b>assume </b><a NAME="E1:93"/><i><font color="Green">E50</font></i>: 
<font color="Maroon">c<sub>3</sub></font> <a href="osalg_1.html#R2" target="_self">&lt;=</a>  <a href="msualg_1.html#K1">the_arity_of</a> <font color="Maroon">c<sub>2</sub></font>
 ;<br/>

<b>set </b><font color="Maroon">c<sub>4</sub></font> =  <a href="osalg_1.html#K3" target="_self">LBound</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font>;<br/>
<a NAME="E2:93"/>
 <a href="osalg_1.html#K3" target="_self">LBound</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font> <a href="osalg_1.html#R5" target="_self">has_least_rank_for</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font>
 
<b>by </b><i><a class="txt" href="osalg_1.html#E1:93"><i><font color="Green">E50</font></i></a>, <a class="ref" href="osalg_1.html#T14" target="_self">Th14</a></i>;<br/>
<a NAME="E3:93"/><b>then </b>
(  <a href="osalg_1.html#K3" target="_self">LBound</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font> <a href="osalg_1.html#R3" target="_self">has_least_args_for</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font> &amp;  <a href="osalg_1.html#K3" target="_self">LBound</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font> <a href="osalg_1.html#R4" target="_self">has_least_sort_for</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font> )
 
<b>by </b><i><a class="ref" href="osalg_1.html#D12" target="_self">Def12</a></i>;<br/>
<a NAME="E4:93"/><b>then </b>
( <font color="Maroon">c<sub>2</sub></font> <a href="osalg_1.html#R1" target="_self">~=</a>  <a href="osalg_1.html#K3" target="_self">LBound</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font> &amp;  <a href="msualg_1.html#K1">the_arity_of</a> <span class="p1">(<span class="default"><a href="osalg_1.html#K3" target="_self">LBound</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="osalg_1.html#R2" target="_self">&lt;=</a>  <a href="msualg_1.html#K1">the_arity_of</a> <font color="Maroon">c<sub>2</sub></font> &amp;  <a href="osalg_1.html#K1" target="_self">the_result_sort_of</a> <span class="p1">(<span class="default"><a href="osalg_1.html#K3" target="_self">LBound</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="orders_2.html#R3">&lt;=</a>  <a href="osalg_1.html#K1" target="_self">the_result_sort_of</a> <font color="Maroon">c<sub>2</sub></font> )
 
<b>by </b><i><a class="txt" href="osalg_1.html#E1:93"><i><font color="Green">E50</font></i></a>, <a class="ref" href="osalg_1.html#D10" target="_self">Def10</a>, <a class="ref" href="osalg_1.html#D11" target="_self">Def11</a></i>;<br/>
<b>hence </b><a NAME="E5:93"/>
 <a href="osalg_1.html#K3" target="_self">LBound</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font> <a href="osalg_1.html#R6" target="_self">&lt;=</a> <font color="Maroon">c<sub>2</sub></font>
 <b>by </b><i><a class="ref" href="osalg_1.html#D22" target="_self">Def22</a></i>;<br/>


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