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

<b>let </b><font color="Maroon">c<sub>1</sub></font> be  non <a href="xboole_0.html#V1">empty</a>  <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be   <a href="funct_2.html#NM1">Function</a> of <font color="Maroon">c<sub>1</sub></font>, <a href="numbers.html#K1">REAL</a> ;<br/>



<a NAME="E1:66"/>
 <a href="pscomp_1.html#K7" target="_self">-</a> <span class="p1">(<span class="default"><a href="pscomp_1.html#K7" target="_self">-</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="funct_2.html#R2">=</a> <font color="Maroon">c<sub>2</sub></font>
 
;<br/>
<b>hence </b><a NAME="E2:66"/>
( <font color="Maroon">c<sub>2</sub></font> is <a href="pscomp_1.html#V8" target="_self">with_min</a> iff  <a href="pscomp_1.html#K7" target="_self">-</a> <font color="Maroon">c<sub>2</sub></font> is <a href="pscomp_1.html#V7" target="_self">with_max</a> )
 <b>by </b><i><a class="txt" href="pscomp_1.html#E63"><i><font color="Green">Lemma42</font></i></a>, <a class="txt" href="pscomp_1.html#E64"><i><font color="Green">Lemma43</font></i></a></i>;<br/>


</div>
