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<b>let </b><font color="Maroon">c<sub>1</sub></font> be    <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be   <a href="partfun1.html#NM1">PartFunc</a> of  <a href="numbers.html#K1">REAL</a> , <a href="numbers.html#K1">REAL</a> ;<br/>



<b>assume </b><a NAME="E1:76"/>
<font color="Maroon">c<sub>2</sub></font> <a href="rfunct_2.html#R1" target="_self">is_increasing_on</a> <font color="Maroon">c<sub>1</sub></font>
 ;<br/>

<a NAME="E2:76"/><b>then </b>
<span class="p1">(<span class="default"><a href="real_1.html#K1">-</a> 1</span>)</span> <a href="seq_1.html#K13">(#)</a> <font color="Maroon">c<sub>2</sub></font> <a href="rfunct_2.html#R2" target="_self">is_decreasing_on</a> <font color="Maroon">c<sub>1</sub></font>
 
<b>by </b><i><a class="ref" href="rfunct_2.html#T64" target="_self">Th64</a></i>;<br/>
<b>hence </b><a NAME="E3:76"/>
 <a href="seq_1.html#K16">-</a> <font color="Maroon">c<sub>2</sub></font> <a href="rfunct_2.html#R2" target="_self">is_decreasing_on</a> <font color="Maroon">c<sub>1</sub></font>
 <b>by </b><i><a class="ref" href="rfunct_1.html#T38">RFUNCT_1:38</a></i>;<br/>


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