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<b>defpred </b><font color="Maroon">S<sub>1</sub></font>[  <a href="nat_1.html#NM1">Nat</a>,   <a href="hidden.html#M1">set</a> ,   <a href="hidden.html#M1">set</a> ] means <font color="Maroon">a<sub>3</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">F<sub>2</sub></font>(<font color="Maroon">a<sub>1</sub></font>,<font color="Maroon">a<sub>2</sub></font>);<br/>
<a NAME="E1:15_1"/><i><font color="Green">E4</font></i>: 
( <font color="Maroon">F<sub>3</sub></font>() <a href="funct_2.html#K3">.</a> 0 <a href="hidden.html#R1">=</a> <font color="Maroon">F<sub>1</sub></font>() &amp; ( for <font color="Olive">b<sub>1</sub></font> being  <a href="nat_1.html#NM1">Nat</a> holds <font color="Maroon">S<sub>1</sub></font>[<font color="Olive">b<sub>1</sub></font>,<font color="Maroon">F<sub>3</sub></font>() <a href="funct_2.html#K3">.</a> <font color="Olive">b<sub>1</sub></font>,<font color="Maroon">F<sub>3</sub></font>() <a href="funct_2.html#K3">.</a> <span class="p1">(<span class="default"><font color="Olive">b<sub>1</sub></font> <a href="nat_1.html#K1">+</a> 1</span>)</span>] ) )
 
<b>by </b><i><a class="txt" href="recdef_1.html#E1:15"><i><font color="Green">E2</font></i></a></i>;<br/>
<a NAME="E2:15_1"/><i><font color="Green">E5</font></i>: 
( <font color="Maroon">F<sub>4</sub></font>() <a href="funct_2.html#K3">.</a> 0 <a href="hidden.html#R1">=</a> <font color="Maroon">F<sub>1</sub></font>() &amp; ( for <font color="Olive">b<sub>1</sub></font> being  <a href="nat_1.html#NM1">Nat</a> holds <font color="Maroon">S<sub>1</sub></font>[<font color="Olive">b<sub>1</sub></font>,<font color="Maroon">F<sub>4</sub></font>() <a href="funct_2.html#K3">.</a> <font color="Olive">b<sub>1</sub></font>,<font color="Maroon">F<sub>4</sub></font>() <a href="funct_2.html#K3">.</a> <span class="p1">(<span class="default"><font color="Olive">b<sub>1</sub></font> <a href="nat_1.html#K1">+</a> 1</span>)</span>] ) )
 
<b>by </b><i><a class="txt" href="recdef_1.html#E2:15"><i><font color="Green">E3</font></i></a></i>;<br/>
<a NAME="E3:15_1"/><i><font color="Green">E6</font></i>: 
for <font color="Olive">b<sub>1</sub></font> being  <a href="nat_1.html#NM1">Nat</a><br/>for <font color="Olive">b<sub>2</sub></font>, <font color="Olive">b<sub>3</sub></font>, <font color="Olive">b<sub>4</sub></font> being   <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K1">REAL</a>  st <font color="Maroon">S<sub>1</sub></font>[<font color="Olive">b<sub>1</sub></font>,<font color="Olive">b<sub>2</sub></font>,<font color="Olive">b<sub>3</sub></font>] &amp; <font color="Maroon">S<sub>1</sub></font>[<font color="Olive">b<sub>1</sub></font>,<font color="Olive">b<sub>2</sub></font>,<font color="Olive">b<sub>4</sub></font>] holds <br/><font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1">=</a> <font color="Olive">b<sub>4</sub></font>
 
;<br/>
<b>thus </b><a NAME="E4:15_1"/>
<font color="Maroon">F<sub>3</sub></font>() <a href="funct_2.html#R2">=</a> <font color="Maroon">F<sub>4</sub></font>()
 <b>from </b><i><a class="ref" href="recdef_1.html#S10" target="_self">RECDEF_1:sch 10</a>(<a class="txt" href="recdef_1.html#E1:15_1"><i><font color="Green">E4</font></i></a>, <a class="txt" href="recdef_1.html#E2:15_1"><i><font color="Green">E5</font></i></a>, <a class="txt" href="recdef_1.html#E3:15_1"><i><font color="Green">E6</font></i></a>);</i><br/>


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