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<b>let </b><font color="Maroon">c<sub>1</sub></font>, <font color="Maroon">c<sub>2</sub></font> be    <a href="subset_1.html#M1">Element</a> of  <a href="funct_2.html#K1">Funcs</a> <span class="p1">(<span class="default"><a href="numbers.html#K1">REAL</a>  <a href="finseq_2.html#K3">*</a> </span>)</span>,<span class="p1">(<span class="default"><a href="numbers.html#K1">REAL</a>  <a href="finseq_2.html#K3">*</a> </span>)</span>;<br/><b>let </b><font color="Maroon">c<sub>3</sub></font> be    <a href="finseq_2.html#M2">Element</a> of <a href="numbers.html#K1">REAL</a>  <a href="finseq_2.html#K3">*</a> ;<br/><b>let </b><font color="Maroon">c<sub>4</sub></font> be   <a href="nat_1.html#NM1">Nat</a>;<br/>





<b>set </b><font color="Maroon">c<sub>5</sub></font> = <span class="p1">(<span class="default"><a href="graphsp.html#K6" target="_self">repeat</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="graphsp.html#K4" target="_self">*</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">c<sub>4</sub></font>;<br/>
<b>set </b><font color="Maroon">c<sub>6</sub></font> = <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="graphsp.html#K6" target="_self">repeat</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="graphsp.html#K4" target="_self">*</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="graphsp.html#K5" target="_self">.</a> <font color="Maroon">c<sub>3</sub></font>;<br/>
<b>set </b><font color="Maroon">c<sub>7</sub></font> = <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="graphsp.html#K4" target="_self">*</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="graphsp.html#K4" target="_self">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="graphsp.html#K6" target="_self">repeat</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="graphsp.html#K4" target="_self">*</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>;<br/>
<a NAME="E1:35"/><i><font color="Green">E30</font></i>: 
 <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="graphsp.html#K4" target="_self">*</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="hidden.html#R1">=</a> <a href="numbers.html#K1">REAL</a>  <a href="finseq_2.html#K3">*</a> 
 
<b>by </b><i><a class="txt" href="graphsp.html#E29"><i><font color="Green">Lemma28</font></i></a></i>;<br/>
<a NAME="E2:35"/><i><font color="Green">E31</font></i>: 
 <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="graphsp.html#K4" target="_self">*</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="graphsp.html#K4" target="_self">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="graphsp.html#K6" target="_self">repeat</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="graphsp.html#K4" target="_self">*</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <a href="numbers.html#K1">REAL</a>  <a href="finseq_2.html#K3">*</a> 
 
<b>by </b><i><a class="txt" href="graphsp.html#E29"><i><font color="Green">Lemma28</font></i></a></i>;<br/>
<b>thus </b><span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="graphsp.html#K6" target="_self">repeat</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="graphsp.html#K4" target="_self">*</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="funct_2.html#K3">.</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="graphsp.html#K5" target="_self">.</a> <font color="Maroon">c<sub>3</sub></font> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="graphsp.html#K4" target="_self">*</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="graphsp.html#K4" target="_self">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="graphsp.html#K6" target="_self">repeat</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="graphsp.html#K4" target="_self">*</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span> <a href="graphsp.html#K5" target="_self">.</a> <font color="Maroon">c<sub>3</sub></font>
<b>by </b><i><a class="ref" href="graphsp.html#D2" target="_self">Def2</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="graphsp.html#K4" target="_self">*</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="graphsp.html#K5" target="_self">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="graphsp.html#K6" target="_self">repeat</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="graphsp.html#K4" target="_self">*</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="graphsp.html#K5" target="_self">.</a> <font color="Maroon">c<sub>3</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="graphsp.html#E2:35"><i><font color="Green">E31</font></i></a>, <a class="ref" href="funct_1.html#T22">FUNCT_1:22</a></i>
<br/>.= 
<font color="Maroon">c<sub>1</sub></font> <a href="graphsp.html#K5" target="_self">.</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="graphsp.html#K5" target="_self">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="graphsp.html#K6" target="_self">repeat</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="graphsp.html#K4" target="_self">*</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="graphsp.html#K5" target="_self">.</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="graphsp.html#E1:35"><i><font color="Green">E30</font></i></a>, <a class="ref" href="funct_1.html#T22">FUNCT_1:22</a></i>
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