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<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="nat_1.html#NM1">Nat</a>;<br/>

<a NAME="E1:80"/><i><font color="Green">E60</font></i>: 
 <a href="relat_1.html#K1">dom</a> <a href="fib_num2.html#K2" target="_self">FIB</a>  <a href="hidden.html#R1">=</a>  <a href="numbers.html#K5">NAT</a> 
 
<b>by </b><i><a class="ref" href="funct_2.html#D1">FUNCT_2:def 1</a></i>;<br/>
<a href="fib_num2.html#K2" target="_self">FIB</a>  <a href="relat_1.html#K7">|</a> <span class="p1">(<span class="default"><a href="fib_num2.html#K4" target="_self">OddNAT</a>  <a href="xboole_0.html#K3">/\</a> <span class="p2">(<span class="default"><a href="finseq_1.html#K2">Seg</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default">2 <a href="nat_1.html#K2">*</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="nat_1.html#K1">+</a> 5</span>)</span></span>)</span></span>)</span> = 
<a href="fib_num2.html#K2" target="_self">FIB</a>  <a href="relat_1.html#K7">|</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="fib_num2.html#K4" target="_self">OddNAT</a>  <a href="xboole_0.html#K3">/\</a> <span class="p3">(<span class="default"><a href="finseq_1.html#K2">Seg</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default">2 <a href="nat_1.html#K2">*</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="nat_1.html#K1">+</a> 3</span>)</span></span>)</span></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p2"><a href="seq_4.html#K1">{</a><span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default">2 <a href="nat_1.html#K2">*</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="nat_1.html#K1">+</a> 5</span>)</span></span><a href="seq_4.html#K1">}</a></span></span>)</span>
<b>by </b><i><a class="ref" href="fib_num2.html#T64" target="_self">Th64</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="fib_num2.html#K2" target="_self">FIB</a>  <a href="relat_1.html#K7">|</a> <span class="p2">(<span class="default"><a href="fib_num2.html#K4" target="_self">OddNAT</a>  <a href="xboole_0.html#K3">/\</a> <span class="p3">(<span class="default"><a href="finseq_1.html#K2">Seg</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default">2 <a href="nat_1.html#K2">*</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="nat_1.html#K1">+</a> 3</span>)</span></span>)</span></span>)</span></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p1">(<span class="default"><a href="fib_num2.html#K2" target="_self">FIB</a>  <a href="relat_1.html#K7">|</a> <span class="p2"><a href="seq_4.html#K1">{</a><span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default">2 <a href="nat_1.html#K2">*</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="nat_1.html#K1">+</a> 5</span>)</span></span><a href="seq_4.html#K1">}</a></span></span>)</span>
<b>by </b><i><a class="ref" href="relat_1.html#T107">RELAT_1:107</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="fib_num2.html#K2" target="_self">FIB</a>  <a href="relat_1.html#K7">|</a> <span class="p2">(<span class="default"><a href="fib_num2.html#K4" target="_self">OddNAT</a>  <a href="xboole_0.html#K3">/\</a> <span class="p3">(<span class="default"><a href="finseq_1.html#K2">Seg</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default">2 <a href="nat_1.html#K2">*</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="nat_1.html#K1">+</a> 3</span>)</span></span>)</span></span>)</span></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p1"><a href="tarski.html#K1">{</a><span class="default"><span class="p2"><a href="domain_1.html#K1">[</a><span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default">2 <a href="nat_1.html#K2">*</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="nat_1.html#K1">+</a> 5</span>)</span>,<span class="p3">(<span class="default"><a href="fib_num2.html#K2" target="_self">FIB</a>  <a href="funct_2.html#K3">.</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default">2 <a href="nat_1.html#K2">*</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="nat_1.html#K1">+</a> 5</span>)</span></span>)</span></span><a href="domain_1.html#K1">]</a></span></span><a href="tarski.html#K1">}</a></span>
<b>by </b><i><a class="txt" href="fib_num2.html#E1:80"><i><font color="Green">E60</font></i></a>, <a class="ref" href="grfunc_1.html#T89">GRFUNC_1:89</a></i>
;<br/>
<b>hence </b><a NAME="E3:80"/>
<span class="p1">(<span class="default"><a href="fib_num2.html#K2" target="_self">FIB</a>  <a href="relat_1.html#K7">|</a> <span class="p2">(<span class="default"><a href="fib_num2.html#K4" target="_self">OddNAT</a>  <a href="xboole_0.html#K3">/\</a> <span class="p3">(<span class="default"><a href="finseq_1.html#K2">Seg</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default">2 <a href="nat_1.html#K2">*</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="nat_1.html#K1">+</a> 3</span>)</span></span>)</span></span>)</span></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p1"><a href="tarski.html#K1">{</a><span class="default"><span class="p2"><a href="domain_1.html#K1">[</a><span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default">2 <a href="nat_1.html#K2">*</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="nat_1.html#K1">+</a> 5</span>)</span>,<span class="p3">(<span class="default"><a href="fib_num2.html#K2" target="_self">FIB</a>  <a href="funct_2.html#K3">.</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default">2 <a href="nat_1.html#K2">*</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="nat_1.html#K1">+</a> 5</span>)</span></span>)</span></span><a href="domain_1.html#K1">]</a></span></span><a href="tarski.html#K1">}</a></span> <a href="hidden.html#R1">=</a> <a href="fib_num2.html#K2" target="_self">FIB</a>  <a href="relat_1.html#K7">|</a> <span class="p1">(<span class="default"><a href="fib_num2.html#K4" target="_self">OddNAT</a>  <a href="xboole_0.html#K3">/\</a> <span class="p2">(<span class="default"><a href="finseq_1.html#K2">Seg</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default">2 <a href="nat_1.html#K2">*</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="nat_1.html#K1">+</a> 5</span>)</span></span>)</span></span>)</span>
 ;<br/>


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