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 <a href="fib_num3.html#K1" title="FIB_NUM3:func.1">Lucas</a> 4 = 
 <a href="fib_num3.html#K1" title="FIB_NUM3:func.1">Lucas</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default">1 <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> 1</span>)</span> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> 1</span>)</span> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> 1</span>)</span>

<br/>.= 
4 <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> 3
<b>by </b><i><a class="ref" href="fib_num3.html#T11" target="_self" title="FIB_NUM3:th.11">Th11</a>, <a class="ref" href="fib_num3.html#T14" target="_self" title="FIB_NUM3:th.14">Th14</a>, <a class="ref" href="fib_num3.html#T15" target="_self" title="FIB_NUM3:th.15">Th15</a></i>
<br/>.= 
7

;<br/>
<b>hence </b><a NAME="E2:19"/>
 <a href="fib_num3.html#K1" title="FIB_NUM3:func.1">Lucas</a> 4 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 7
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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