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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E22">Th32</font></span>: <a NAME="T32"><span class="comment"><font color="firebrick">:: FIB_NUM3:32</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">a</font>, <font color="Olive" title="b2">b</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> holds <br/> (  <a href="fib_num3.html#K5" title="FIB_NUM3:func.5">GenFib</a> (<font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">b</font>,<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">a</font> &amp;  <a href="fib_num3.html#K5" title="FIB_NUM3:func.5">GenFib</a> (<font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">b</font>,1) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">b</font> &amp; (  for <font color="Olive" title="b3">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> holds   <a href="fib_num3.html#K5" title="FIB_NUM3:func.5">GenFib</a> (<font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">b</font>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b3">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="fib_num3.html#K5" title="FIB_NUM3:func.5">GenFib</a> (<font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">b</font>,<font color="Olive" title="b3">n</font>)</span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <span class="p1">(<span class="default"><a href="fib_num3.html#K5" title="FIB_NUM3:func.5">GenFib</a> (<font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">b</font>,<span class="p2">(<span class="default"><font color="Olive" title="b3">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span>)</span>)</span> ) )</div></div>
