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<div><span class="kw">theorem </span><a NAME="T48"><span class="comment"><font color="firebrick">:: FIB_NUM3:48</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">a</font>, <font color="Olive" title="b2">b</font>, <font color="Olive" title="b3">k</font>, <font color="Olive" title="b4">n</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>  holds   <a href="fib_num3.html#K5" title="FIB_NUM3:func.5">GenFib</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">k</font>)</span>)</span>,<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">k</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span>)</span>)</span>,<font color="Olive" title="b4">n</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <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"><font color="Olive" title="b4">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <font color="Olive" title="b3">k</font></span>)</span>)</div></div>
