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<b>let </b><font color="Maroon" title="c3">nn</font>, <font color="Maroon" title="c4">nn'</font>, <font color="Maroon" title="c5">A</font>, <font color="Maroon" title="c6">B</font>, <font color="Maroon" title="c7">N</font> be   <a href="nat_1.html#NM1" title="NAT_1:NM.1">Nat</a>;<br/>

<b>assume </b><b>that </b><br/><a NAME="E1:26"/><i><font color="Green" title="E15">A1</font></i>: 
<font color="Maroon" title="c3">nn</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 2 <a href="nat_1.html#K4" title="NAT_1:func.4">*</a> <font color="Maroon" title="c4">nn'</font>
 <b>and </b><br/><a NAME="E2:26"/><i><font color="Green" title="E16">A2</font></i>: 
 <a href="pre_ff.html#K5" title="PRE_FF:func.5">Fusc</a> <font color="Maroon" title="c7">N</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c5">A</font> <a href="nat_1.html#K3" title="NAT_1:func.3">*</a> <span class="p2">(<span class="default"><a href="pre_ff.html#K5" title="PRE_FF:func.5">Fusc</a> <font color="Maroon" title="c3">nn</font></span>)</span></span>)</span> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <span class="p1">(<span class="default"><font color="Maroon" title="c6">B</font> <a href="nat_1.html#K3" title="NAT_1:func.3">*</a> <span class="p2">(<span class="default"><a href="pre_ff.html#K5" title="PRE_FF:func.5">Fusc</a> <span class="p3">(<span class="default"><font color="Maroon" title="c3">nn</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span></span>)</span>
 ;<br/>

<a NAME="E3:26"/>
 <a href="pre_ff.html#K5" title="PRE_FF:func.5">Fusc</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">nn</font> <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="pre_ff.html#K5" title="PRE_FF:func.5">Fusc</a> <font color="Maroon" title="c4">nn'</font></span>)</span> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <span class="p1">(<span class="default"><a href="pre_ff.html#K5" title="PRE_FF:func.5">Fusc</a> <span class="p2">(<span class="default"><font color="Maroon" title="c4">nn'</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span>
 
<b>by </b><i><a class="txt" href="pre_ff.html#E1:26"><i><font color="Green" title="E15">A1</font></i></a>, <a class="ref" href="pre_ff.html#T17" target="_self" title="PRE_FF:th.17">Th17</a></i>;<br/>
<b>hence </b> <a href="pre_ff.html#K5" title="PRE_FF:func.5">Fusc</a> <font color="Maroon" title="c7">N</font> = 
<span class="p1">(<span class="default"><font color="Maroon" title="c5">A</font> <a href="nat_1.html#K3" title="NAT_1:func.3">*</a> <span class="p2">(<span class="default"><a href="pre_ff.html#K5" title="PRE_FF:func.5">Fusc</a> <font color="Maroon" title="c4">nn'</font></span>)</span></span>)</span> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c6">B</font> <a href="nat_1.html#K3" title="NAT_1:func.3">*</a> <span class="p3">(<span class="default"><a href="pre_ff.html#K5" title="PRE_FF:func.5">Fusc</a> <font color="Maroon" title="c4">nn'</font></span>)</span></span>)</span> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <span class="p2">(<span class="default"><font color="Maroon" title="c6">B</font> <a href="nat_1.html#K3" title="NAT_1:func.3">*</a> <span class="p3">(<span class="default"><a href="pre_ff.html#K5" title="PRE_FF:func.5">Fusc</a> <span class="p4">(<span class="default"><font color="Maroon" title="c4">nn'</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="pre_ff.html#E1:26"><i><font color="Green" title="E15">A1</font></i></a>, <a class="txt" href="pre_ff.html#E2:26"><i><font color="Green" title="E16">A2</font></i></a>, <a class="ref" href="pre_ff.html#T17" target="_self" title="PRE_FF:th.17">Th17</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c5">A</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c6">B</font></span>)</span> <a href="nat_1.html#K3" title="NAT_1:func.3">*</a> <span class="p2">(<span class="default"><a href="pre_ff.html#K5" title="PRE_FF:func.5">Fusc</a> <font color="Maroon" title="c4">nn'</font></span>)</span></span>)</span> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <span class="p1">(<span class="default"><font color="Maroon" title="c6">B</font> <a href="nat_1.html#K3" title="NAT_1:func.3">*</a> <span class="p2">(<span class="default"><a href="pre_ff.html#K5" title="PRE_FF:func.5">Fusc</a> <span class="p3">(<span class="default"><font color="Maroon" title="c4">nn'</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span></span>)</span>

;<br/><br/>


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