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<b>let </b><font color="Maroon">n</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<br/><b>let </b><font color="Maroon">m</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<br/>



<b>assume </b><a NAME="E1:30"/><i><font color="Green">E29</font></i>: 
 <a href="hilbert2.html#K1" target="_self">prop</a> <font color="Maroon">n</font> <a href="hidden.html#R1">=</a>  <a href="hilbert2.html#K1" target="_self">prop</a> <font color="Maroon">m</font>
 ;<br/>

<a NAME="E2:30"/>
3 <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">n</font> <a href="hidden.html#R1">=</a> 3 <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">m</font>
 
<b>by </b><i>, <a class="ref" href="group_7.html#T1">GROUP_7:1</a></i>;<br/>
<b>hence </b><a NAME="E3:30"/>
<font color="Maroon">n</font> <a href="hidden.html#R1">=</a> <font color="Maroon">m</font>
 ;<br/>


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