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<b>let </b><font color="Maroon">i</font> be   <a href="int_1.html#NM1">Integer</a>, <font color="Maroon">j</font> be   <a href="int_1.html#NM1">Integer</a>;<br/>

<b>assume </b><a NAME="E1:18"/>
( <font color="Maroon">i</font> <a href="xxreal_0.html#NR4" target="_self">&gt;</a> 0 &amp; <font color="Maroon">j</font> <a href="xxreal_0.html#NR4" target="_self">&gt;</a> 0 )
 ;<br/>

<a NAME="E2:18"/><b>then </b>
<span class="p1"><a href="tarski.html#K4">[</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_3.html#K15">dl.</a> 0</span>)</span>,<span class="p3">(<span class="default"><a href="ami_3.html#K15">dl.</a> 1</span>)</span> <a href="ami_3.html#K18">--&gt;</a> <font color="Maroon">i</font>,<font color="Maroon">j</font></span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_3.html#K15">dl.</a> 0</span>)</span> <a href="ami_3.html#K17">.--&gt;</a> <span class="p3">(<span class="default"><font color="Maroon">i</font> <a href="int_2.html#K3">gcd</a> <font color="Maroon">j</font></span>)</span></span>)</span></span><a href="tarski.html#K4">]</a></span> <a href="hidden.html#R2">in</a>  <a href="ami_4.html#K2" target="_self">Euclide-Function</a> 
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E3:18"/>
<a href="ami_4.html#K2" target="_self">Euclide-Function</a>  <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_3.html#K15">dl.</a> 0</span>)</span>,<span class="p2">(<span class="default"><a href="ami_3.html#K15">dl.</a> 1</span>)</span> <a href="ami_3.html#K18">--&gt;</a> <font color="Maroon">i</font>,<font color="Maroon">j</font></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="ami_3.html#K15">dl.</a> 0</span>)</span> <a href="ami_3.html#K17">.--&gt;</a> <span class="p1">(<span class="default"><font color="Maroon">i</font> <a href="int_2.html#K3">gcd</a> <font color="Maroon">j</font></span>)</span>
 <b>by </b><i><a class="ref" href="funct_1.html#T8">FUNCT_1:8</a></i>;<br/>


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