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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E16">Th9</font></span>: <a NAME="T9"><span class="comment"><font color="firebrick">:: AMI_4:9</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">i</font>, <font color="Olive" title="b2">j</font> being   <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a>  st <font color="Olive" title="b1">i</font> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  &amp; <font color="Olive" title="b2">j</font> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  holds <br/><a href="ami_4.html#K2" title="AMI_4:func.2">Euclid-Function</a> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default">(<span class="p2">(<span class="default"><a href="ami_3.html#K10" title="AMI_3:func.10">dl.</a> <a href="numbers.html#K5" title="NUMBERS:func.5">0</a></span>)</span>,<span class="p2">(<span class="default"><a href="ami_3.html#K10" title="AMI_3:func.10">dl.</a> 1</span>)</span>) <a href="ami_3.html#K12" title="AMI_3:func.12">--&gt;</a> (<font color="Olive" title="b1">i</font>,<font color="Olive" title="b2">j</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="ami_3.html#K10" title="AMI_3:func.10">dl.</a> <a href="numbers.html#K5" title="NUMBERS:func.5">0</a></span>)</span> <a href="ami_3.html#K11" title="AMI_3:func.11">.--&gt;</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">i</font> <a href="int_2.html#K3" title="INT_2:func.3">gcd</a> <font color="Olive" title="b2">j</font></span>)</span></div></div>
