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<div><span class="kw">theorem </span><a NAME="T18"><span class="comment"><font color="firebrick">:: INT_8:18</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">s</font>, <font color="Olive" title="b2">t</font>, <font color="Olive" title="b3">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  st <font color="Olive" title="b3">n</font> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> 1 &amp; <font color="Olive" title="b1">s</font>,<font color="Olive" title="b3">n</font> <a href="int_2.html#R1" title="INT_2:pred.1">are_coprime</a>  &amp; <font color="Olive" title="b2">t</font>,<font color="Olive" title="b3">n</font> <a href="int_2.html#R1" title="INT_2:pred.1">are_coprime</a>  &amp;  <a href="pepin.html#K3" title="PEPIN:func.3">order</a> (<span class="p1">(<span class="default"><font color="Olive" title="b1">s</font> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <font color="Olive" title="b2">t</font></span>)</span>,<font color="Olive" title="b3">n</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="pepin.html#K3" title="PEPIN:func.3">order</a> (<font color="Olive" title="b1">s</font>,<font color="Olive" title="b3">n</font>)</span>)</span> <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> <span class="p1">(<span class="default"><a href="pepin.html#K3" title="PEPIN:func.3">order</a> (<font color="Olive" title="b2">t</font>,<font color="Olive" title="b3">n</font>)</span>)</span> holds <br/> <a href="pepin.html#K3" title="PEPIN:func.3">order</a> (<font color="Olive" title="b1">s</font>,<font color="Olive" title="b3">n</font>), <a href="pepin.html#K3" title="PEPIN:func.3">order</a> (<font color="Olive" title="b2">t</font>,<font color="Olive" title="b3">n</font>) <a href="int_2.html#R1" title="INT_2:pred.1">are_coprime</a> </div></div>
