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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E22">Th22</font></span>: <a NAME="T22"><span class="comment"><font color="firebrick">:: HILB10_8:22</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">a</font>, <font color="Olive" title="b2">b</font>, <font color="Olive" title="b3">A</font>, <font color="Olive" title="b4">B</font> being   <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a>  st <font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">b</font> <a href="int_2.html#R1" title="INT_2:pred.1">are_coprime</a>  holds <br/>( ( <font color="Olive" title="b1">a</font> <a href="int_1.html#R1" title="INT_1:pred.1">divides</a> <font color="Olive" title="b3">A</font> &amp; <font color="Olive" title="b2">b</font> <a href="int_1.html#R1" title="INT_1:pred.1">divides</a> <font color="Olive" title="b4">B</font> ) iff <font color="Olive" title="b1">a</font> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <font color="Olive" title="b2">b</font> <a href="int_1.html#R1" title="INT_1:pred.1">divides</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">a</font> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <font color="Olive" title="b4">B</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">b</font> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <font color="Olive" title="b3">A</font></span>)</span> )</div></div>
