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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E46">Th42</font></span>: <a NAME="T42"><span class="comment"><font color="firebrick">:: GCD_1:42</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">R</font> being   <a href="gcd_1.html#NM3" title="GCD_1:NM.3">gcdDomain</a><br/>  for <font color="Olive" title="b2">Amp</font>, <font color="Olive" title="b3">Amp9</font> being    <a href="gcd_1.html#M2" title="GCD_1:mode.2">AmpleSet</a> of <font color="Olive" title="b1">R</font><br/>  for <font color="Olive" title="b4">x</font>, <font color="Olive" title="b5">y</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">R</font>  st <font color="Olive" title="b4">x</font>,<font color="Olive" title="b5">y</font> <a href="gcd_1.html#R5" title="GCD_1:pred.5">are_canonical_wrt</a> <font color="Olive" title="b2">Amp</font> holds <br/><font color="Olive" title="b4">x</font>,<font color="Olive" title="b5">y</font> <a href="gcd_1.html#R5" title="GCD_1:pred.5">are_canonical_wrt</a> <font color="Olive" title="b3">Amp9</font></div></div>
