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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E34">Th30</font></span>: <a NAME="T30"><span class="comment"><font color="firebrick">:: GCD_1:30</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> 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="b3">a</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">R</font> holds <br/> (  <a href="gcd_1.html#K5" title="GCD_1:func.5">gcd</a> (<font color="Olive" title="b3">a</font>,<span class="p1">(<span class="default"><a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Olive" title="b1">R</font></span>)</span>,<font color="Olive" title="b2">Amp</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="gcd_1.html#K4" title="GCD_1:func.4">NF</a> (<font color="Olive" title="b3">a</font>,<font color="Olive" title="b2">Amp</font>) &amp;  <a href="gcd_1.html#K5" title="GCD_1:func.5">gcd</a> (<span class="p1">(<span class="default"><a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Olive" title="b1">R</font></span>)</span>,<font color="Olive" title="b3">a</font>,<font color="Olive" title="b2">Amp</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="gcd_1.html#K4" title="GCD_1:func.4">NF</a> (<font color="Olive" title="b3">a</font>,<font color="Olive" title="b2">Amp</font>) )</div></div>
