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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E58">gcd1</font></span>: <a NAME="T49"><span class="comment"><font color="firebrick">:: RING_4:49</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">L</font> being   <a href="gcd_1.html#NM3" title="GCD_1:NM.3">gcdDomain</a><br/>  for <font color="Olive" title="b2">x</font>, <font color="Olive" title="b3">y</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">L</font><br/>  for <font color="Olive" title="b4">u</font>, <font color="Olive" title="b5">v</font> being   <a href="ring_4.html#NM2" title="RING_4:NM.2">a_gcd</a> of <font color="Olive" title="b2">x</font>,<font color="Olive" title="b3">y</font> holds  <font color="Olive" title="b4">u</font> <a href="gcd_1.html#R4" title="GCD_1:pred.4">is_associated_to</a> <font color="Olive" title="b5">v</font></div></div>
