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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E46">lemgcdii</font></span>: <a NAME="T43"><span class="comment"><font color="firebrick">:: FIELD_14:43</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">R</font> being   <a href="int_3.html#NM1" title="INT_3:NM.1">EuclidianRing</a><br/>  for <font color="Olive" title="b2">a</font>, <font color="Olive" title="b3">b</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">R</font><br/>  for <font color="Olive" title="b4">g</font> being   <a href="ring_4.html#NM2" title="RING_4:NM.2">a_gcd</a> of <font color="Olive" title="b2">a</font>,<font color="Olive" title="b3">b</font>  ex <font color="Olive" title="b5">r</font>, <font color="Olive" title="b6">s</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">g</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">a</font> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <font color="Olive" title="b5">r</font></span>)</span> <a href="rlvect_1.html#K3" title="RLVECT_1:func.3">+</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">b</font> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <font color="Olive" title="b6">s</font></span>)</span></div></div>
