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<div>:: <span class="kw">deftheorem </span>   defines <a href="ratfunc1.html#R2" title="RATFUNC1:pred.2">have_a_common_root</a> <a onclick="hs(this)" href="javascript:()">RATFUNC1:def 4 : <br/></a><span> for <font color="Olive" title="b1">L</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="group_1.html#V1" title="GROUP_1:attr.1">unital</a>   <a href="algstr_0.html#L6" title="ALGSTR_0:struct.6">doubleLoopStr</a> <br/>  for <font color="Olive" title="b2">p1</font>, <font color="Olive" title="b3">p2</font> being   <a href="polynom3.html#NM1" title="POLYNOM3:NM.1">Polynomial</a> of <font color="Olive" title="b1">L</font> holds <br/> ( <font color="Olive" title="b2">p1</font>,<font color="Olive" title="b3">p2</font> <a href="ratfunc1.html#R2" title="RATFUNC1:pred.2">have_a_common_root</a>  iff  ex <font color="Olive" title="b4">x</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">L</font> st <font color="Olive" title="b4">x</font> <a href="ratfunc1.html#R1" title="RATFUNC1:pred.1">is_a_common_root_of</a> <font color="Olive" title="b2">p1</font>,<font color="Olive" title="b3">p2</font> );<br/></span></div>
