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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E13">Th15</font></span>: <a NAME="T15"><span class="comment"><font color="firebrick">:: RINGDER1:15</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">R</font> being   non  <a href="struct_0.html#V6" title="STRUCT_0:attr.6">degenerated</a>  <a href="vectsp_2.html#NM1" title="VECTSP_2:NM.1">comRing</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">R</font><br/>  for <font color="Olive" title="b4">D</font> being   <a href="ringder1.html#NM1" title="RINGDER1:NM.1">Derivation</a> of <font color="Olive" title="b1">R</font> holds   <a href="ringder1.html#K4" title="RINGDER1:func.4">LBZ</a> (<font color="Olive" title="b4">D</font>,<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<font color="Olive" title="b2">x</font>,<font color="Olive" title="b3">y</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">&lt;*</a><span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b2">x</font> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <font color="Olive" title="b3">y</font></span>)</span></span><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">*&gt;</a></span></div></div>
