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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E30">Th28</font></span>: <a NAME="T28"><span class="comment"><font color="firebrick">:: RINGDER1:28</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">R</font> being   <a href="vectsp_2.html#NM2" title="VECTSP_2:NM.2">domRing</a><br/>  for <font color="Olive" title="b2">f</font>, <font color="Olive" title="b3">g</font> being    <a href="ring_4.html#M1" title="RING_4:mode.1">Element</a> of  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><a href="polynom3.html#K13" title="POLYNOM3:func.13">Polynom-Ring</a> <font color="Olive" title="b1">R</font></span>)</span><br/>  for <font color="Olive" title="b4">a</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="b2">f</font> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <font color="Olive" title="b4">a</font> <a href="ring_4.html#K2" title="RING_4:func.2">|</a> <font color="Olive" title="b1">R</font> holds <br/><span class="p1">(<span class="default"><a href="ringder1.html#K9" title="RINGDER1:func.9">Der1</a> <font color="Olive" title="b1">R</font></span>)</span> <a href="ringder1.html#K8" title="RINGDER1:func.8">.</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">f</font> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <font color="Olive" title="b3">g</font></span>)</span> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b4">a</font> <a href="ring_4.html#K2" title="RING_4:func.2">|</a> <font color="Olive" title="b1">R</font></span>)</span> <a href="polynom3.html#K12" title="POLYNOM3:func.12">*'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ringder1.html#K9" title="RINGDER1:func.9">Der1</a> <font color="Olive" title="b1">R</font></span>)</span> <a href="ringder1.html#K8" title="RINGDER1:func.8">.</a> <font color="Olive" title="b3">g</font></span>)</span></div></div>
