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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E44">Th31</font></span>: <a NAME="T31"><span class="comment"><font color="firebrick">:: E_TRANS1:31</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">p</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#K12" title="POLYNOM3:func.12">Polynom-Ring</a> <a href="vectsp_1.html#K2" title="VECTSP_1:func.2">F_Real</a></span>)</span> holds  <span class="p1">(<span class="default"><a href="polydiff.html#K5" title="POLYDIFF:func.5">Eval</a> <span class="p2">(<span class="default"><a href="basel_2.html#K2" title="BASEL_2:func.2">~</a> <font color="Olive" title="b1">p</font></span>)</span></span>)</span> <a href="polydiff.html#K1" title="POLYDIFF:func.1">`|</a>  <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a>  <a href="polydiff.html#K5" title="POLYDIFF:func.5">Eval</a> <span class="p1">(<span class="default"><a href="basel_2.html#K2" title="BASEL_2:func.2">~</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ringder1.html#K9" title="RINGDER1:func.9">Der1</a> <a href="vectsp_1.html#K2" title="VECTSP_1:func.2">F_Real</a></span>)</span> <a href="ringder1.html#K8" title="RINGDER1:func.8">.</a> <font color="Olive" title="b1">p</font></span>)</span></span>)</span></div></div>
