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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E50">Th33</font></span>: <a NAME="T33"><span class="comment"><font color="firebrick">:: E_TRANS1:33</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">x0</font> being   <a href="xxreal_0.html#V2" title="XXREAL_0:attr.2">positive</a>  <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</a><br/>  for <font color="Olive" title="b2">f</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="int_3.html#K1" title="INT_3:func.1">INT.Ring</a></span>)</span> holds  <a href="e_trans1.html#K1" title="E_TRANS1:func.1">exp_R1</a> <a href="valued_1.html#K20" title="VALUED_1:func.20">(#)</a> <span class="p1">(<span class="default"><a href="e_trans1.html#K9" title="E_TRANS1:func.9">'F'</a> <font color="Olive" title="b2">f</font></span>)</span> <a href="fdiff_1.html#R2" title="FDIFF_1:pred.2">is_differentiable_on</a> <span class="p1"><a href="rcomp_1.html#K2" title="RCOMP_1:func.2">].</a><span class="default"><a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<font color="Olive" title="b1">x0</font></span><a href="rcomp_1.html#K2" title="RCOMP_1:func.2">.[</a></span></div></div>
