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<div><span class="kw">theorem </span><a NAME="T30"><span class="comment"><font color="firebrick">:: DIFF_3:30</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">r1</font>, <font color="Olive" title="b2">r2</font>, <font color="Olive" title="b3">x0</font>, <font color="Olive" title="b4">x1</font> being   <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</a><br/>  for <font color="Olive" title="b5">f1</font>, <font color="Olive" title="b6">f2</font> being   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a>,<a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a> holds  <span class="p1"><a href="diff_1.html#K9" title="DIFF_1:func.9">[!</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Olive" title="b1">r1</font> <a href="valued_1.html#K26" title="VALUED_1:func.26">(#)</a> <font color="Olive" title="b5">f1</font></span>)</span> <a href="valued_1.html#K47" title="VALUED_1:func.47">-</a> <span class="p3">(<span class="default"><font color="Olive" title="b2">r2</font> <a href="valued_1.html#K26" title="VALUED_1:func.26">(#)</a> <font color="Olive" title="b6">f2</font></span>)</span></span>)</span>,<font color="Olive" title="b3">x0</font>,<font color="Olive" title="b4">x1</font></span><a href="diff_1.html#K9" title="DIFF_1:func.9">!]</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">r1</font> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <span class="p2"><a href="diff_1.html#K9" title="DIFF_1:func.9">[!</a><span class="default"><font color="Olive" title="b5">f1</font>,<font color="Olive" title="b3">x0</font>,<font color="Olive" title="b4">x1</font></span><a href="diff_1.html#K9" title="DIFF_1:func.9">!]</a></span></span>)</span> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">r2</font> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <span class="p2"><a href="diff_1.html#K9" title="DIFF_1:func.9">[!</a><span class="default"><font color="Olive" title="b6">f2</font>,<font color="Olive" title="b3">x0</font>,<font color="Olive" title="b4">x1</font></span><a href="diff_1.html#K9" title="DIFF_1:func.9">!]</a></span></span>)</span></div></div>
