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<div><span class="kw">theorem </span><a NAME="T17"><span class="comment"><font color="firebrick">:: FDIFF_12:17</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">f</font> being   <a href="partfun1.html#NM1" title="PARTFUN1:NM.1">PartFunc</a> of <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a>,<a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a><br/>  for <font color="Olive" title="b2">x0</font> being   <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</a>  st  <a href="relset_1.html#K1" title="RELSET_1:func.1">dom</a> <font color="Olive" title="b1">f</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="limfunc1.html#K3" title="LIMFUNC1:func.3">right_open_halfline</a> <font color="Olive" title="b2">x0</font> &amp; <font color="Olive" title="b1">f</font> <a href="fdiff_3.html#R2" title="FDIFF_3:pred.2">is_Rcontinuous_in</a> <font color="Olive" title="b2">x0</font> holds <br/><font color="Olive" title="b1">f</font> <a href="fcont_1.html#R1" title="FCONT_1:pred.1">is_continuous_in</a> <font color="Olive" title="b2">x0</font></div></div>
