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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E25">Th29</font></span>: <a NAME="T29"><span class="comment"><font color="firebrick">:: PDIFF_9:29</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">m</font>, <font color="Olive" title="b2">n</font> being   non  <a href="ordinal1.html#V8" title="ORDINAL1:attr.8">zero</a>   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a> <br/>  for <font color="Olive" title="b3">f</font>, <font color="Olive" title="b4">g</font> being   <a href="partfun1.html#NM1" title="PARTFUN1:NM.1">PartFunc</a> of <span class="p1">(<span class="default"><a href="euclid.html#K1" title="EUCLID:func.1">REAL</a> <font color="Olive" title="b1">m</font></span>)</span>,<span class="p1">(<span class="default"><a href="euclid.html#K1" title="EUCLID:func.1">REAL</a> <font color="Olive" title="b2">n</font></span>)</span><br/>  for <font color="Olive" title="b5">x</font> being    <a href="finseq_2.html#M2" title="FINSEQ_2:mode.2">Element</a> of  <a href="euclid.html#K1" title="EUCLID:func.1">REAL</a> <font color="Olive" title="b1">m</font>  st <font color="Olive" title="b3">f</font> <a href="pdiff_7.html#R3" title="PDIFF_7:pred.3">is_continuous_in</a> <font color="Olive" title="b5">x</font> &amp; <font color="Olive" title="b4">g</font> <a href="pdiff_7.html#R3" title="PDIFF_7:pred.3">is_continuous_in</a> <font color="Olive" title="b5">x</font> holds <br/>( <font color="Olive" title="b3">f</font> <a href="integr15.html#K7" title="INTEGR15:func.7">+</a> <font color="Olive" title="b4">g</font> <a href="pdiff_7.html#R3" title="PDIFF_7:pred.3">is_continuous_in</a> <font color="Olive" title="b5">x</font> &amp; <font color="Olive" title="b3">f</font> <a href="integr15.html#K8" title="INTEGR15:func.8">-</a> <font color="Olive" title="b4">g</font> <a href="pdiff_7.html#R3" title="PDIFF_7:pred.3">is_continuous_in</a> <font color="Olive" title="b5">x</font> )</div></div>
