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<div><span class="kw">theorem </span><a NAME="T23"><span class="comment"><font color="firebrick">:: LIMFUNC2:23</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">x0</font> being   <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="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>  st ( <font color="Olive" title="b2">f</font> <a href="limfunc2.html#R2" title="LIMFUNC2:pred.2">is_left_divergent_to+infty_in</a> <font color="Olive" title="b1">x0</font> or <font color="Olive" title="b2">f</font> <a href="limfunc2.html#R3" title="LIMFUNC2:pred.3">is_left_divergent_to-infty_in</a> <font color="Olive" title="b1">x0</font> ) holds <br/> <a href="valued_1.html#K56" title="VALUED_1:func.56">abs</a> <font color="Olive" title="b2">f</font> <a href="limfunc2.html#R2" title="LIMFUNC2:pred.2">is_left_divergent_to+infty_in</a> <font color="Olive" title="b1">x0</font></div></div>
