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<div><span class="kw">theorem </span><a NAME="T29"><span class="comment"><font color="firebrick">:: HAHNBAN1:29</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">x</font> being   <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</a>  st <font color="Olive" title="b1">x</font> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  holds <br/> for <font color="Olive" title="b2">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> holds  <span class="p1">(<span class="default"><a href="group_1.html#K4" title="GROUP_1:func.4">power</a> <a href="complfld.html#K1" title="COMPLFLD:func.1">F_Complex</a></span>)</span> <a href="binop_1.html#K1" title="BINOP_1:func.1">.</a> (<span class="p1"><a href="hahnban1.html#K1" title="HAHNBAN1:func.1">[**</a><span class="default"><font color="Olive" title="b1">x</font>,<a href="numbers.html#K5" title="NUMBERS:func.5">0</a></span><a href="hahnban1.html#K1" title="HAHNBAN1:func.1">**]</a></span>,<font color="Olive" title="b2">n</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="hahnban1.html#K1" title="HAHNBAN1:func.1">[**</a><span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b1">x</font> <a href="power.html#K2" title="POWER:func.2">to_power</a> <font color="Olive" title="b2">n</font></span>)</span>,<a href="numbers.html#K5" title="NUMBERS:func.5">0</a></span><a href="hahnban1.html#K1" title="HAHNBAN1:func.1">**]</a></span></div></div>
