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<div><span class="kw">theorem </span><a NAME="T19"><span class="comment"><font color="firebrick">:: BCIALG_2:19</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being   <a href="bcialg_1.html#NM1" title="BCIALG_1:NM.1">BCI-algebra</a><br/>  for <font color="Olive" title="b2">x</font>, <font color="Olive" title="b3">y</font>, <font color="Olive" title="b4">z</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">X</font><br/>  for <font color="Olive" title="b5">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  st <font color="Olive" title="b2">x</font> <a href="bcialg_1.html#R1" title="BCIALG_1:pred.1">&lt;=</a> <font color="Olive" title="b3">y</font> holds <br/>(<font color="Olive" title="b2">x</font>,<font color="Olive" title="b4">z</font>) <a href="bcialg_2.html#K1" title="BCIALG_2:func.1">to_power</a> <font color="Olive" title="b5">n</font> <a href="bcialg_1.html#R1" title="BCIALG_1:pred.1">&lt;=</a> (<font color="Olive" title="b3">y</font>,<font color="Olive" title="b4">z</font>) <a href="bcialg_2.html#K1" title="BCIALG_2:func.1">to_power</a> <font color="Olive" title="b5">n</font></div></div>
