<?xml version="1.0"?>
<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E11">Th11</font></span>: <a NAME="T7"><span class="comment"><font color="firebrick">:: ALGNUM_1:7</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">n</font> being    <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="b2">A</font>, <font color="Olive" title="b3">B</font> being   <a href="vectsp_1.html#NM3" title="VECTSP_1:NM.3">Ring</a><br/>  for <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="b2">A</font>  st <font color="Olive" title="b2">A</font> is    <a href="c0sp1.html#M1" title="C0SP1:mode.1">Subring</a> of <font color="Olive" title="b3">B</font> holds <br/><span class="p1">(<span class="default"><a href="group_1.html#K4" title="GROUP_1:func.4">power</a> <font color="Olive" title="b3">B</font></span>)</span> <a href="nat_1.html#K9" title="NAT_1:func.9">.</a> (<span class="p1">(<span class="default"><a href="struct_0.html#K9" title="STRUCT_0:func.9">In</a> (<font color="Olive" title="b4">z</font>,<font color="Olive" title="b3">B</font>)</span>)</span>,<font color="Olive" title="b1">n</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K9" title="STRUCT_0:func.9">In</a> (<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="group_1.html#K4" title="GROUP_1:func.4">power</a> <font color="Olive" title="b2">A</font></span>)</span> <a href="nat_1.html#K9" title="NAT_1:func.9">.</a> (<font color="Olive" title="b4">z</font>,<font color="Olive" title="b1">n</font>)</span>)</span>,<font color="Olive" title="b3">B</font>)</div></div>
