<?xml version="1.0"?>
<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E17">Th7</font></span>: <a NAME="T7"><span class="comment"><font color="firebrick">:: GROUP_10:7</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">S</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="group_1.html#V1" title="GROUP_1:attr.1">unital</a>   <a href="algstr_0.html#L3" title="ALGSTR_0:struct.3">multMagma</a> <br/>  for <font color="Olive" title="b2">E</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b3">x</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b2">E</font><br/>  for <font color="Olive" title="b4">T</font> being   <a href="group_10.html#NM1" title="GROUP_10:NM.1">LeftOperation</a> of <font color="Olive" title="b1">S</font>,<font color="Olive" title="b2">E</font>  st <font color="Olive" title="b3">x</font> <a href="group_10.html#R1" title="GROUP_10:pred.1">is_fixed_under</a> <font color="Olive" title="b4">T</font> holds <br/> <a href="group_10.html#K13" title="GROUP_10:func.13">the_orbit_of</a> (<font color="Olive" title="b3">x</font>,<font color="Olive" title="b4">T</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><font color="Olive" title="b3">x</font></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span></div></div>
