<?xml version="1.0"?>
<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E23">Th21</font></span>: <a NAME="T21"><span class="comment"><font color="firebrick">:: OSALG_2:21</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">S1</font> being   <a href="osalg_1.html#NM3" title="OSALG_1:NM.3">OrderSortedSign</a><br/>  for <font color="Olive" title="b2">OU0</font> being   <a href="osalg_1.html#NM5" title="OSALG_1:NM.5">OSAlgebra</a> of <font color="Olive" title="b1">S1</font><br/>  for <font color="Olive" title="b3">A</font> being    <a href="osalg_2.html#M2" title="OSALG_2:mode.2">OSSubset</a> of <font color="Olive" title="b2">OU0</font><br/>  for <font color="Olive" title="b4">s1</font>, <font color="Olive" title="b5">s2</font> being   <a href="osalg_1.html#NM1" title="OSALG_1:NM.1">SortSymbol</a> of <font color="Olive" title="b1">S1</font>  st <font color="Olive" title="b4">s1</font> <a href="orders_2.html#R3" title="ORDERS_2:pred.3">&lt;=</a> <font color="Olive" title="b5">s2</font> holds <br/> <a href="osalg_2.html#K8" title="OSALG_2:func.8">OSSubSort</a> (<font color="Olive" title="b3">A</font>,<font color="Olive" title="b5">s2</font>) <a href="setfam_1.html#R2" title="SETFAM_1:pred.2">is_coarser_than</a>  <a href="osalg_2.html#K8" title="OSALG_2:func.8">OSSubSort</a> (<font color="Olive" title="b3">A</font>,<font color="Olive" title="b4">s1</font>)</div></div>
