<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span>   defines <a href="realalg1.html#V9" title="REALALG1:attr.9">with_squares</a> <a onclick="hs(this)" href="javascript:()">REALALG1:def 12 : <br/></a><span> for <font color="Olive" title="b1">R</font> being   <a href="vectsp_1.html#NM3" title="VECTSP_1:NM.3">Ring</a><br/>  for <font color="Olive" title="b2">S</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">R</font> holds <br/> ( <font color="Olive" title="b2">S</font> is  <a href="realalg1.html#V9" title="REALALG1:attr.9">with_squares</a>  iff  <a href="realalg1.html#NK4" title="REALALG1:NK.4">SQ</a> <font color="Olive" title="b1">R</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Olive" title="b2">S</font> );<br/></span></div>
