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<div><span class="kw">theorem </span><a NAME="T86"><span class="comment"><font color="firebrick">:: REALALG2:86</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">R</font> being   <a href="realalg1.html#V14" title="REALALG1:attr.14">ordered</a>  <a href="vectsp_2.html#NM2" title="VECTSP_2:NM.2">domRing</a><br/>  for <font color="Olive" title="b2">O</font> being   <a href="realalg1.html#NM2" title="REALALG1:NM.2">Ordering</a> of <font color="Olive" title="b1">R</font><br/>  for <font color="Olive" title="b3">a</font> being   <a href="realalg1.html#NV8" title="REALALG1:NV.8">square</a>  <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">R</font><br/>  for <font color="Olive" title="b4">b</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">R</font> holds <br/> ( <font color="Olive" title="b4">b</font> is    <a href="realalg2.html#NM2" title="REALALG2:NM.2">Sqrt</a> of <font color="Olive" title="b3">a</font> iff ( <font color="Olive" title="b4">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="realalg2.html#K4" title="REALALG2:func.4">sqrt</a> (<font color="Olive" title="b2">O</font>,<font color="Olive" title="b3">a</font>) or <font color="Olive" title="b4">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="algstr_0.html#K4" title="ALGSTR_0:func.4">-</a> <span class="p1">(<span class="default"><a href="realalg2.html#K4" title="REALALG2:func.4">sqrt</a> (<font color="Olive" title="b2">O</font>,<font color="Olive" title="b3">a</font>)</span>)</span> ) )</div></div>
