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<div><span class="kw">theorem </span><a NAME="T43"><span class="comment"><font color="firebrick">:: REALALG3:43</font></span><br/></a><div class="add"> <a href="realalg1.html#K7" title="REALALG1:func.7">Positives(F_Rat)</a>  <a href="realalg3.html#NR2" title="REALALG3:NR.2">not_extends_to</a>  <a href="field_6.html#K6" title="FIELD_6:func.6">FAdj</a> (<a href="gaussint.html#K11" title="GAUSSINT:func.11">F_Rat</a>,<span class="p1"><a href="ring_4.html#K1" title="RING_4:func.1">{</a><span class="default"><span class="p2">(<span class="default"><a href="field_9.html#K16" title="FIELD_9:func.16">sqrt</a> <span class="p3">(<span class="default"><a href="algstr_0.html#K4" title="ALGSTR_0:func.4">-</a> <span class="p4">(<span class="default"><a href="struct_0.html#K5" title="STRUCT_0:func.5">1.</a> <a href="gaussint.html#K11" title="GAUSSINT:func.11">F_Rat</a></span>)</span></span>)</span></span>)</span></span><a href="ring_4.html#K1" title="RING_4:func.1">}</a></span>) <span class="kw">by</span> <span class="lab"><a class="ref" href="realalg1.html#T26" onmouseover="rs('realalg1/T26')" onmouseout="rh()">REALALG1:26</a>, <a class="ref" href="realalg3.html#T41" target="_self" onmouseover="rs('realalg3/T41')" onmouseout="rh()">oext2</a></span>;<br/></div></div>
