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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E30">Def1</font></span>   defines <a href="euclidlp.html#R1" title="EUCLIDLP:pred.1">//</a> <a onclick="hs(this)" href="javascript:()">EUCLIDLP:def 1 : <br/></a><span> for <font color="Olive" title="b1">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive" title="b2">x1</font>, <font color="Olive" title="b3">x2</font> being    <a href="finseq_2.html#M2" title="FINSEQ_2:mode.2">Element</a> of  <a href="euclid.html#K1" title="EUCLID:func.1">REAL</a> <font color="Olive" title="b1">n</font> holds <br/> ( <font color="Olive" title="b2">x1</font> <a href="euclidlp.html#R1" title="EUCLIDLP:pred.1">//</a> <font color="Olive" title="b3">x2</font> iff ( <font color="Olive" title="b2">x1</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="euclid.html#K5" title="EUCLID:func.5">0*</a> <font color="Olive" title="b1">n</font> &amp; <font color="Olive" title="b3">x2</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="euclid.html#K5" title="EUCLID:func.5">0*</a> <font color="Olive" title="b1">n</font> &amp;  ex <font color="Olive" title="b4">r</font> being   <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</a> st <font color="Olive" title="b2">x1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">r</font> <a href="euclid.html#K9" title="EUCLID:func.9">*</a> <font color="Olive" title="b3">x2</font> ) );<br/></span></div>
