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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E2">Def1</font></span>   defines <a href="real_ns1.html#K1" title="REAL_NS1:func.1">Euclid_add</a> <a onclick="hs(this)" href="javascript:()">REAL_NS1: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">b<sub>2</sub></font> being   <a href="binop_1.html#NM2" title="BINOP_1:NM.2">BinOp</a> of <span class="p1">(<span class="default"><a href="euclid.html#K1" title="EUCLID:func.1">REAL</a> <font color="Olive" title="b1">n</font></span>)</span> holds <br/> ( <font color="Olive">b<sub>2</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="real_ns1.html#K1" title="REAL_NS1:func.1">Euclid_add</a> <font color="Olive" title="b1">n</font> iff  for <font color="Olive" title="b3">a</font>, <font color="Olive" title="b4">b</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  <font color="Olive">b<sub>2</sub></font> <a href="binop_1.html#K4" title="BINOP_1:func.4">.</a> (<font color="Olive" title="b3">a</font>,<font color="Olive" title="b4">b</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">a</font> <a href="euclid.html#K7" title="EUCLID:func.7">+</a> <font color="Olive" title="b4">b</font> );<br/></span></div>
