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<div>:: <span class="kw">deftheorem </span>   defines <a href="proofs_1.html#V5" title="PROOFS_1:attr.5">-provable</a> <a onclick="hs(this)" href="javascript:()">PROOFS_1:def 16 : <br/></a><span> for <font color="Olive" title="b1">B</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">R</font> being   <a href="proofs_1.html#NM2" title="PROOFS_1:NM.2">Rule</a><br/>  for <font color="Olive" title="b3">a</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">object</a>  holds <br/> ( <font color="Olive" title="b3">a</font> is <font color="Olive" title="b1">B</font>,<font color="Olive" title="b2">R</font> <a href="proofs_1.html#V5" title="PROOFS_1:attr.5">-provable</a>  iff  for <font color="Olive" title="b4">C</font> being   <a href="proofs_1.html#NM9" title="PROOFS_1:NM.9">Extension</a> of <font color="Olive" title="b1">B</font><br/>  for <font color="Olive" title="b5">E</font> being   <a href="proofs_1.html#NM11" title="PROOFS_1:NM.11">Extension</a> of <font color="Olive" title="b2">R</font> holds  <font color="Olive" title="b4">C</font>,<font color="Olive" title="b5">E</font> <a href="proofs_1.html#R2" title="PROOFS_1:pred.2">|-</a> <font color="Olive" title="b3">a</font> );<br/></span></div>
