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<div>:: <span class="kw">deftheorem </span>   defines <a href="proofs_1.html#R3" title="PROOFS_1:pred.3">|-</a> <a onclick="hs(this)" href="javascript:()">PROOFS_1:def 17 : <br/></a><span> for <font color="Olive" title="b1">P</font> being    <a href="proofs_1.html#L1" title="PROOFS_1:struct.1">ProofSystem</a> <br/>  for <font color="Olive" title="b2">a</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">object</a>  holds <br/> ( <font color="Olive" title="b1">P</font> <a href="proofs_1.html#R3" title="PROOFS_1:pred.3">|-</a> <font color="Olive" title="b2">a</font> iff  the <a href="proofs_1.html#U1" title="PROOFS_1:sel.1">Axioms</a> of <font color="Olive" title="b1">P</font>, the <a href="proofs_1.html#U2" title="PROOFS_1:sel.2">Rules</a> of <font color="Olive" title="b1">P</font> <a href="proofs_1.html#R2" title="PROOFS_1:pred.2">|-</a> <font color="Olive" title="b2">a</font> );<br/></span></div>
