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<div>:: <span class="kw">deftheorem </span>   defines <a href="proofs_1.html#K9" title="PROOFS_1:func.9">\/</a> <a onclick="hs(this)" href="javascript:()">PROOFS_1:def 20 : <br/></a><span> for <font color="Olive" title="b1">P</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="proofs_1.html#L1" title="PROOFS_1:struct.1">ProofSystem</a> <br/>  for <font color="Olive" title="b2">B</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">P</font> holds  <font color="Olive" title="b1">P</font> <a href="proofs_1.html#K9" title="PROOFS_1:func.9">\/</a> <font color="Olive" title="b2">B</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="proofs_1.html#G1" title="PROOFS_1:aggr.1">ProofSystem</a>(#  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">P</font>,<span class="p1">(<span class="default"> the <a href="proofs_1.html#U1" title="PROOFS_1:sel.1">Axioms</a> of <font color="Olive" title="b1">P</font> <a href="proofs_1.html#K8" title="PROOFS_1:func.8">\/</a> <font color="Olive" title="b2">B</font></span>)</span>, the <a href="proofs_1.html#U2" title="PROOFS_1:sel.2">Rules</a> of <font color="Olive" title="b1">P</font> #);<br/></span></div>
