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<div>:: <span class="kw">deftheorem </span>   defines <a href="proofs_1.html#K11" title="PROOFS_1:func.11">Theorems</a> <a onclick="hs(this)" href="javascript:()">PROOFS_1:def 33 : <br/></a><span> for <font color="Olive" title="b1">X</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> holds   <a href="proofs_1.html#K11" title="PROOFS_1:func.11">Theorems</a> (<font color="Olive" title="b1">X</font>,<font color="Olive" title="b2">R</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"> { <span class="default"> <font color="Olive" title="b3">t</font> where <font color="Olive" title="b3">t</font> is    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b1">X</font> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <span class="p1">(<span class="default"><a href="relat_1.html#NK2" title="RELAT_1:NK.2">rng</a> <font color="Olive" title="b2">R</font></span>)</span> : <font color="Olive" title="b1">X</font>,<font color="Olive" title="b2">R</font> <a href="proofs_1.html#R2" title="PROOFS_1:pred.2">|-</a> <font color="Olive" title="b3">t</font> </span> } </span> ;<br/></span></div>
