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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E77">Def51</font></span>   defines <a href="modelc_1.html#K41" title="MODELC_1:func.41">And_</a> <a onclick="hs(this)" href="javascript:()">MODELC_1:def 51 : <br/></a><span> for <font color="Olive" title="b1">S</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</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="modelc_1.html#K30" title="MODELC_1:func.30">ModelSP</a> <font color="Olive" title="b1">S</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="modelc_1.html#K41" title="MODELC_1:func.41">And_</a> <font color="Olive" title="b1">S</font> iff  for <font color="Olive" title="b3">f</font>, <font color="Olive" title="b4">g</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>   st <font color="Olive" title="b3">f</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="modelc_1.html#K30" title="MODELC_1:func.30">ModelSP</a> <font color="Olive" title="b1">S</font> &amp; <font color="Olive" title="b4">g</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="modelc_1.html#K30" title="MODELC_1:func.30">ModelSP</a> <font color="Olive" title="b1">S</font> holds <br/><font color="Olive">b<sub>2</sub></font> <a href="binop_1.html#K1" title="BINOP_1:func.1">.</a> (<font color="Olive" title="b3">f</font>,<font color="Olive" title="b4">g</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="modelc_1.html#K40" title="MODELC_1:func.40">And_0</a> (<font color="Olive" title="b3">f</font>,<font color="Olive" title="b4">g</font>,<font color="Olive" title="b1">S</font>) );<br/></span></div>
