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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E13">Def11</font></span>   defines <a href="grzlog_1.html#K22" title="GRZLOG_1:func.22">LD-specific-axioms</a> <a onclick="hs(this)" href="javascript:()">GRZLOG_1:def 22 : <br/></a><span> for <font color="Olive">b<sub>1</sub></font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <a href="grzlog_1.html#K13" title="GRZLOG_1:func.13">GRZ-formula-set</a> holds <br/> ( <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="grzlog_1.html#K22" title="GRZLOG_1:func.22">LD-specific-axioms</a>  iff  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="b2">a</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive">b<sub>1</sub></font> iff  ex <font color="Olive" title="b3">t</font>, <font color="Olive" title="b4">u</font>, <font color="Olive" title="b5">v</font> being   <a href="grzlog_1.html#NM2" title="GRZLOG_1:NM.2">GRZ-formula</a> st <br/>( <font color="Olive" title="b2">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">t</font> <a href="grzlog_1.html#K17" title="GRZLOG_1:func.17">'='</a> <font color="Olive" title="b4">u</font></span>)</span> <a href="grzlog_1.html#K19" title="GRZLOG_1:func.19">=&gt;</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b3">t</font> <a href="grzlog_1.html#K16" title="GRZLOG_1:func.16">'&amp;'</a> <font color="Olive" title="b5">v</font></span>)</span> <a href="grzlog_1.html#K17" title="GRZLOG_1:func.17">'='</a> <span class="p2">(<span class="default"><font color="Olive" title="b4">u</font> <a href="grzlog_1.html#K16" title="GRZLOG_1:func.16">'&amp;'</a> <font color="Olive" title="b5">v</font></span>)</span></span>)</span> or <font color="Olive" title="b2">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">t</font> <a href="grzlog_1.html#K17" title="GRZLOG_1:func.17">'='</a> <font color="Olive" title="b4">u</font></span>)</span> <a href="grzlog_1.html#K19" title="GRZLOG_1:func.19">=&gt;</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b3">t</font> <a href="grzlog_1.html#K18" title="GRZLOG_1:func.18">'or'</a> <font color="Olive" title="b5">v</font></span>)</span> <a href="grzlog_1.html#K17" title="GRZLOG_1:func.17">'='</a> <span class="p2">(<span class="default"><font color="Olive" title="b4">u</font> <a href="grzlog_1.html#K18" title="GRZLOG_1:func.18">'or'</a> <font color="Olive" title="b5">v</font></span>)</span></span>)</span> or <font color="Olive" title="b2">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">t</font> <a href="grzlog_1.html#K17" title="GRZLOG_1:func.17">'='</a> <font color="Olive" title="b4">u</font></span>)</span> <a href="grzlog_1.html#K19" title="GRZLOG_1:func.19">=&gt;</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b3">t</font> <a href="grzlog_1.html#K17" title="GRZLOG_1:func.17">'='</a> <font color="Olive" title="b5">v</font></span>)</span> <a href="grzlog_1.html#K17" title="GRZLOG_1:func.17">'='</a> <span class="p2">(<span class="default"><font color="Olive" title="b4">u</font> <a href="grzlog_1.html#K17" title="GRZLOG_1:func.17">'='</a> <font color="Olive" title="b5">v</font></span>)</span></span>)</span> ) ) );<br/></span></div>
