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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E52">Th52</font></span>: <a NAME="T57"><span class="comment"><font color="firebrick">:: AOFA_A00:57</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">M</font>, <font color="Olive" title="b2">O</font>, <font color="Olive" title="b3">N</font>, <font color="Olive" title="b4">I</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>   st <font color="Olive" title="b4">I</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b1">M</font> &amp; <font color="Olive" title="b3">N</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b1">M</font> holds <br/> ex <font color="Olive" title="b5">C</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   non  <a href="struct_0.html#V11" title="STRUCT_0:attr.11">void</a>   <a href="aofa_a00.html#V12" title="AOFA_A00:attr.12">strict</a>  4 <a href="aofa_a00.html#V14" title="AOFA_A00:attr.14">-connectives</a>   <a href="aofa_a00.html#L5" title="AOFA_A00:struct.5">ConnectivesSignature</a>  st <br/>( <font color="Olive" title="b5">C</font> is 1,<font color="Olive" title="b4">I</font>,<font color="Olive" title="b3">N</font> <a href="aofa_a00.html#V21" title="AOFA_A00:attr.21">-array</a>  &amp; <font color="Olive" title="b5">C</font> is  <a href="aofa_a00.html#V13" title="AOFA_A00:attr.13">1-1-connectives</a>  &amp; <font color="Olive" title="b1">M</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b5">C</font> &amp; <font color="Olive" title="b2">O</font> <a href="xboole_0.html#R1" title="XBOOLE_0:pred.1">misses</a>  the <a href="struct_0.html#U4" title="STRUCT_0:sel.4">carrier'</a> of <font color="Olive" title="b5">C</font> &amp;  the <a href="msualg_1.html#U2" title="MSUALG_1:sel.2">ResultSort</a> of <font color="Olive" title="b5">C</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"> the <a href="aofa_a00.html#U7" title="AOFA_A00:sel.7">connectives</a> of <font color="Olive" title="b5">C</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 2</span>)</span> <a href="aofa_000.html#NR1" title="AOFA_000:NR.1">nin</a> <font color="Olive" title="b1">M</font> )</div></div>
