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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E51">Th51</font></span>: <a NAME="T56"><span class="comment"><font color="firebrick">:: AOFA_A00:56</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">B</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="aofa_a00.html#L6" title="AOFA_A00:struct.6">BoolSignature</a> <br/>  for <font color="Olive" title="b2">C</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="aofa_a00.html#L5" title="AOFA_A00:struct.5">ConnectivesSignature</a>  holds <br/> (  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><font color="Olive" title="b1">B</font> <a href="aofa_a00.html#K35" title="AOFA_A00:func.35">+*</a> <font color="Olive" title="b2">C</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">B</font> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b2">C</font> &amp;  the <a href="struct_0.html#U4" title="STRUCT_0:sel.4">carrier'</a> of <span class="p1">(<span class="default"><font color="Olive" title="b1">B</font> <a href="aofa_a00.html#K35" title="AOFA_A00:func.35">+*</a> <font color="Olive" title="b2">C</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  the <a href="struct_0.html#U4" title="STRUCT_0:sel.4">carrier'</a> of <font color="Olive" title="b1">B</font> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a>  the <a href="struct_0.html#U4" title="STRUCT_0:sel.4">carrier'</a> of <font color="Olive" title="b2">C</font> &amp;  the <a href="msualg_1.html#U1" title="MSUALG_1:sel.1">Arity</a> of <span class="p1">(<span class="default"><font color="Olive" title="b1">B</font> <a href="aofa_a00.html#K35" title="AOFA_A00:func.35">+*</a> <font color="Olive" title="b2">C</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  the <a href="msualg_1.html#U1" title="MSUALG_1:sel.1">Arity</a> of <font color="Olive" title="b1">B</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a>  the <a href="msualg_1.html#U1" title="MSUALG_1:sel.1">Arity</a> of <font color="Olive" title="b2">C</font> &amp;  the <a href="msualg_1.html#U2" title="MSUALG_1:sel.2">ResultSort</a> of <span class="p1">(<span class="default"><font color="Olive" title="b1">B</font> <a href="aofa_a00.html#K35" title="AOFA_A00:func.35">+*</a> <font color="Olive" title="b2">C</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  the <a href="msualg_1.html#U2" title="MSUALG_1:sel.2">ResultSort</a> of <font color="Olive" title="b1">B</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a>  the <a href="msualg_1.html#U2" title="MSUALG_1:sel.2">ResultSort</a> of <font color="Olive" title="b2">C</font> )</div></div>
