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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E9">Def5</font></span>   defines <a href="osalg_1.html#K1" title="OSALG_1:func.1">OSSign</a> <a onclick="hs(this)" href="javascript:()">OSALG_1:def 5 : <br/></a><span> for <font color="Olive" title="b1">S0</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="msualg_1.html#L1" title="MSUALG_1:struct.1">ManySortedSign</a> <br/>  for <font color="Olive">b<sub>2</sub></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="osalg_1.html#V3" title="OSALG_1:attr.3">strict</a>   <a href="osalg_1.html#V4" title="OSALG_1:attr.4">order-sorted</a>   <a href="osalg_1.html#L3" title="OSALG_1:struct.3">OverloadedRSSign</a>  holds <br/> ( <font color="Olive">b<sub>2</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="osalg_1.html#K1" title="OSALG_1:func.1">OSSign</a> <font color="Olive" title="b1">S0</font> iff (  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">S0</font> <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">b<sub>2</sub></font> &amp;  <a href="partfun1.html#K6" title="PARTFUN1:func.6">id</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">S0</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  the <a href="orders_2.html#U1" title="ORDERS_2:sel.1">InternalRel</a> of <font color="Olive">b<sub>2</sub></font> &amp;  the <a href="struct_0.html#U4" title="STRUCT_0:sel.4">carrier'</a> of <font color="Olive" title="b1">S0</font> <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">b<sub>2</sub></font> &amp;  <a href="partfun1.html#K6" title="PARTFUN1:func.6">id</a>  the <a href="struct_0.html#U4" title="STRUCT_0:sel.4">carrier'</a> of <font color="Olive" title="b1">S0</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  the <a href="osalg_1.html#U1" title="OSALG_1:sel.1">Overloading</a> of <font color="Olive">b<sub>2</sub></font> &amp;  the <a href="msualg_1.html#U1" title="MSUALG_1:sel.1">Arity</a> of <font color="Olive" title="b1">S0</font> <a href="funct_2.html#R1" title="FUNCT_2:pred.1">=</a>  the <a href="msualg_1.html#U1" title="MSUALG_1:sel.1">Arity</a> of <font color="Olive">b<sub>2</sub></font> &amp;  the <a href="msualg_1.html#U2" title="MSUALG_1:sel.2">ResultSort</a> of <font color="Olive" title="b1">S0</font> <a href="funct_2.html#R1" title="FUNCT_2:pred.1">=</a>  the <a href="msualg_1.html#U2" title="MSUALG_1:sel.2">ResultSort</a> of <font color="Olive">b<sub>2</sub></font> ) );<br/></span></div>
