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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E51">Def17</font></span>   defines <a href="circtrm1.html#M2" title="CIRCTRM1:mode.2">SortMap</a> <a onclick="hs(this)" href="javascript:()">CIRCTRM1:def 17 : <br/></a><span> for <font color="Olive" title="b1">S</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" title="b2">V</font> being  <a href="relat_1.html#V2" title="RELAT_1:attr.2">V2</a>() <a href="pboole.html#NM1" title="PBOOLE:NM.1">ManySortedSet</a> of  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">S</font><br/>  for <font color="Olive" title="b3">A</font> being   <a href="msualg_1.html#V4" title="MSUALG_1:attr.4">non-empty</a>   <a href="msualg_1.html#L3" title="MSUALG_1:struct.3">MSAlgebra</a> over <font color="Olive" title="b1">S</font><br/>  for <font color="Olive" title="b4">X</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 <span class="p1">(<span class="default"><font color="Olive" title="b1">S</font> <a href="msaterm.html#K1" title="MSATERM:func.1">-Terms</a> <font color="Olive" title="b2">V</font></span>)</span><br/>  for <font color="Olive" title="b5">G</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="msafree2.html#V2" title="MSAFREE2:attr.2">Circuit-like</a>   <a href="msualg_1.html#L1" title="MSUALG_1:struct.1">ManySortedSign</a> <br/>  for <font color="Olive" title="b6">C</font> being   <a href="msualg_1.html#V4" title="MSUALG_1:attr.4">non-empty</a>  <a href="circuit1.html#NM1" title="CIRCUIT1:NM.1">Circuit</a> of <font color="Olive" title="b5">G</font>  st <font color="Olive" title="b6">C</font> <a href="circtrm1.html#R7" title="CIRCTRM1:pred.7">calculates</a> <font color="Olive" title="b4">X</font>,<font color="Olive" title="b3">A</font> holds <br/> for <font color="Olive">b<sub>7</sub></font> being   <a href="funct_1.html#V2" title="FUNCT_1:attr.2">one-to-one</a>  <a href="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</a> holds <br/> ( <font color="Olive">b<sub>7</sub></font> is    <a href="circtrm1.html#M2" title="CIRCTRM1:mode.2">SortMap</a> of <font color="Olive" title="b4">X</font>,<font color="Olive" title="b3">A</font>,<font color="Olive" title="b6">C</font> iff ( <font color="Olive">b<sub>7</sub></font> <a href="circtrm1.html#R3" title="CIRCTRM1:pred.3">preserves_inputs_of</a> <font color="Olive" title="b4">X</font> <a href="circtrm1.html#K1" title="CIRCTRM1:func.1">-CircuitStr</a> ,<font color="Olive" title="b5">G</font> &amp;  ex <font color="Olive" title="b8">g</font> being   <a href="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</a> st <font color="Olive">b<sub>7</sub></font>,<font color="Olive" title="b8">g</font> <a href="circtrm1.html#R4" title="CIRCTRM1:pred.4">form_embedding_of</a> <font color="Olive" title="b4">X</font> <a href="circtrm1.html#K6" title="CIRCTRM1:func.6">-Circuit</a> <font color="Olive" title="b3">A</font>,<font color="Olive" title="b6">C</font> ) );<br/></span></div>
