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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E15">Def18</font></span>   defines <a href="msualg_4.html#K17" title="MSUALG_4:func.17">MSCng</a> <a onclick="hs(this)" href="javascript:()">MSUALG_4:def 18 : <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">U1</font>, <font color="Olive" title="b3">U2</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">F</font> being   <a href="msualg_3.html#NM1" title="MSUALG_3:NM.1">ManySortedFunction</a> of <font color="Olive" title="b2">U1</font>,<font color="Olive" title="b3">U2</font>  st <font color="Olive" title="b4">F</font> <a href="msualg_3.html#R1" title="MSUALG_3:pred.1">is_homomorphism</a> <font color="Olive" title="b2">U1</font>,<font color="Olive" title="b3">U2</font> holds <br/> for <font color="Olive">b<sub>5</sub></font> being   <a href="msualg_4.html#NM4" title="MSUALG_4:NM.4">MSCongruence</a> of <font color="Olive" title="b2">U1</font> holds <br/> ( <font color="Olive">b<sub>5</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="msualg_4.html#K17" title="MSUALG_4:func.17">MSCng</a> <font color="Olive" title="b4">F</font> iff  for <font color="Olive" title="b6">s</font> being   <a href="msualg_1.html#NM1" title="MSUALG_1:NM.1">SortSymbol</a> of <font color="Olive" title="b1">S</font> holds  <font color="Olive">b<sub>5</sub></font> <a href="msualg_4.html#K2" title="MSUALG_4:func.2">.</a> <font color="Olive" title="b6">s</font> <a href="relset_1.html#R2" title="RELSET_1:pred.2">=</a>  <a href="msualg_4.html#K16" title="MSUALG_4:func.16">MSCng</a> (<font color="Olive" title="b4">F</font>,<font color="Olive" title="b6">s</font>) );<br/></span></div>
