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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E17">Def20</font></span>   defines <a href="msualg_4.html#K19" title="MSUALG_4:func.19">MSHomQuot</a> <a onclick="hs(this)" href="javascript:()">MSUALG_4:def 20 : <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><br/>  for <font color="Olive">b<sub>5</sub></font> being   <a href="msualg_3.html#NM1" title="MSUALG_3:NM.1">ManySortedFunction</a> of <span class="p1">(<span class="default"><a href="msualg_4.html#K13" title="MSUALG_4:func.13">QuotMSAlg</a> (<font color="Olive" title="b2">U1</font>,<span class="p2">(<span class="default"><a href="msualg_4.html#K17" title="MSUALG_4:func.17">MSCng</a> <font color="Olive" title="b4">F</font></span>)</span>)</span>)</span>,<font color="Olive" title="b3">U2</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#K19" title="MSUALG_4:func.19">MSHomQuot</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_3.html#K1" title="MSUALG_3:func.1">.</a> <font color="Olive" title="b6">s</font> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a>  <a href="msualg_4.html#K18" title="MSUALG_4:func.18">MSHomQuot</a> (<font color="Olive" title="b4">F</font>,<font color="Olive" title="b6">s</font>) );<br/></span></div>
