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<div><span class="kw">theorem </span><a NAME="T125"><span class="comment"><font color="firebrick">:: MSAFREE5:125</font></span><br/></a><div class="add"> 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">s1</font> being   <a href="msualg_1.html#NM1" title="MSUALG_1:NM.1">SortSymbol</a> of <font color="Olive" title="b1">S</font><br/>  for <font color="Olive" title="b3">Y</font> being   <a href="msafree5.html#V6" title="MSAFREE5:attr.6">infinite-yielding</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="b4">s2</font> being  <font color="Olive">b<sub>2</sub></font> <a href="msafree5.html#V15" title="MSAFREE5:attr.15">-reachable</a>  <a href="msualg_1.html#NM1" title="MSUALG_1:NM.1">SortSymbol</a> of <font color="Olive" title="b1">S</font><br/>  for <font color="Olive" title="b5">g1</font> being    <a href="msualg_6.html#M2" title="MSUALG_6:mode.2">Translation</a> of  <a href="msafree3.html#K1" title="MSAFREE3:func.1">Free</a> (<font color="Olive" title="b1">S</font>,<font color="Olive" title="b3">Y</font>),<font color="Olive" title="b2">s1</font>,<font color="Olive" title="b4">s2</font>  ex <font color="Olive" title="b6">y11</font> being    <a href="msafree4.html#M1" title="MSAFREE4:mode.1">Element</a> of <font color="Olive" title="b3">Y</font> <a href="msafree4.html#K1" title="MSAFREE4:func.1">.</a> <font color="Olive" title="b2">s1</font> ex <font color="Olive" title="b7">C12</font> being   <a href="msafree5.html#NM3" title="MSAFREE5:NM.3">context</a> of <font color="Olive" title="b6">y11</font> st <br/>(  <a href="msafree5.html#K3" title="MSAFREE5:func.3">the_sort_of</a> <font color="Olive" title="b7">C12</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">s2</font> &amp; <font color="Olive" title="b5">g1</font> <a href="pboole.html#R8" title="PBOOLE:pred.8">=</a>  <a href="msafree5.html#K24" title="MSAFREE5:func.24">transl</a> <font color="Olive" title="b7">C12</font> )</div></div>
