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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E111">Th97</font></span>: <a NAME="T130"><span class="comment"><font color="firebrick">:: MSAFREE5:130</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">X</font> being  <a href="relat_1.html#V2" title="RELAT_1:attr.2">V5</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">t</font> being   <a href="msafree3.html#NM1" title="MSAFREE3:NM.1">Element</a> of <span class="p1">(<span class="default"><a href="msafree3.html#K1" title="MSAFREE3:func.1">Free</a> (<font color="Olive" title="b1">S</font>,<font color="Olive" title="b2">X</font>)</span>)</span><br/>  for <font color="Olive" title="b4">f</font> being    <a href="msafree5.html#M2" title="MSAFREE5:mode.2">vf-sequence</a> of <font color="Olive" title="b3">t</font><br/>  for <font color="Olive" title="b5">B</font> being    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">S</font>  st <font color="Olive" title="b5">B</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="mcart_1.html#K12" title="MCART_1:func.12">pr2</a> <font color="Olive" title="b4">f</font> holds <br/> <a href="mcart_1.html#K11" title="MCART_1:func.11">pr1</a> <font color="Olive" title="b4">f</font> is  <font color="Olive">b<sub>5</sub></font> <a href="msafree5.html#V17" title="MSAFREE5:attr.17">-sorts</a>   <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of  <a href="card_3.html#K3" title="CARD_3:func.3">Union</a> <font color="Olive" title="b2">X</font></div></div>
