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<div><span class="kw">theorem </span><a NAME="T109"><span class="comment"><font color="firebrick">:: MSAFREE5:109</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">s</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">y</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">s</font><br/>  for <font color="Olive" title="b5">Q</font> being  <font color="Olive">b<sub>3</sub></font>,<font color="Olive">b<sub>1</sub></font> <a href="msafree4.html#V5" title="MSAFREE4:attr.5">-terms</a>   <a href="msafree4.html#V6" title="MSAFREE4:attr.6">all_vars_including</a>   <a href="msafree4.html#V7" title="MSAFREE4:attr.7">inheriting_operations</a>   <a href="msafree4.html#V8" title="MSAFREE4:attr.8">free_in_itself</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="b6">v</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="b3">Y</font>)</span>)</span><br/>  for <font color="Olive" title="b7">h2</font> being  <font color="Olive">b<sub>4</sub></font> <a href="msafree5.html#V13" title="MSAFREE5:attr.13">-constant</a>   <a href="msafree5.html#M1" title="MSAFREE5:mode.1">Homomorphism</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="b5">Q</font>  st <font color="Olive" title="b5">Q</font> is  <a href="msafree5.html#V14" title="MSAFREE5:attr.14">struct-invariant</a>  &amp; <font color="Olive" title="b6">v</font> is <font color="Olive" title="b4">y</font> <a href="msafree5.html#V9" title="MSAFREE5:attr.9">-omitting</a>  holds <br/><font color="Olive" title="b7">h2</font> <a href="msafree5.html#K4" title="MSAFREE5:func.4">.</a> <font color="Olive" title="b6">v</font> is <font color="Olive" title="b4">y</font> <a href="msafree5.html#V9" title="MSAFREE5:attr.9">-omitting</a> </div></div>
