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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E50">Th48</font></span>: <a NAME="T48"><span class="comment"><font color="firebrick">:: MSAFREE4:48</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">non-empty</a> <a href="struct_0.html#NM8" title="STRUCT_0:NM.8">ManySortedSet</a> of <font color="Olive" title="b1">S</font><br/>  for <font color="Olive" title="b3">A2</font> being  <font color="Olive">b<sub>2</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="msualg_1.html#L3" title="MSUALG_1:struct.3">MSAlgebra</a> over <font color="Olive" title="b1">S</font> holds  <span class="p1">(<span class="default"><a href="msafree4.html#K4" title="MSAFREE4:func.4">canonical_homomorphism</a> <font color="Olive" title="b3">A2</font></span>)</span> <a href="pboole.html#K8" title="PBOOLE:func.8">**</a> <span class="p1">(<span class="default"><a href="msafree4.html#K4" title="MSAFREE4:func.4">canonical_homomorphism</a> <font color="Olive" title="b3">A2</font></span>)</span> <a href="pboole.html#R8" title="PBOOLE:pred.8">=</a>  <a href="msafree4.html#K4" title="MSAFREE4:func.4">canonical_homomorphism</a> <font color="Olive" title="b3">A2</font></div></div>
