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<div><span class="kw">theorem </span><a NAME="T42"><span class="comment"><font color="firebrick">:: INSTALG1:42</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">S1</font>, <font color="Olive" title="b2">S2</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="b3">X</font> being  <a href="relat_1.html#V2" title="RELAT_1:attr.2">V2</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="b2">S2</font><br/>  for <font color="Olive" title="b4">f</font> being   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">S1</font>, the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b2">S2</font><br/>  for <font color="Olive" title="b5">g</font> being   <a href="funct_1.html#V2" title="FUNCT_1:attr.2">one-to-one</a>  <a href="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</a>  st <font color="Olive" title="b4">f</font>,<font color="Olive" title="b5">g</font> <a href="pua2mss1.html#R3" title="PUA2MSS1:pred.3">form_morphism_between</a> <font color="Olive" title="b1">S1</font>,<font color="Olive" title="b2">S2</font> holds <br/> <a href="instalg1.html#K3" title="INSTALG1:func.3">hom</a> (<font color="Olive" title="b4">f</font>,<font color="Olive" title="b5">g</font>,<font color="Olive" title="b3">X</font>,<font color="Olive" title="b1">S1</font>,<font color="Olive" title="b2">S2</font>) <a href="msualg_3.html#R3" title="MSUALG_3:pred.3">is_monomorphism</a>  <a href="msafree.html#K11" title="MSAFREE:func.11">FreeMSA</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">X</font> <a href="funct_1.html#NK3" title="FUNCT_1:NK.3">*</a> <font color="Olive" title="b4">f</font></span>)</span>,<span class="p1">(<span class="default"><a href="msafree.html#K11" title="MSAFREE:func.11">FreeMSA</a> <font color="Olive" title="b3">X</font></span>)</span> <a href="instalg1.html#K1" title="INSTALG1:func.1">|</a> (<font color="Olive" title="b1">S1</font>,<font color="Olive" title="b4">f</font>,<font color="Olive" title="b5">g</font>)</div></div>
