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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E22">Th31</font></span>: <a NAME="T31"><span class="comment"><font color="firebrick">:: INSTALG1:31</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>   <a href="msualg_1.html#L1" title="MSUALG_1:struct.1">ManySortedSign</a> <br/>  for <font color="Olive" title="b3">f</font>, <font color="Olive" title="b4">g</font> being   <a href="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</a>  st <font color="Olive" title="b3">f</font>,<font color="Olive" title="b4">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/> for <font color="Olive" title="b5">A</font> being    <a href="msualg_1.html#L3" title="MSUALG_1:struct.3">MSAlgebra</a> over <font color="Olive" title="b2">S2</font> holds  <span class="p1">(<span class="default"><a href="msualg_3.html#K2" title="MSUALG_3:func.2">id</a>  the <a href="msualg_1.html#U3" title="MSUALG_1:sel.3">Sorts</a> of <font color="Olive" title="b5">A</font></span>)</span> <a href="funct_1.html#NK3" title="FUNCT_1:NK.3">*</a> <font color="Olive" title="b3">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="msualg_3.html#K2" title="MSUALG_3:func.2">id</a>  the <a href="msualg_1.html#U3" title="MSUALG_1:sel.3">Sorts</a> of <span class="p1">(<span class="default"><font color="Olive" title="b5">A</font> <a href="instalg1.html#K1" title="INSTALG1:func.1">|</a> (<font color="Olive" title="b1">S1</font>,<font color="Olive" title="b3">f</font>,<font color="Olive" title="b4">g</font>)</span>)</span></div></div>
