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<b>let </b><font color="Maroon">S</font> be  non <a href="struct_0.html#V3">empty</a> non <a href="msualg_1.html#V2">void</a>  <a href="msualg_1.html#L1">ManySortedSign</a> , <font color="Maroon">S'</font> be  non <a href="struct_0.html#V3">empty</a> non <a href="msualg_1.html#V2">void</a>  <a href="msualg_1.html#L1">ManySortedSign</a> ;<br/>

<b>consider </b><font color="Maroon">A</font> being  <a href="msualg_1.html#V5">non-empty</a>  <a href="msualg_1.html#L3">MSAlgebra</a> of <font color="Maroon">S</font>;<br/>
<b>let </b><font color="Maroon">f</font> be   <a href="funct_2.html#NM1">Function</a> of the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">S'</font>,the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">S</font>;<br/><b>let </b><font color="Maroon">g</font> be   <a href="funct_1.html#NM1">Function</a>;<br/>



<b>assume </b><a NAME="E2:48"/><i><font color="Green">E37</font></i>: 
<font color="Maroon">f</font>,<font color="Maroon">g</font> <a href="pua2mss1.html#R3">form_morphism_between</a> <font color="Maroon">S'</font>,<font color="Maroon">S</font>
 ;<br/>

<a NAME="E3:48"/><b>then </b>
<font color="Maroon">A</font> <a href="instalg1.html#K1" target="_self">|</a> <font color="Maroon">S'</font>,<font color="Maroon">f</font>,<font color="Maroon">g</font> is  <a href="msualg_1.html#V5">non-empty</a>  <a href="msualg_1.html#L3">MSAlgebra</a> of <font color="Maroon">S'</font>
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E4:48"/>
for <font color="Olive">s1</font>, <font color="Olive">s2</font> being  <a href="msualg_1.html#NM1">SortSymbol</a> of <font color="Maroon">S'</font>  st  <a href="msualg_6.html#K3">TranslationRel</a> <font color="Maroon">S'</font> <a href="rewrite1.html#R1">reduces</a> <font color="Olive">s1</font>,<font color="Olive">s2</font> holds <br/> <a href="msualg_6.html#K3">TranslationRel</a> <font color="Maroon">S</font> <a href="rewrite1.html#R1">reduces</a> <font color="Maroon">f</font> <a href="funct_2.html#K3">.</a> <font color="Olive">s1</font>,<font color="Maroon">f</font> <a href="funct_2.html#K3">.</a> <font color="Olive">s2</font>
 <b>by </b><i>, </i>;<br/>


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