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<b>let </b><font color="Maroon">S1</font> be  non <a href="struct_0.html#V3">empty</a>  <a href="msualg_1.html#L1">ManySortedSign</a> , <font color="Maroon">S2</font> be  non <a href="struct_0.html#V3">empty</a>  <a href="msualg_1.html#L1">ManySortedSign</a> ;<br/><b>let </b><font color="Maroon">A1</font> be  <a href="msualg_1.html#V5">non-empty</a>  <a href="msualg_1.html#L3">MSAlgebra</a> of <font color="Maroon">S1</font>;<br/><b>let </b><font color="Maroon">s1</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="card_3.html#K4">product</a> the <a href="msualg_1.html#U4">Sorts</a> of <font color="Maroon">A1</font>;<br/><b>let </b><font color="Maroon">A2</font> be  <a href="msualg_1.html#V5">non-empty</a>  <a href="msualg_1.html#L3">MSAlgebra</a> of <font color="Maroon">S2</font>;<br/><b>let </b><font color="Maroon">s2</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="card_3.html#K4">product</a> the <a href="msualg_1.html#U4">Sorts</a> of <font color="Maroon">A2</font>;<br/>









<b>assume </b><a NAME="E1:44"/>
the <a href="msualg_1.html#U4">Sorts</a> of <font color="Maroon">A1</font> <a href="partfun1.html#R1">tolerates</a> the <a href="msualg_1.html#U4">Sorts</a> of <font color="Maroon">A2</font>
 ;<br/>

<a NAME="E2:44"/><b>then </b>
the <a href="msualg_1.html#U4">Sorts</a> of <span class="p1">(<span class="default"><font color="Maroon">A1</font> <a href="circcomb.html#K4" target="_self">+*</a> <font color="Maroon">A2</font></span>)</span> <a href="hidden.html#R1">=</a> the <a href="msualg_1.html#U4">Sorts</a> of <font color="Maroon">A1</font> <a href="circcomb.html#K1" target="_self">+*</a> the <a href="msualg_1.html#U4">Sorts</a> of <font color="Maroon">A2</font>
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E3:44"/>
<font color="Maroon">s1</font> <a href="funct_4.html#K1">+*</a> <font color="Maroon">s2</font> <a href="hidden.html#R2">in</a>  <a href="card_3.html#K4">product</a> the <a href="msualg_1.html#U4">Sorts</a> of <span class="p1">(<span class="default"><font color="Maroon">A1</font> <a href="circcomb.html#K4" target="_self">+*</a> <font color="Maroon">A2</font></span>)</span>
 <b>by </b><i/>;<br/>


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