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<b>let </b><font color="Maroon">c<sub>1</sub></font>, <font color="Maroon">c<sub>2</sub></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">c<sub>3</sub></font> be    <a href="msualg_1.html#L3">MSAlgebra</a> of <font color="Maroon">c<sub>1</sub></font>;<br/><b>let </b><font color="Maroon">c<sub>4</sub></font> be    <a href="msualg_1.html#L3">MSAlgebra</a> of <font color="Maroon">c<sub>2</sub></font>;<br/>





<b>assume </b><a NAME="E1:106"/>
( <font color="Maroon">c<sub>3</sub></font> is <a href="circcomb.html#V6" target="_self">Boolean</a> &amp; <font color="Maroon">c<sub>4</sub></font> is <a href="circcomb.html#V6" target="_self">Boolean</a> )
 ;<br/>

<a NAME="E2:106"/><b>then </b>
( the <a href="msualg_1.html#U4">Sorts</a> of <font color="Maroon">c<sub>3</sub></font> <a href="pboole.html#R6">=</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>1</sub></font> <a href="pre_circ.html#K2">--&gt;</a> <a href="circcomb.html#K10" target="_self">BOOLEAN</a>  &amp; the <a href="msualg_1.html#U4">Sorts</a> of <font color="Maroon">c<sub>4</sub></font> <a href="pboole.html#R6">=</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>2</sub></font> <a href="pre_circ.html#K2">--&gt;</a> <a href="circcomb.html#K10" target="_self">BOOLEAN</a>  )
 
<b>by </b><i><a class="ref" href="circcomb.html#T65" target="_self">Th65</a></i>;<br/>
<b>hence </b><a NAME="E3:106"/>
the <a href="msualg_1.html#U4">Sorts</a> of <font color="Maroon">c<sub>3</sub></font> <a href="partfun1.html#R1">tolerates</a> the <a href="msualg_1.html#U4">Sorts</a> of <font color="Maroon">c<sub>4</sub></font>
 <b>by </b><i><a class="ref" href="circcomb.html#T4" target="_self">Th4</a></i>;<br/>


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