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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> ;<br/><b>let </b><font color="Maroon">A</font> be  <a href="msualg_1.html#V5">non-empty</a> <a href="msafree2.html#V4">locally-finite</a>  <a href="msualg_1.html#L3">MSAlgebra</a> of <font color="Maroon">S</font>;<br/><b>let </b><font color="Maroon">V</font> be    <a href="msaterm.html#M4">Variables</a> of <font color="Maroon">A</font>;<br/><b>let </b><font color="Maroon">X</font> be    <a href="msaterm.html#M3">SetWithCompoundTerm</a> of <font color="Maroon">S</font>,<font color="Maroon">V</font>;<br/><b>let </b><font color="Maroon">G</font> be  non <a href="struct_0.html#V3">empty</a> non <a href="msualg_1.html#V2">void</a> <a href="msafree2.html#V2">Circuit-like</a>  <a href="msualg_1.html#L1">ManySortedSign</a> ;<br/><b>let </b><font color="Maroon">C</font> be  <a href="msualg_1.html#V5">non-empty</a> <a href="circuit1.html#NM1">Circuit</a> of <font color="Maroon">G</font>;<br/>











<b>assume </b><a NAME="E1:91"/>
<font color="Maroon">X</font>,<font color="Maroon">A</font> <a href="circtrm1.html#R8" target="_self">specifies</a> <font color="Maroon">C</font>
 ;<br/>

<a NAME="E2:91"/><b>then </b>
<font color="Maroon">C</font> <a href="circtrm1.html#R7" target="_self">calculates</a> <font color="Maroon">X</font>,<font color="Maroon">A</font>
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E3:91"/>
for <font color="Olive">f</font> being   <a href="circtrm1.html#M2" target="_self">SortMap</a> of <font color="Maroon">X</font>,<font color="Maroon">A</font>,<font color="Maroon">C</font><br/> for <font color="Olive">s</font> being  <a href="circuit1.html#NM3">State</a> of <font color="Maroon">C</font><br/> for <font color="Olive">t</font> being  <a href="msaterm.html#NM1">Term</a> of <font color="Maroon">S</font>,<font color="Maroon">V</font>  st <font color="Olive">t</font> <a href="hidden.html#R2">in</a>  <a href="trees_9.html#K9">Subtrees</a> <font color="Maroon">X</font> holds <br/>(  <a href="facirc_1.html#K9">Following</a> <font color="Olive">s</font>,<span class="p1">(<span class="default">1 <a href="nat_1.html#K1">+</a> <span class="p2">(<span class="default"><a href="trees_1.html#K6">height</a> <span class="p3">(<span class="default"><a href="relat_1.html#K1">dom</a> <font color="Olive">t</font></span>)</span></span>)</span></span>)</span> <a href="facirc_1.html#R1">is_stable_at</a> <font color="Olive">f</font> <a href="funct_1.html#K1">.</a> <font color="Olive">t</font> &amp; ( for <font color="Olive">s'</font> being  <a href="circuit1.html#NM3">State</a> of <span class="p1">(<span class="default"><font color="Maroon">X</font> <a href="circtrm1.html#K6" target="_self">-Circuit</a> <font color="Maroon">A</font></span>)</span>  st <font color="Olive">s'</font> <a href="hidden.html#R1">=</a> <font color="Olive">s</font> <a href="funct_1.html#NK3" target="_self">*</a> <font color="Olive">f</font> holds <br/>for <font color="Olive">h</font> being   <a href="circtrm1.html#M1" target="_self">CompatibleValuation</a> of <font color="Olive">s'</font> holds  <span class="p1">(<span class="default"><a href="facirc_1.html#K9">Following</a> <font color="Olive">s</font>,<span class="p2">(<span class="default">1 <a href="nat_1.html#K1">+</a> <span class="p3">(<span class="default"><a href="trees_1.html#K6">height</a> <span class="p4">(<span class="default"><a href="relat_1.html#K1">dom</a> <font color="Olive">t</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><font color="Olive">f</font> <a href="funct_1.html#K1">.</a> <font color="Olive">t</font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Olive">t</font> <a href="circtrm1.html#K7" target="_self">@</a> <font color="Olive">h</font>,<font color="Maroon">A</font> ) )
 <b>by </b><i/>;<br/>


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