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<b>let </b><font color="Maroon">G1</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">G2</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">f</font> be   <a href="funct_1.html#NM1">Function</a>;<br/><b>let </b><font color="Maroon">g</font> be   <a href="funct_1.html#NM1">Function</a>;<br/><b>let </b><font color="Maroon">C1</font> be  <a href="msualg_1.html#V5">non-empty</a> <a href="circuit1.html#NM1">Circuit</a> of <font color="Maroon">G1</font>;<br/><b>let </b><font color="Maroon">C2</font> be  <a href="msualg_1.html#V5">non-empty</a> <a href="circuit1.html#NM1">Circuit</a> of <font color="Maroon">G2</font>;<br/>











<b>assume </b><a NAME="E1:82"/>
<font color="Maroon">C1</font>,<font color="Maroon">C2</font> <a href="circtrm1.html#R5" target="_self">are_similar_wrt</a> <font color="Maroon">f</font>,<font color="Maroon">g</font>
 ;<br/>

<a NAME="E2:82"/><b>then </b>
( <font color="Maroon">f</font>,<font color="Maroon">g</font> <a href="circtrm1.html#R4" target="_self">form_embedding_of</a> <font color="Maroon">C1</font>,<font color="Maroon">C2</font> &amp; <font color="Maroon">f</font> <a href="circtrm1.html#R3" target="_self">preserves_inputs_of</a> <font color="Maroon">G1</font>,<font color="Maroon">G2</font> )
 
<b>by </b><i>, </i>;<br/>
<b>hence </b><a NAME="E3:82"/>
for <font color="Olive">s1</font> being  <a href="circuit1.html#NM3">State</a> of <font color="Maroon">C1</font><br/> for <font color="Olive">s2</font> being  <a href="circuit1.html#NM3">State</a> of <font color="Maroon">C2</font>  st <font color="Olive">s1</font> <a href="hidden.html#R1">=</a> <font color="Olive">s2</font> <a href="funct_1.html#NK3" target="_self">*</a> <font color="Maroon">f</font> holds <br/>for <font color="Olive">n</font> being   <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a>  holds   <a href="facirc_1.html#K9">Following</a> <font color="Olive">s1</font>,<font color="Olive">n</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="facirc_1.html#K9">Following</a> <font color="Olive">s2</font>,<font color="Olive">n</font></span>)</span> <a href="funct_1.html#NK3" target="_self">*</a> <font color="Maroon">f</font>
 <b>by </b><i/>;<br/>


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