File: The_Final_Simplification_in_the_Base_Case__lparen_Step_0_rparen_.html

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<html>
<head><title>The_Final_Simplification_in_the_Base_Case__lparen_Step_0_rparen_.html  --  ACL2 Version 3.1</title></head>
<body text=#000000 bgcolor="#FFFFFF">
<h2>the Final Simplification in the Base Case (Step 0)</h2>
<p>

<pre>
Subgoal *1/1'
(IMPLIES (NOT (CONSP A))
         (EQUAL (APP <a href="The_Final_Simplification_in_the_Base_Case__lparen_Step_1_rparen_.html">(</a>APP A B) C)
                (APP A (APP B C)))).
</pre>
<p>

<img src=green-line.gif><p>

Click on the link above to replace <code>(APP A B)</code> by its definition.
Note that the hypothesis <code>(NOT (CONSP A))</code> allows us to simplify
the <code>IF</code> in <code>APP</code> to its <b>false branch</B> this time.
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