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<html>
<head><title>USING-COMPUTED-HINTS-1.html -- ACL2 Version 3.1</title></head>
<body text=#000000 bgcolor="#FFFFFF">
<h2>USING-COMPUTED-HINTS-1</h2>Driving Home the Basics
<pre>Major Section: <a href="MISCELLANEOUS.html">MISCELLANEOUS</a>
</pre><p>
<p>
The common hint
<pre>
("Subgoal 3.2.1''" :use lemma42)
</pre>
has the same effect as the computed hint
<pre>
(if (equal id '((0) (3 2 1) . 2))
'(:use lemma42)
nil)
</pre>
which, of course, is equivalent to
<pre>
(and (equal id '((0) (3 2 1) . 2))
'(:use lemma42))
</pre>
which is also equivalent to the computed hint
<pre>
my-special-hint
</pre>
provided the following <code>defun</code> has first been executed
<pre>
(defun my-special-hint (id clause world)
(declare (xargs :mode :program)
(ignore clause world))
(if (equal id '((0) (3 2 1) . 2))
'(:use lemma42)
nil))
</pre>
It is permitted for the <code>defun</code> to be in :LOGIC mode
(see <a href="DEFUN-MODE.html">defun-mode</a>) also.<p>
Just to be concrete, the following three events all behave the same
way (if <code>my-special-hint</code> is as above):<p>
<pre>
(defthm main (big-thm a b c)
:hints (("Subgoal 3.2.1''" :use lemma42)))
(defthm main (big-thm a b c)
:hints ((and (equal id '((0) (3 2 1) . 2)) '(:use lemma42))))<p>
(defthm main (big-thm a b c)
:hints (my-special-hint))
</pre>
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</body>
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