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<head><title>ACL2-PC_colon__colon_REDUCE-BY-INDUCTION.html -- ACL2 Version 3.1</title></head>
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<h3>ACL2-PC::REDUCE-BY-INDUCTION</h3>(macro)
<code> </code>call the ACL2 prover without induction, after going into
<code> </code>induction
<pre>Major Section: <a href="PROOF-CHECKER-COMMANDS.html">PROOF-CHECKER-COMMANDS</a>
</pre><p>
<pre>
Examples:
reduce-by-induction
-- attempt to prove the current goal after going into induction,
with no further inductions<p>
(reduce-by-induction ("Subgoal 2" :by foo) ("Subgoal 1" :use bar))
-- attempt to prove the current goal after going into induction,
with no further inductions, using the indicated hints
<p>
General Form:
(reduce-by-induction &rest hints)
</pre>
A subgoal will be created for each goal that would have been
pushed for proof by induction in an ordinary proof, except that the
proof begins with a top-level induction.<p>
Notice that unlike <code>prove</code>, the arguments to <code>reduce-by-induction</code> are
spread out, and are all hints. See also <code>prove</code>, <code>reduce</code>, and <code>bash</code>.<p>
<strong>Note</strong>: Induction and the various processes will be used to the
extent that they are ordered explicitly in the <code>:induct</code> and <code>:do-not</code>
hints.
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