File: NONNEGATIVE-INTEGER-QUOTIENT.html

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<head><title>NONNEGATIVE-INTEGER-QUOTIENT.html  --  ACL2 Version 3.1</title></head>
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<h2>NONNEGATIVE-INTEGER-QUOTIENT</h2>natural number division function
<pre>Major Section:  <a href="PROGRAMMING.html">PROGRAMMING</a>
</pre><p>


<pre>
Example Forms:
(nonnegative-integer-quotient 14 3) ; equals 4
(nonnegative-integer-quotient 15 3) ; equals 5
</pre>

<code>(nonnegative-integer-quotient i j)</code> returns the integer quotient
of the integers <code>i</code> and (non-zero) <code>j</code>, i.e., the largest <code>k</code>
such that <code>(* j k)</code> is less than or equal to <code>i</code>.  Also
see <a href="FLOOR.html">floor</a>, see <a href="CEILING.html">ceiling</a> and see <a href="TRUNCATE.html">truncate</a>, which are
derived from this function and apply to rational numbers.
<p>
The <a href="GUARD.html">guard</a> of <code>(nonnegative-integer-quotient i j)</code> requires that
<code>i</code> is a nonnegative integer and <code>j</code> is a positive integer.
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