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Prime-fix

Fixer for dm::primep.

Function: prime-fix

(defun prime-fix (x)
       (declare (xargs :guard (dm::primep x)))
       (mbe :logic (if (dm::primep x) x 2)
            :exec x))

Theorem: primep-of-prime-fix

(defthm primep-of-prime-fix
        (b* ((fixed-x (prime-fix x)))
            (dm::primep fixed-x))
        :rule-classes :rewrite)

Theorem: prime-fix-when-primep

(defthm prime-fix-when-primep
        (implies (dm::primep x)
                 (equal (prime-fix x) x)))