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• Ullong-integer

Ullong-integer-fix

Fixer for ullong-integer.

Signature

(ullong-integer-fix x) → fixed-x

Arguments

x — Guard (ullong-integerp x).

Returns

fixed-x — Type (ullong-integerp fixed-x).

Definitions and Theorems

Function: ullong-integer-fix

(defun ullong-integer-fix (x)
  (declare (xargs :guard (ullong-integerp x)))
  (mbe :logic (if (ullong-integerp x) x 0)
       :exec x))

Theorem: ullong-integerp-of-ullong-integer-fix

(defthm ullong-integerp-of-ullong-integer-fix
  (b* ((fixed-x (ullong-integer-fix x)))
    (ullong-integerp fixed-x))
  :rule-classes :rewrite)

Theorem: ullong-integer-fix-when-ullong-integerp

(defthm ullong-integer-fix-when-ullong-integerp
  (implies (ullong-integerp x)
           (equal (ullong-integer-fix x) x)))