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• Ulong-integer

Ulong-integer-fix

Fixer for ulong-integer.

Signature

(ulong-integer-fix x) → fixed-x

Arguments

x — Guard (ulong-integerp x).

Returns

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

Definitions and Theorems

Function: ulong-integer-fix

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

Theorem: ulong-integerp-of-ulong-integer-fix

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

Theorem: ulong-integer-fix-when-ulong-integerp

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