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• Slong-integer

Slong-integer-fix

Fixer for slong-integer.

Signature

(slong-integer-fix x) → fixed-x

Arguments

x — Guard (slong-integerp x).

Returns

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

Definitions and Theorems

Function: slong-integer-fix

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

Theorem: slong-integerp-of-slong-integer-fix

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

Theorem: slong-integer-fix-when-slong-integerp

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