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• Sllong-integer

Sllong-integer-fix

Fixer for sllong-integer.

Signature

(sllong-integer-fix x) → fixed-x

Arguments

x — Guard (sllong-integerp x).

Returns

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

Definitions and Theorems

Function: sllong-integer-fix

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

Theorem: sllong-integerp-of-sllong-integer-fix

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

Theorem: sllong-integer-fix-when-sllong-integerp

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