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• Sint-integer

Sint-integer-fix

Fixer for sint-integer.

Signature

(sint-integer-fix x) → fixed-x

Arguments

x — Guard (sint-integerp x).

Returns

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

Definitions and Theorems

Function: sint-integer-fix

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

Theorem: sint-integerp-of-sint-integer-fix

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

Theorem: sint-integer-fix-when-sint-integerp

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