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• Ushort-integer

Ushort-integer-fix

Fixer for ushort-integer.

Signature

(ushort-integer-fix x) → fixed-x

Arguments

x — Guard (ushort-integerp x).

Returns

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

Definitions and Theorems

Function: ushort-integer-fix

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

Theorem: ushort-integerp-of-ushort-integer-fix

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

Theorem: ushort-integer-fix-when-ushort-integerp

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