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• Sshort-integer

Sshort-integer-fix

Fixer for sshort-integer.

Signature

(sshort-integer-fix x) → fixed-x

Arguments

x — Guard (sshort-integerp x).

Returns

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

Definitions and Theorems

Function: sshort-integer-fix

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

Theorem: sshort-integerp-of-sshort-integer-fix

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

Theorem: sshort-integer-fix-when-sshort-integerp

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