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• Schar-integer

Schar-integer-fix

Fixer for schar-integer.

Signature

(schar-integer-fix x) → fixed-x

Arguments

x — Guard (schar-integerp x).

Returns

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

Definitions and Theorems

Function: schar-integer-fix

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

Theorem: schar-integerp-of-schar-integer-fix

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

Theorem: schar-integer-fix-when-schar-integerp

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