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• Wellformed

Wellformed-fix

Fixer for wellformed.

Signature

(wellformed-fix x) → fixed-x

Arguments

x — Guard (wellformedp x).

Returns

fixed-x — Type (wellformedp fixed-x).

Definitions and Theorems

Function: wellformed-fix

(defun wellformed-fix (x)
  (declare (xargs :guard (wellformedp x)))
  (mbe :logic (if (wellformedp x) x :wellformed)
       :exec x))

Theorem: wellformedp-of-wellformed-fix

(defthm wellformedp-of-wellformed-fix
  (b* ((fixed-x (wellformed-fix x)))
    (wellformedp fixed-x))
  :rule-classes :rewrite)

Theorem: wellformed-fix-when-wellformedp

(defthm wellformed-fix-when-wellformedp
  (implies (wellformedp x)
           (equal (wellformed-fix x) x)))