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Ubyte1-fix

Fixer for ubyte1.

Function: ubyte1-fix

(defun ubyte1-fix (x)
  (declare (xargs :guard (ubyte1p x)))
  (mbe :logic (if (ubyte1p x) x 0)
       :exec x))

Theorem: ubyte1p-of-ubyte1-fix

(defthm ubyte1p-of-ubyte1-fix
  (b* ((fixed-x (ubyte1-fix x)))
    (ubyte1p fixed-x))
  :rule-classes :rewrite)

Theorem: ubyte1-fix-when-ubyte1p

(defthm ubyte1-fix-when-ubyte1p
  (implies (ubyte1p x)
           (equal (ubyte1-fix x) x)))