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• Ubyte20

Ubyte20-fix

Fixer for ubyte20.

Signature

(ubyte20-fix x) → fixed-x

Arguments

x — Guard (ubyte20p x).

Returns

fixed-x — Type (ubyte20p fixed-x).

Definitions and Theorems

Function: ubyte20-fix

(defun ubyte20-fix (x)
  (declare (xargs :guard (ubyte20p x)))
  (mbe :logic (if (ubyte20p x) x 0)
       :exec x))

Theorem: ubyte20p-of-ubyte20-fix

(defthm ubyte20p-of-ubyte20-fix
  (b* ((fixed-x (ubyte20-fix x)))
    (ubyte20p fixed-x))
  :rule-classes :rewrite)

Theorem: ubyte20-fix-when-ubyte20p

(defthm ubyte20-fix-when-ubyte20p
  (implies (ubyte20p x)
           (equal (ubyte20-fix x) x)))