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• Ubyte5

Ubyte5-fix

Fixer for ubyte5.

Signature

(ubyte5-fix x) → fixed-x

Arguments

x — Guard (ubyte5p x).

Returns

fixed-x — Type (ubyte5p fixed-x).

Definitions and Theorems

Function: ubyte5-fix

(defun ubyte5-fix (x)
  (declare (xargs :guard (ubyte5p x)))
  (mbe :logic (if (ubyte5p x) x 0)
       :exec x))

Theorem: ubyte5p-of-ubyte5-fix

(defthm ubyte5p-of-ubyte5-fix
  (b* ((fixed-x (ubyte5-fix x)))
    (ubyte5p fixed-x))
  :rule-classes :rewrite)

Theorem: ubyte5-fix-when-ubyte5p

(defthm ubyte5-fix-when-ubyte5p
  (implies (ubyte5p x)
           (equal (ubyte5-fix x) x)))