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• Ubyte7

Ubyte7-fix

Fixer for ubyte7.

Signature

(ubyte7-fix x) → fixed-x

Arguments

x — Guard (ubyte7p x).

Returns

fixed-x — Type (ubyte7p fixed-x).

Definitions and Theorems

Function: ubyte7-fix

(defun ubyte7-fix (x)
  (declare (xargs :guard (ubyte7p x)))
  (mbe :logic (if (ubyte7p x) x 0)
       :exec x))

Theorem: ubyte7p-of-ubyte7-fix

(defthm ubyte7p-of-ubyte7-fix
  (b* ((fixed-x (ubyte7-fix x)))
    (ubyte7p fixed-x))
  :rule-classes :rewrite)

Theorem: ubyte7-fix-when-ubyte7p

(defthm ubyte7-fix-when-ubyte7p
  (implies (ubyte7p x)
           (equal (ubyte7-fix x) x)))