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• Ubyte11

Ubyte11-fix

Fixer for ubyte11.

Signature

(ubyte11-fix x) → fixed-x

Arguments

x — Guard (ubyte11p x).

Returns

fixed-x — Type (ubyte11p fixed-x).

Definitions and Theorems

Function: ubyte11-fix

(defun ubyte11-fix (x)
  (declare (xargs :guard (ubyte11p x)))
  (mbe :logic (if (ubyte11p x) x 0)
       :exec x))

Theorem: ubyte11p-of-ubyte11-fix

(defthm ubyte11p-of-ubyte11-fix
  (b* ((fixed-x (ubyte11-fix x)))
    (ubyte11p fixed-x))
  :rule-classes :rewrite)

Theorem: ubyte11-fix-when-ubyte11p

(defthm ubyte11-fix-when-ubyte11p
  (implies (ubyte11p x)
           (equal (ubyte11-fix x) x)))