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Xregfile64

Xregfile64-fix

Fixer for xregfile64.

Signature
(xregfile64-fix x) → *
Arguments: x — Guard (xregfile64p x).

Definitions and Theorems

Function: xregfile64-fix

(defun xregfile64-fix (x)
  (declare (xargs :guard (xregfile64p x)))
  (mbe :logic
       (if (xregfile64p x)
           x
         (acl2::ubyte64-list-fix (take 31 x)))
       :exec x))

Theorem: xregfile64p-of-xregfile64-fix

(defthm xregfile64p-of-xregfile64-fix
  (xregfile64p (xregfile64-fix x)))

Theorem: xregfile64-fix-when-xregfile64p

(defthm xregfile64-fix-when-xregfile64p
  (implies (xregfile64p x)
           (equal (xregfile64-fix x) x)))