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• Addr-scope

Addr-scope-fix

Signature

(addr-scope-fix x) → xx

Arguments

x — Guard (addr-scope-p x).

Returns

xx — Type (addr-scope-p xx).

Definitions and Theorems

Function: addr-scope-fix

(defun addr-scope-fix (x)
  (declare (xargs :guard (addr-scope-p x)))
  (let ((__function__ 'addr-scope-fix))
    (declare (ignorable __function__))
    (mbe :logic (if (eq x :root) x (nfix x))
         :exec x)))

Theorem: addr-scope-p-of-addr-scope-fix

(defthm addr-scope-p-of-addr-scope-fix
  (b* ((xx (addr-scope-fix x)))
    (addr-scope-p xx))
  :rule-classes :rewrite)

Theorem: addr-scope-fix-when-addr-scope-p

(defthm addr-scope-fix-when-addr-scope-p
  (implies (addr-scope-p x)
           (equal (addr-scope-fix x) x)))