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Modname

Modname-fix

Signature
(modname-fix x) → x-fix
Arguments: x — Guard (modname-p x).
Returns: x-fix — Type (modname-p x-fix).

Definitions and Theorems

Function: modname-fix

(defun modname-fix (x)
  (declare (xargs :guard (modname-p x)))
  (let ((__function__ 'modname-fix))
    (declare (ignorable __function__))
    (mbe :logic (if (modname-p x) x "default-modname")
         :exec x)))

Theorem: modname-p-of-modname-fix

(defthm modname-p-of-modname-fix
  (b* ((x-fix (modname-fix x)))
    (modname-p x-fix))
  :rule-classes :rewrite)

Theorem: modname-fix-when-modname-p

(defthm modname-fix-when-modname-p
  (implies (modname-p x)
           (equal (modname-fix x) x)))