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Jcunit

Jcunit-fix

Fixing function for jcunit structures.

Signature
(jcunit-fix x) → new-x
Arguments: x — Guard (jcunitp x).
Returns: new-x — Type (jcunitp new-x).

Definitions and Theorems

Function: jcunit-fix$inline

(defun jcunit-fix$inline (x)
 (declare (xargs :guard (jcunitp x)))
 (let ((__function__ 'jcunit-fix))
  (declare (ignorable __function__))
  (mbe
    :logic
    (b* ((package? (acl2::maybe-string-fix (cdr (std::da-nth 0 x))))
         (imports (jimport-list-fix (cdr (std::da-nth 1 x))))
         (types (jclass-list-fix (cdr (std::da-nth 2 x)))))
      (list (cons 'package? package?)
            (cons 'imports imports)
            (cons 'types types)))
    :exec x)))

Theorem: jcunitp-of-jcunit-fix

(defthm jcunitp-of-jcunit-fix
  (b* ((new-x (jcunit-fix$inline x)))
    (jcunitp new-x))
  :rule-classes :rewrite)

Theorem: jcunit-fix-when-jcunitp

(defthm jcunit-fix-when-jcunitp
  (implies (jcunitp x)
           (equal (jcunit-fix x) x)))

Function: jcunit-equiv$inline

(defun jcunit-equiv$inline (acl2::x acl2::y)
  (declare (xargs :guard (and (jcunitp acl2::x)
                              (jcunitp acl2::y))))
  (equal (jcunit-fix acl2::x)
         (jcunit-fix acl2::y)))

Theorem: jcunit-equiv-is-an-equivalence

(defthm jcunit-equiv-is-an-equivalence
  (and (booleanp (jcunit-equiv x y))
       (jcunit-equiv x x)
       (implies (jcunit-equiv x y)
                (jcunit-equiv y x))
       (implies (and (jcunit-equiv x y)
                     (jcunit-equiv y z))
                (jcunit-equiv x z)))
  :rule-classes (:equivalence))

Theorem: jcunit-equiv-implies-equal-jcunit-fix-1

(defthm jcunit-equiv-implies-equal-jcunit-fix-1
  (implies (jcunit-equiv acl2::x x-equiv)
           (equal (jcunit-fix acl2::x)
                  (jcunit-fix x-equiv)))
  :rule-classes (:congruence))

Theorem: jcunit-fix-under-jcunit-equiv

(defthm jcunit-fix-under-jcunit-equiv
  (jcunit-equiv (jcunit-fix acl2::x)
                acl2::x)
  :rule-classes (:rewrite :rewrite-quoted-constant))

Theorem: equal-of-jcunit-fix-1-forward-to-jcunit-equiv

(defthm equal-of-jcunit-fix-1-forward-to-jcunit-equiv
  (implies (equal (jcunit-fix acl2::x) acl2::y)
           (jcunit-equiv acl2::x acl2::y))
  :rule-classes :forward-chaining)

Theorem: equal-of-jcunit-fix-2-forward-to-jcunit-equiv

(defthm equal-of-jcunit-fix-2-forward-to-jcunit-equiv
  (implies (equal acl2::x (jcunit-fix acl2::y))
           (jcunit-equiv acl2::x acl2::y))
  :rule-classes :forward-chaining)

Theorem: jcunit-equiv-of-jcunit-fix-1-forward

(defthm jcunit-equiv-of-jcunit-fix-1-forward
  (implies (jcunit-equiv (jcunit-fix acl2::x)
                         acl2::y)
           (jcunit-equiv acl2::x acl2::y))
  :rule-classes :forward-chaining)

Theorem: jcunit-equiv-of-jcunit-fix-2-forward

(defthm jcunit-equiv-of-jcunit-fix-2-forward
  (implies (jcunit-equiv acl2::x (jcunit-fix acl2::y))
           (jcunit-equiv acl2::x acl2::y))
  :rule-classes :forward-chaining)