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Vl-lintresult

Vl-lintresult-fix

Fixing function for vl-lintresult structures.

Signature
(vl-lintresult-fix x) → new-x
Arguments: x — Guard (vl-lintresult-p x).
Returns: new-x — Type (vl-lintresult-p new-x).

Definitions and Theorems

Function: vl-lintresult-fix$inline

(defun vl-lintresult-fix$inline (x)
 (declare (xargs :guard (vl-lintresult-p x)))
 (let ((__function__ 'vl-lintresult-fix))
  (declare (ignorable __function__))
  (mbe
    :logic
    (b*
     ((design (vl-design-fix (cdr (std::da-nth 0 (cdr x)))))
      (design0 (vl-design-fix (cdr (std::da-nth 1 (cdr x)))))
      (design-orig (vl-design-fix (cdr (std::da-nth 2 (cdr x)))))
      (sv-modalist (sv::modalist-fix (cdr (std::da-nth 3 (cdr x)))))
      (reportcard (vl-reportcard-fix (cdr (std::da-nth 4 (cdr x)))))
      (sd-probs (sd-problemlist-fix (cdr (std::da-nth 5 (cdr x))))))
     (cons :vl-lintresult (list (cons 'design design)
                                (cons 'design0 design0)
                                (cons 'design-orig design-orig)
                                (cons 'sv-modalist sv-modalist)
                                (cons 'reportcard reportcard)
                                (cons 'sd-probs sd-probs))))
    :exec x)))

Theorem: vl-lintresult-p-of-vl-lintresult-fix

(defthm vl-lintresult-p-of-vl-lintresult-fix
  (b* ((new-x (vl-lintresult-fix$inline x)))
    (vl-lintresult-p new-x))
  :rule-classes :rewrite)

Theorem: vl-lintresult-fix-when-vl-lintresult-p

(defthm vl-lintresult-fix-when-vl-lintresult-p
  (implies (vl-lintresult-p x)
           (equal (vl-lintresult-fix x) x)))

Function: vl-lintresult-equiv$inline

(defun vl-lintresult-equiv$inline (acl2::x acl2::y)
  (declare (xargs :guard (and (vl-lintresult-p acl2::x)
                              (vl-lintresult-p acl2::y))))
  (equal (vl-lintresult-fix acl2::x)
         (vl-lintresult-fix acl2::y)))

Theorem: vl-lintresult-equiv-is-an-equivalence

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

Theorem: vl-lintresult-equiv-implies-equal-vl-lintresult-fix-1

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

Theorem: vl-lintresult-fix-under-vl-lintresult-equiv

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

Theorem: equal-of-vl-lintresult-fix-1-forward-to-vl-lintresult-equiv

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

Theorem: equal-of-vl-lintresult-fix-2-forward-to-vl-lintresult-equiv

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

Theorem: vl-lintresult-equiv-of-vl-lintresult-fix-1-forward

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

Theorem: vl-lintresult-equiv-of-vl-lintresult-fix-2-forward

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