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• Vl-iframe

Vl-iframe-fix

Fixing function for vl-iframe structures.

Signature

(vl-iframe-fix x) → new-x

Arguments

x — Guard (vl-iframe-p x).

Returns

new-x — Type (vl-iframe-p new-x).

Definitions and Theorems

Function: vl-iframe-fix$inline

(defun vl-iframe-fix$inline (x)
 (declare (xargs :guard (vl-iframe-p x)))
 (let ((__function__ 'vl-iframe-fix))
  (declare (ignorable __function__))
  (mbe
   :logic
   (b*
    ((initially-activep
          (acl2::bool-fix (std::prod-car (std::prod-car x))))
     (some-thing-satisfiedp
          (acl2::bool-fix (std::prod-cdr (std::prod-car x))))
     (already-saw-elsep
          (acl2::bool-fix (std::prod-car (std::prod-cdr x))))
     (mi-controller
          (maybe-string-fix
               (std::prod-car (std::prod-cdr (std::prod-cdr x)))))
     (mi-filename
          (maybe-string-fix
               (std::prod-cdr (std::prod-cdr (std::prod-cdr x))))))
    (std::prod-cons
       (std::prod-cons initially-activep some-thing-satisfiedp)
       (std::prod-cons already-saw-elsep
                       (std::prod-cons mi-controller mi-filename))))
   :exec x)))

Theorem: vl-iframe-p-of-vl-iframe-fix

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

Theorem: vl-iframe-fix-when-vl-iframe-p

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

Function: vl-iframe-equiv$inline

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

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

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

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

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

Theorem: vl-iframe-fix-under-vl-iframe-equiv

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

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

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

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

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

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

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

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

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