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• Vl-clkdecl

Vl-clkdecl-fix

Fixing function for vl-clkdecl structures.

Signature

(vl-clkdecl-fix x) → new-x

Arguments

x — Guard (vl-clkdecl-p x).

Returns

new-x — Type (vl-clkdecl-p new-x).

Definitions and Theorems

Function: vl-clkdecl-fix$inline

(defun vl-clkdecl-fix$inline (x)
 (declare (xargs :guard (vl-clkdecl-p x)))
 (let ((__function__ 'vl-clkdecl-fix))
  (declare (ignorable __function__))
  (mbe
   :logic
   (b*
    ((defaultp
      (acl2::bool-fix
           (std::prod-car (std::prod-car (std::prod-car (cdr x))))))
     (name
      (maybe-string-fix
           (std::prod-cdr (std::prod-car (std::prod-car (cdr x))))))
     (event
      (vl-evatomlist-fix
           (std::prod-car (std::prod-cdr (std::prod-car (cdr x))))))
     (iskew
      (vl-maybe-clkskew-fix
       (std::prod-car
          (std::prod-cdr (std::prod-cdr (std::prod-car (cdr x)))))))
     (oskew
      (vl-maybe-clkskew-fix
       (std::prod-cdr
          (std::prod-cdr (std::prod-cdr (std::prod-car (cdr x)))))))
     (clkassigns
      (vl-clkassignlist-fix
           (std::prod-car (std::prod-car (std::prod-cdr (cdr x))))))
     (properties
      (vl-propertylist-fix
           (std::prod-cdr (std::prod-car (std::prod-cdr (cdr x))))))
     (sequences
      (vl-sequencelist-fix
           (std::prod-car (std::prod-cdr (std::prod-cdr (cdr x))))))
     (loc
      (vl-location-fix
       (std::prod-car
          (std::prod-cdr (std::prod-cdr (std::prod-cdr (cdr x)))))))
     (atts
      (vl-atts-fix
       (std::prod-cdr
         (std::prod-cdr (std::prod-cdr (std::prod-cdr (cdr x))))))))
    (cons
     :vl-clkdecl
     (std::prod-cons
       (std::prod-cons
            (std::prod-cons defaultp name)
            (std::prod-cons event (std::prod-cons iskew oskew)))
       (std::prod-cons
            (std::prod-cons clkassigns properties)
            (std::prod-cons sequences (std::prod-cons loc atts))))))
   :exec x)))

Theorem: vl-clkdecl-p-of-vl-clkdecl-fix

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

Theorem: vl-clkdecl-fix-when-vl-clkdecl-p

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

Function: vl-clkdecl-equiv$inline

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

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

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

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

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

Theorem: vl-clkdecl-fix-under-vl-clkdecl-equiv

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

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

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

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

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

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

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

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

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