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• Vl-udp

Vl-udp-fix

Fixing function for vl-udp structures.

Signature

(vl-udp-fix x) → new-x

Arguments

x — Guard (vl-udp-p x).

Returns

new-x — Type (vl-udp-p new-x).

Definitions and Theorems

Function: vl-udp-fix$inline

(defun vl-udp-fix$inline (x)
 (declare (xargs :guard (vl-udp-p x)))
 (let ((__function__ 'vl-udp-fix))
  (declare (ignorable __function__))
  (mbe
   :logic
   (b*
    ((name
      (str-fix
           (std::prod-car (std::prod-car (std::prod-car (cdr x))))))
     (output
      (vl-portdecl-fix
           (std::prod-cdr (std::prod-car (std::prod-car (cdr x))))))
     (inputs
      (vl-portdecllist-fix
           (std::prod-car (std::prod-cdr (std::prod-car (cdr x))))))
     (sequentialp
      (acl2::bool-fix
       (std::prod-car
          (std::prod-cdr (std::prod-cdr (std::prod-car (cdr x)))))))
     (table
      (vl-udptable-fix
       (std::prod-cdr
          (std::prod-cdr (std::prod-cdr (std::prod-car (cdr x))))))
)
     (initval
      (vl-maybe-expr-fix
           (std::prod-car (std::prod-car (std::prod-cdr (cdr x))))))
     (warnings
      (vl-warninglist-fix
       (std::prod-car
          (std::prod-cdr (std::prod-car (std::prod-cdr (cdr x)))))))
     (minloc
      (vl-location-fix
       (std::prod-cdr
          (std::prod-cdr (std::prod-car (std::prod-cdr (cdr x)))))))
     (maxloc
      (vl-location-fix
           (std::prod-car (std::prod-cdr (std::prod-cdr (cdr x))))))
     (atts
      (vl-atts-fix
       (std::prod-car
          (std::prod-cdr (std::prod-cdr (std::prod-cdr (cdr x)))))))
     (comments
      (vl-commentmap-fix
       (std::prod-cdr
         (std::prod-cdr (std::prod-cdr (std::prod-cdr (cdr x))))))))
    (cons
      :vl-udp
      (std::prod-cons
           (std::prod-cons
                (std::prod-cons name output)
                (std::prod-cons inputs
                                (std::prod-cons sequentialp table)))
           (std::prod-cons
                (std::prod-cons initval
                                (std::prod-cons warnings minloc))
                (std::prod-cons maxloc
                                (std::prod-cons atts comments))))))
   :exec x)))

Theorem: vl-udp-p-of-vl-udp-fix

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

Theorem: vl-udp-fix-when-vl-udp-p

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

Function: vl-udp-equiv$inline

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

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

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

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

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

Theorem: vl-udp-fix-under-vl-udp-equiv

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

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

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

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

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

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

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

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

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