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Vl-scopeitem

Vl-scopeitem-fix

(vl-scopeitem-fix x) is a fty fixing function.

Signature
(vl-scopeitem-fix x) → fty::newx
Arguments: x — Guard (vl-scopeitem-p x).
Returns: fty::newx — Type (vl-scopeitem-p fty::newx).

Note that in the execution this is just an inline identity function.

Definitions and Theorems

Function: vl-scopeitem-fix$inline

(defun vl-scopeitem-fix$inline (x)
  (declare (xargs :guard (vl-scopeitem-p x)))
  (let ((__function__ 'vl-scopeitem-fix))
    (declare (ignorable __function__))
    (mbe :logic
         (common-lisp::case (tag x)
           ((:vl-modinst) (vl-modinst-fix x))
           ((:vl-gateinst) (vl-gateinst-fix x))
           ((:vl-genvar) (vl-genvar-fix x))
           ((:vl-genbase :vl-genbegin
                         :vl-genif :vl-gencase
                         :vl-genloop :vl-genarray)
            (vl-genelement-fix x))
           ((:vl-interfaceport)
            (vl-interfaceport-fix x))
           ((:vl-modport) (vl-modport-fix x))
           ((:vl-paramdecl) (vl-paramdecl-fix x))
           ((:vl-vardecl) (vl-vardecl-fix x))
           ((:vl-fundecl) (vl-fundecl-fix x))
           ((:vl-taskdecl) (vl-taskdecl-fix x))
           ((:vl-typedef) (vl-typedef-fix x))
           (otherwise (vl-dpiimport-fix x)))
         :exec x)))

Theorem: vl-scopeitem-p-of-vl-scopeitem-fix

(defthm vl-scopeitem-p-of-vl-scopeitem-fix
  (b* ((fty::newx (vl-scopeitem-fix$inline x)))
    (vl-scopeitem-p fty::newx))
  :rule-classes :rewrite)

Theorem: vl-scopeitem-fix-when-vl-scopeitem-p

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

Function: vl-scopeitem-equiv$inline

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

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

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

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

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

Theorem: vl-scopeitem-fix-under-vl-scopeitem-equiv

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

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

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

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

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

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

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

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

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

Theorem: tag-of-vl-scopeitem-fix-forward

(defthm tag-of-vl-scopeitem-fix-forward
  (or (equal (tag (vl-scopeitem-fix x))
             :vl-modinst)
      (equal (tag (vl-scopeitem-fix x))
             :vl-gateinst)
      (equal (tag (vl-scopeitem-fix x))
             :vl-genvar)
      (equal (tag (vl-scopeitem-fix x))
             :vl-genbase)
      (equal (tag (vl-scopeitem-fix x))
             :vl-genbegin)
      (equal (tag (vl-scopeitem-fix x))
             :vl-genif)
      (equal (tag (vl-scopeitem-fix x))
             :vl-gencase)
      (equal (tag (vl-scopeitem-fix x))
             :vl-genloop)
      (equal (tag (vl-scopeitem-fix x))
             :vl-genarray)
      (equal (tag (vl-scopeitem-fix x))
             :vl-interfaceport)
      (equal (tag (vl-scopeitem-fix x))
             :vl-modport)
      (equal (tag (vl-scopeitem-fix x))
             :vl-paramdecl)
      (equal (tag (vl-scopeitem-fix x))
             :vl-vardecl)
      (equal (tag (vl-scopeitem-fix x))
             :vl-fundecl)
      (equal (tag (vl-scopeitem-fix x))
             :vl-taskdecl)
      (equal (tag (vl-scopeitem-fix x))
             :vl-typedef)
      (equal (tag (vl-scopeitem-fix x))
             :vl-dpiimport))
  :rule-classes
  ((:forward-chaining :trigger-terms ((tag (vl-scopeitem-fix x))))))