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• Vl-ctxelement

Vl-ctxelement-fix

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

Signature

(vl-ctxelement-fix x) → fty::newx

Arguments

x — Guard (vl-ctxelement-p x).

Returns

fty::newx — Type (vl-ctxelement-p fty::newx).

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

Definitions and Theorems

Function: vl-ctxelement-fix$inline

(defun vl-ctxelement-fix$inline (x)
  (declare (xargs :guard (vl-ctxelement-p x)))
  (let ((__function__ 'vl-ctxelement-fix))
    (declare (ignorable __function__))
    (mbe :logic
         (common-lisp::case (tag x)
           ((:vl-portdecl) (vl-portdecl-fix x))
           ((:vl-assign) (vl-assign-fix x))
           ((:vl-alias) (vl-alias-fix x))
           ((:vl-vardecl) (vl-vardecl-fix x))
           ((:vl-paramdecl) (vl-paramdecl-fix x))
           ((:vl-fundecl) (vl-fundecl-fix x))
           ((:vl-taskdecl) (vl-taskdecl-fix x))
           ((:vl-modinst) (vl-modinst-fix x))
           ((:vl-gateinst) (vl-gateinst-fix x))
           ((:vl-always) (vl-always-fix x))
           ((:vl-initial) (vl-initial-fix x))
           ((:vl-final) (vl-final-fix x))
           ((:vl-typedef) (vl-typedef-fix x))
           ((:vl-import) (vl-import-fix x))
           ((:vl-fwdtypedef) (vl-fwdtypedef-fix x))
           ((:vl-modport) (vl-modport-fix x))
           ((:vl-interfaceport)
            (vl-interfaceport-fix x))
           ((:vl-regularport)
            (vl-regularport-fix x))
           ((:vl-genbase :vl-genbegin
                         :vl-genif :vl-gencase
                         :vl-genloop :vl-genarray)
            (vl-genelement-fix x))
           ((:vl-assertion) (vl-assertion-fix x))
           ((:vl-cassertion) (vl-cassertion-fix x))
           ((:vl-property) (vl-property-fix x))
           ((:vl-sequence) (vl-sequence-fix x))
           ((:vl-dpiimport) (vl-dpiimport-fix x))
           ((:vl-dpiexport) (vl-dpiexport-fix x))
           ((:vl-bind) (vl-bind-fix x))
           ((:vl-class) (vl-class-fix x))
           ((:vl-covergroup) (vl-covergroup-fix x))
           (otherwise (vl-elabtask-fix x)))
         :exec x)))

Theorem: vl-ctxelement-p-of-vl-ctxelement-fix

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

Theorem: vl-ctxelement-fix-when-vl-ctxelement-p

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

Function: vl-ctxelement-equiv$inline

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

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

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

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

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

Theorem: vl-ctxelement-fix-under-vl-ctxelement-equiv

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

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

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

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

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

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

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

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

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

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

(defthm tag-of-vl-ctxelement-fix-forward
 (or (equal (tag (vl-ctxelement-fix x))
            :vl-portdecl)
     (equal (tag (vl-ctxelement-fix x))
            :vl-assign)
     (equal (tag (vl-ctxelement-fix x))
            :vl-alias)
     (equal (tag (vl-ctxelement-fix x))
            :vl-vardecl)
     (equal (tag (vl-ctxelement-fix x))
            :vl-paramdecl)
     (equal (tag (vl-ctxelement-fix x))
            :vl-fundecl)
     (equal (tag (vl-ctxelement-fix x))
            :vl-taskdecl)
     (equal (tag (vl-ctxelement-fix x))
            :vl-modinst)
     (equal (tag (vl-ctxelement-fix x))
            :vl-gateinst)
     (equal (tag (vl-ctxelement-fix x))
            :vl-always)
     (equal (tag (vl-ctxelement-fix x))
            :vl-initial)
     (equal (tag (vl-ctxelement-fix x))
            :vl-final)
     (equal (tag (vl-ctxelement-fix x))
            :vl-typedef)
     (equal (tag (vl-ctxelement-fix x))
            :vl-import)
     (equal (tag (vl-ctxelement-fix x))
            :vl-fwdtypedef)
     (equal (tag (vl-ctxelement-fix x))
            :vl-modport)
     (equal (tag (vl-ctxelement-fix x))
            :vl-interfaceport)
     (equal (tag (vl-ctxelement-fix x))
            :vl-regularport)
     (equal (tag (vl-ctxelement-fix x))
            :vl-genbase)
     (equal (tag (vl-ctxelement-fix x))
            :vl-genbegin)
     (equal (tag (vl-ctxelement-fix x))
            :vl-genif)
     (equal (tag (vl-ctxelement-fix x))
            :vl-gencase)
     (equal (tag (vl-ctxelement-fix x))
            :vl-genloop)
     (equal (tag (vl-ctxelement-fix x))
            :vl-genarray)
     (equal (tag (vl-ctxelement-fix x))
            :vl-assertion)
     (equal (tag (vl-ctxelement-fix x))
            :vl-cassertion)
     (equal (tag (vl-ctxelement-fix x))
            :vl-property)
     (equal (tag (vl-ctxelement-fix x))
            :vl-sequence)
     (equal (tag (vl-ctxelement-fix x))
            :vl-dpiimport)
     (equal (tag (vl-ctxelement-fix x))
            :vl-dpiexport)
     (equal (tag (vl-ctxelement-fix x))
            :vl-bind)
     (equal (tag (vl-ctxelement-fix x))
            :vl-class)
     (equal (tag (vl-ctxelement-fix x))
            :vl-covergroup)
     (equal (tag (vl-ctxelement-fix x))
            :vl-elabtask))
 :rule-classes
 ((:forward-chaining :trigger-terms ((tag (vl-ctxelement-fix x))))))