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• Unparameterization

Vl-unparam-actualkeys

(vl-unparam-actualkeys x inst-ss mod-ss) maps vl-unparam-actualkey across a list.

Signature

(vl-unparam-actualkeys x inst-ss mod-ss) → actualkeys

Arguments

x — Guard (vl-paramdecllist-p x).

inst-ss — Guard (vl-scopestack-p inst-ss).

mod-ss — Guard (vl-scopestack-p mod-ss).

This is an ordinary defprojection.

Definitions and Theorems

Function: vl-unparam-actualkeys-exec

(defun vl-unparam-actualkeys-exec (x inst-ss mod-ss acc)
  (declare (xargs :guard (and (vl-paramdecllist-p x)
                              (vl-scopestack-p inst-ss)
                              (vl-scopestack-p mod-ss))))
  (declare (xargs :guard t))
  (let ((__function__ 'vl-unparam-actualkeys-exec))
    (declare (ignorable __function__))
    (if (consp x)
        (vl-unparam-actualkeys-exec
             (cdr x)
             inst-ss mod-ss
             (cons (vl-unparam-actualkey (car x)
                                         inst-ss mod-ss)
                   acc))
      acc)))

Function: vl-unparam-actualkeys-nrev

(defun vl-unparam-actualkeys-nrev (x inst-ss mod-ss nrev)
  (declare (xargs :stobjs (nrev)))
  (declare (xargs :guard (and (vl-paramdecllist-p x)
                              (vl-scopestack-p inst-ss)
                              (vl-scopestack-p mod-ss))))
  (declare (xargs :guard t))
  (let ((__function__ 'vl-unparam-actualkeys-nrev))
    (declare (ignorable __function__))
    (if (atom x)
        (nrev-fix nrev)
      (let ((nrev (nrev-push (vl-unparam-actualkey (car x)
                                                   inst-ss mod-ss)
                             nrev)))
        (vl-unparam-actualkeys-nrev (cdr x)
                                    inst-ss mod-ss nrev)))))

Function: vl-unparam-actualkeys

(defun vl-unparam-actualkeys (x inst-ss mod-ss)
 (declare (xargs :guard (and (vl-paramdecllist-p x)
                             (vl-scopestack-p inst-ss)
                             (vl-scopestack-p mod-ss))))
 (declare (xargs :guard t))
 (let ((__function__ 'vl-unparam-actualkeys))
  (declare (ignorable __function__))
  (mbe
      :logic
      (if (consp x)
          (cons (vl-unparam-actualkey (car x)
                                      inst-ss mod-ss)
                (vl-unparam-actualkeys (cdr x)
                                       inst-ss mod-ss))
        nil)
      :exec
      (if (atom x)
          nil
        (with-local-nrev
             (vl-unparam-actualkeys-nrev x inst-ss mod-ss nrev))))))

Theorem: vl-unparam-actualkeys-of-vl-paramdecllist-fix-x

(defthm vl-unparam-actualkeys-of-vl-paramdecllist-fix-x
  (equal (vl-unparam-actualkeys (vl-paramdecllist-fix x)
                                inst-ss mod-ss)
         (vl-unparam-actualkeys x inst-ss mod-ss)))

Theorem: vl-unparam-actualkeys-vl-paramdecllist-equiv-congruence-on-x

(defthm vl-unparam-actualkeys-vl-paramdecllist-equiv-congruence-on-x
  (implies (vl-paramdecllist-equiv x x-equiv)
           (equal (vl-unparam-actualkeys x inst-ss mod-ss)
                  (vl-unparam-actualkeys x-equiv inst-ss mod-ss)))
  :rule-classes :congruence)

Theorem: vl-unparam-actualkeys-of-vl-scopestack-fix-inst-ss

(defthm vl-unparam-actualkeys-of-vl-scopestack-fix-inst-ss
  (equal (vl-unparam-actualkeys x (vl-scopestack-fix inst-ss)
                                mod-ss)
         (vl-unparam-actualkeys x inst-ss mod-ss)))

Theorem: vl-unparam-actualkeys-vl-scopestack-equiv-congruence-on-inst-ss

(defthm
    vl-unparam-actualkeys-vl-scopestack-equiv-congruence-on-inst-ss
  (implies (vl-scopestack-equiv inst-ss inst-ss-equiv)
           (equal (vl-unparam-actualkeys x inst-ss mod-ss)
                  (vl-unparam-actualkeys x inst-ss-equiv mod-ss)))
  :rule-classes :congruence)

Theorem: vl-unparam-actualkeys-of-vl-scopestack-fix-mod-ss

(defthm vl-unparam-actualkeys-of-vl-scopestack-fix-mod-ss
 (equal (vl-unparam-actualkeys x inst-ss (vl-scopestack-fix mod-ss))
        (vl-unparam-actualkeys x inst-ss mod-ss)))

Theorem: vl-unparam-actualkeys-vl-scopestack-equiv-congruence-on-mod-ss

(defthm
     vl-unparam-actualkeys-vl-scopestack-equiv-congruence-on-mod-ss
  (implies (vl-scopestack-equiv mod-ss mod-ss-equiv)
           (equal (vl-unparam-actualkeys x inst-ss mod-ss)
                  (vl-unparam-actualkeys x inst-ss mod-ss-equiv)))
  :rule-classes :congruence)

Theorem: vl-unparam-actualkeys-of-take

(defthm vl-unparam-actualkeys-of-take
 (implies
      (<= (nfix acl2::n) (len acl2::x))
      (equal (vl-unparam-actualkeys (take acl2::n acl2::x)
                                    inst-ss mod-ss)
             (take acl2::n
                   (vl-unparam-actualkeys acl2::x inst-ss mod-ss))))
 :rule-classes ((:rewrite)))

Theorem: set-equiv-congruence-over-vl-unparam-actualkeys

(defthm set-equiv-congruence-over-vl-unparam-actualkeys
  (implies
       (set-equiv acl2::x acl2::y)
       (set-equiv (vl-unparam-actualkeys acl2::x inst-ss mod-ss)
                  (vl-unparam-actualkeys acl2::y inst-ss mod-ss)))
  :rule-classes ((:congruence)))

Theorem: subsetp-of-vl-unparam-actualkeys-when-subsetp

(defthm subsetp-of-vl-unparam-actualkeys-when-subsetp
  (implies (subsetp acl2::x acl2::y)
           (subsetp (vl-unparam-actualkeys acl2::x inst-ss mod-ss)
                    (vl-unparam-actualkeys acl2::y inst-ss mod-ss)))
  :rule-classes ((:rewrite)))

Theorem: member-of-vl-unparam-actualkey-in-vl-unparam-actualkeys

(defthm member-of-vl-unparam-actualkey-in-vl-unparam-actualkeys
  (implies (member acl2::k acl2::x)
           (member (vl-unparam-actualkey acl2::k inst-ss mod-ss)
                   (vl-unparam-actualkeys acl2::x inst-ss mod-ss)))
  :rule-classes ((:rewrite)))

Theorem: vl-unparam-actualkeys-nrev-removal

(defthm vl-unparam-actualkeys-nrev-removal
  (equal (vl-unparam-actualkeys-nrev acl2::x inst-ss mod-ss nrev)
         (append nrev
                 (vl-unparam-actualkeys acl2::x inst-ss mod-ss)))
  :rule-classes ((:rewrite)))

Theorem: vl-unparam-actualkeys-exec-removal

(defthm vl-unparam-actualkeys-exec-removal
  (equal
       (vl-unparam-actualkeys-exec acl2::x inst-ss mod-ss acl2::acc)
       (revappend (vl-unparam-actualkeys acl2::x inst-ss mod-ss)
                  acl2::acc))
  :rule-classes ((:rewrite)))

Theorem: vl-unparam-actualkeys-of-rev

(defthm vl-unparam-actualkeys-of-rev
  (equal (vl-unparam-actualkeys (rev acl2::x)
                                inst-ss mod-ss)
         (rev (vl-unparam-actualkeys acl2::x inst-ss mod-ss)))
  :rule-classes ((:rewrite)))

Theorem: vl-unparam-actualkeys-of-list-fix

(defthm vl-unparam-actualkeys-of-list-fix
  (equal (vl-unparam-actualkeys (list-fix acl2::x)
                                inst-ss mod-ss)
         (vl-unparam-actualkeys acl2::x inst-ss mod-ss))
  :rule-classes ((:rewrite)))

Theorem: vl-unparam-actualkeys-of-append

(defthm vl-unparam-actualkeys-of-append
  (equal (vl-unparam-actualkeys (append acl2::a acl2::b)
                                inst-ss mod-ss)
         (append (vl-unparam-actualkeys acl2::a inst-ss mod-ss)
                 (vl-unparam-actualkeys acl2::b inst-ss mod-ss)))
  :rule-classes ((:rewrite)))

Theorem: cdr-of-vl-unparam-actualkeys

(defthm cdr-of-vl-unparam-actualkeys
  (equal (cdr (vl-unparam-actualkeys acl2::x inst-ss mod-ss))
         (vl-unparam-actualkeys (cdr acl2::x)
                                inst-ss mod-ss))
  :rule-classes ((:rewrite)))

Theorem: car-of-vl-unparam-actualkeys

(defthm car-of-vl-unparam-actualkeys
  (equal (car (vl-unparam-actualkeys acl2::x inst-ss mod-ss))
         (and (consp acl2::x)
              (vl-unparam-actualkey (car acl2::x)
                                    inst-ss mod-ss)))
  :rule-classes ((:rewrite)))

Theorem: vl-unparam-actualkeys-under-iff

(defthm vl-unparam-actualkeys-under-iff
  (iff (vl-unparam-actualkeys acl2::x inst-ss mod-ss)
       (consp acl2::x))
  :rule-classes ((:rewrite)))

Theorem: consp-of-vl-unparam-actualkeys

(defthm consp-of-vl-unparam-actualkeys
  (equal (consp (vl-unparam-actualkeys acl2::x inst-ss mod-ss))
         (consp acl2::x))
  :rule-classes ((:rewrite)))

Theorem: len-of-vl-unparam-actualkeys

(defthm len-of-vl-unparam-actualkeys
  (equal (len (vl-unparam-actualkeys acl2::x inst-ss mod-ss))
         (len acl2::x))
  :rule-classes ((:rewrite)))

Theorem: true-listp-of-vl-unparam-actualkeys

(defthm true-listp-of-vl-unparam-actualkeys
  (true-listp (vl-unparam-actualkeys acl2::x inst-ss mod-ss))
  :rule-classes :type-prescription)

Theorem: vl-unparam-actualkeys-when-not-consp

(defthm vl-unparam-actualkeys-when-not-consp
  (implies (not (consp acl2::x))
           (equal (vl-unparam-actualkeys acl2::x inst-ss mod-ss)
                  nil))
  :rule-classes ((:rewrite)))

Theorem: vl-unparam-actualkeys-of-cons

(defthm vl-unparam-actualkeys-of-cons
  (equal (vl-unparam-actualkeys (cons acl2::a acl2::b)
                                inst-ss mod-ss)
         (cons (vl-unparam-actualkey acl2::a inst-ss mod-ss)
               (vl-unparam-actualkeys acl2::b inst-ss mod-ss)))
  :rule-classes ((:rewrite)))