• Top
  • Documentation
  • Books
  • Boolean-reasoning
  • Projects
  • Debugging
  • Std
  • Proof-automation
  • Macro-libraries
  • ACL2
  • Interfacing-tools
  • Hardware-verification
    • Gl
    • Esim
    • Vl2014
    • Sv
    • Vwsim
    • Fgl
    • Vl
      • Syntax
      • Loader
      • Warnings
      • Getting-started
      • Utilities
      • Printer
      • Kit
        • Vl-lint
          • Vl-lintconfig-p
          • Condcheck
          • Lint-warning-suppression
          • Lucid
          • Lvaluecheck
          • Vl-interfacelist-alwaysstyle
          • Truncation-warnings
          • Vl-modulelist-alwaysstyle
          • Skip-detection
          • Vl-lint-report
          • Vl-lintresult
          • Vl::vl-design-sv-use-set
          • Oddexpr-check
          • Leftright-check
          • Duplicate-detect
            • Vl-duplicate-detect-strip-gateinsts
            • Vl-duplicate-detect-strip-cassertions
            • Vl-modulelist-duplicate-detect
            • Vl-duplicate-detect-strip-properties
            • Vl-duplicate-detect-strip-assertions
            • Vl-duplicate-detect-strip-sequences
            • Vl-duplicate-detect-strip-modinsts
            • Vl-duplicate-detect-strip-initials
            • Vl-duplicate-detect-strip-assigns
            • Vl-duplicate-detect-strip-alwayses
            • Vl-duplicate-detect-strip-aliases
            • Vl-duplicate-detect-strip-finals
            • Vl-module-duplicate-detect
            • Vl-duplicate-detect-strip-gateinst
            • Vl-duplicate-warnings
            • Vl-collect-original-elements-matching-dupe
            • Vl-duplicate-warning
            • Vl-modinstlist-remove-interfaces
            • Vl-duplicate-detect-strip-modinst
            • Vl-design-duplicate-detect
          • Selfassigns
          • *vl-lint-help*
          • Arith-compare-check
          • Dupeinst-check
          • Qmarksize-check
          • Lint-whole-file-suppression
          • Run-vl-lint-main
          • Logicassign
          • Run-vl-lint
          • Vl-print-certain-warnings
          • Duperhs-check
          • Vl-lint-top
          • Sd-filter-problems
          • Vl-modulelist-add-svbad-warnings
          • Vl-module-add-svbad-warnings
          • Check-case
          • Vl-lint-extra-actions
          • Drop-lint-stubs
          • Vl-lint-print-warnings
          • Drop-user-submodules
          • Check-namespace
          • Vl-lintconfig-loadconfig
          • Vl-lint-design->svex-modalist-wrapper
          • Vl-delete-sd-problems-for-modnames-aux
          • Vl-collect-new-names-from-orignames
          • Vl-lint-print-all-warnings
          • Vl-design-remove-unnecessary-modules
          • Vl-delete-sd-problems-for-modnames
          • Vl-always-check-style
          • Vl-vardecllist-svbad-warnings
          • Vl-vardecl-svbad-warnings
          • Vl-reportcard-remove-suppressed
          • Vl-reportcard-keep-suppressed
          • Vl-alwayslist-check-style
          • Vl-remove-nameless-descriptions
          • Vl-lint-apply-quiet
          • Vl-warninglist-remove-suppressed
          • Vl-warninglist-keep-suppressed
          • Vl-print-eliminated-descs
          • Vl-module-alwaysstyle
          • Vl-jp-reportcard-aux
          • Vl-interface-alwaysstyle
          • Vl-design-alwaysstyle
          • Vl-jp-description-locations
          • Vl-jp-reportcard
          • Vl-pp-stringlist-lines
          • Vl-jp-design-locations
          • Vl-datatype-svbad-p
          • Unpacked-range-check
          • Sd-problem-major-p
          • Vl-alwaysstyle
        • Vl-server
        • Vl-gather
        • Vl-zip
        • Vl-main
        • Split-plusargs
        • Vl-shell
        • Vl-json
      • Mlib
      • Transforms
    • X86isa
    • Svl
    • Rtl
  • Software-verification
  • Math
  • Testing-utilities

• Duplicate-detect

Vl-duplicate-detect-strip-alwayses

(vl-duplicate-detect-strip-alwayses x) maps vl-always-strip across a list.

Signature

(vl-duplicate-detect-strip-alwayses x) → stripped-x

Arguments

x — Guard (vl-alwayslist-p x).

Returns

stripped-x — Type (vl-alwayslist-p stripped-x).

This is an ordinary defprojection.

Definitions and Theorems

Function: vl-duplicate-detect-strip-alwayses-exec

(defun vl-duplicate-detect-strip-alwayses-exec (x acc)
  (declare (xargs :guard (vl-alwayslist-p x)))
  (declare (xargs :guard t))
  (let ((__function__ 'vl-duplicate-detect-strip-alwayses-exec))
    (declare (ignorable __function__))
    (if (consp x)
        (vl-duplicate-detect-strip-alwayses-exec
             (cdr x)
             (cons (vl-always-strip (car x)) acc))
      acc)))

Function: vl-duplicate-detect-strip-alwayses-nrev

(defun vl-duplicate-detect-strip-alwayses-nrev (x nrev)
  (declare (xargs :stobjs (nrev)))
  (declare (xargs :guard (vl-alwayslist-p x)))
  (declare (xargs :guard t))
  (let ((__function__ 'vl-duplicate-detect-strip-alwayses-nrev))
    (declare (ignorable __function__))
    (if (atom x)
        (nrev-fix nrev)
      (let ((nrev (nrev-push (vl-always-strip (car x))
                             nrev)))
        (vl-duplicate-detect-strip-alwayses-nrev (cdr x)
                                                 nrev)))))

Function: vl-duplicate-detect-strip-alwayses

(defun vl-duplicate-detect-strip-alwayses (x)
 (declare (xargs :guard (vl-alwayslist-p x)))
 (declare (xargs :guard t))
 (let ((__function__ 'vl-duplicate-detect-strip-alwayses))
   (declare (ignorable __function__))
   (mbe :logic
        (if (consp x)
            (cons (vl-always-strip (car x))
                  (vl-duplicate-detect-strip-alwayses (cdr x)))
          nil)
        :exec
        (if (atom x)
            nil
          (with-local-nrev
               (vl-duplicate-detect-strip-alwayses-nrev x nrev))))))

Theorem: vl-alwayslist-p-of-vl-duplicate-detect-strip-alwayses

(defthm vl-alwayslist-p-of-vl-duplicate-detect-strip-alwayses
  (b* ((stripped-x (vl-duplicate-detect-strip-alwayses x)))
    (vl-alwayslist-p stripped-x))
  :rule-classes :rewrite)

Theorem: vl-duplicate-detect-strip-alwayses-of-update-nth

(defthm vl-duplicate-detect-strip-alwayses-of-update-nth
 (implies
  (<= (nfix acl2::n) (len acl2::x))
  (equal (vl-duplicate-detect-strip-alwayses
              (update-nth acl2::n acl2::v acl2::x))
         (update-nth acl2::n (vl-always-strip acl2::v)
                     (vl-duplicate-detect-strip-alwayses acl2::x))))
 :rule-classes ((:rewrite)))

Theorem: vl-duplicate-detect-strip-alwayses-of-revappend

(defthm vl-duplicate-detect-strip-alwayses-of-revappend
 (equal
    (vl-duplicate-detect-strip-alwayses (revappend acl2::x acl2::y))
    (revappend (vl-duplicate-detect-strip-alwayses acl2::x)
               (vl-duplicate-detect-strip-alwayses acl2::y)))
 :rule-classes ((:rewrite)))

Theorem: nthcdr-of-vl-duplicate-detect-strip-alwayses

(defthm nthcdr-of-vl-duplicate-detect-strip-alwayses
 (equal
      (nthcdr acl2::n
              (vl-duplicate-detect-strip-alwayses acl2::x))
      (vl-duplicate-detect-strip-alwayses (nthcdr acl2::n acl2::x)))
 :rule-classes ((:rewrite)))

Theorem: nth-of-vl-duplicate-detect-strip-alwayses

(defthm nth-of-vl-duplicate-detect-strip-alwayses
  (equal (nth acl2::n
              (vl-duplicate-detect-strip-alwayses acl2::x))
         (and (< (nfix acl2::n) (len acl2::x))
              (vl-always-strip (nth acl2::n acl2::x))))
  :rule-classes ((:rewrite)))

Theorem: vl-duplicate-detect-strip-alwayses-of-take

(defthm vl-duplicate-detect-strip-alwayses-of-take
 (implies
  (<= (nfix acl2::n) (len acl2::x))
  (equal (vl-duplicate-detect-strip-alwayses (take acl2::n acl2::x))
         (take acl2::n
               (vl-duplicate-detect-strip-alwayses acl2::x))))
 :rule-classes ((:rewrite)))

Theorem: set-equiv-congruence-over-vl-duplicate-detect-strip-alwayses

(defthm set-equiv-congruence-over-vl-duplicate-detect-strip-alwayses
  (implies (set-equiv acl2::x acl2::y)
           (set-equiv (vl-duplicate-detect-strip-alwayses acl2::x)
                      (vl-duplicate-detect-strip-alwayses acl2::y)))
  :rule-classes ((:congruence)))

Theorem: subsetp-of-vl-duplicate-detect-strip-alwayses-when-subsetp

(defthm subsetp-of-vl-duplicate-detect-strip-alwayses-when-subsetp
  (implies (subsetp acl2::x acl2::y)
           (subsetp (vl-duplicate-detect-strip-alwayses acl2::x)
                    (vl-duplicate-detect-strip-alwayses acl2::y)))
  :rule-classes ((:rewrite)))

Theorem: member-of-vl-always-strip-in-vl-duplicate-detect-strip-alwayses

(defthm
    member-of-vl-always-strip-in-vl-duplicate-detect-strip-alwayses
  (implies (member acl2::k acl2::x)
           (member (vl-always-strip acl2::k)
                   (vl-duplicate-detect-strip-alwayses acl2::x)))
  :rule-classes ((:rewrite)))

Theorem: vl-duplicate-detect-strip-alwayses-nrev-removal

(defthm vl-duplicate-detect-strip-alwayses-nrev-removal
  (equal (vl-duplicate-detect-strip-alwayses-nrev acl2::x nrev)
         (append nrev
                 (vl-duplicate-detect-strip-alwayses acl2::x)))
  :rule-classes ((:rewrite)))

Theorem: vl-duplicate-detect-strip-alwayses-exec-removal

(defthm vl-duplicate-detect-strip-alwayses-exec-removal
  (equal (vl-duplicate-detect-strip-alwayses-exec acl2::x acl2::acc)
         (revappend (vl-duplicate-detect-strip-alwayses acl2::x)
                    acl2::acc))
  :rule-classes ((:rewrite)))

Theorem: vl-duplicate-detect-strip-alwayses-of-rev

(defthm vl-duplicate-detect-strip-alwayses-of-rev
  (equal (vl-duplicate-detect-strip-alwayses (rev acl2::x))
         (rev (vl-duplicate-detect-strip-alwayses acl2::x)))
  :rule-classes ((:rewrite)))

Theorem: vl-duplicate-detect-strip-alwayses-of-list-fix

(defthm vl-duplicate-detect-strip-alwayses-of-list-fix
  (equal (vl-duplicate-detect-strip-alwayses (list-fix acl2::x))
         (vl-duplicate-detect-strip-alwayses acl2::x))
  :rule-classes ((:rewrite)))

Theorem: vl-duplicate-detect-strip-alwayses-of-append

(defthm vl-duplicate-detect-strip-alwayses-of-append
  (equal
       (vl-duplicate-detect-strip-alwayses (append acl2::a acl2::b))
       (append (vl-duplicate-detect-strip-alwayses acl2::a)
               (vl-duplicate-detect-strip-alwayses acl2::b)))
  :rule-classes ((:rewrite)))

Theorem: cdr-of-vl-duplicate-detect-strip-alwayses

(defthm cdr-of-vl-duplicate-detect-strip-alwayses
  (equal (cdr (vl-duplicate-detect-strip-alwayses acl2::x))
         (vl-duplicate-detect-strip-alwayses (cdr acl2::x)))
  :rule-classes ((:rewrite)))

Theorem: car-of-vl-duplicate-detect-strip-alwayses

(defthm car-of-vl-duplicate-detect-strip-alwayses
  (equal (car (vl-duplicate-detect-strip-alwayses acl2::x))
         (and (consp acl2::x)
              (vl-always-strip (car acl2::x))))
  :rule-classes ((:rewrite)))

Theorem: vl-duplicate-detect-strip-alwayses-under-iff

(defthm vl-duplicate-detect-strip-alwayses-under-iff
  (iff (vl-duplicate-detect-strip-alwayses acl2::x)
       (consp acl2::x))
  :rule-classes ((:rewrite)))

Theorem: consp-of-vl-duplicate-detect-strip-alwayses

(defthm consp-of-vl-duplicate-detect-strip-alwayses
  (equal (consp (vl-duplicate-detect-strip-alwayses acl2::x))
         (consp acl2::x))
  :rule-classes ((:rewrite)))

Theorem: len-of-vl-duplicate-detect-strip-alwayses

(defthm len-of-vl-duplicate-detect-strip-alwayses
  (equal (len (vl-duplicate-detect-strip-alwayses acl2::x))
         (len acl2::x))
  :rule-classes ((:rewrite)))

Theorem: true-listp-of-vl-duplicate-detect-strip-alwayses

(defthm true-listp-of-vl-duplicate-detect-strip-alwayses
  (true-listp (vl-duplicate-detect-strip-alwayses acl2::x))
  :rule-classes :type-prescription)

Theorem: vl-duplicate-detect-strip-alwayses-when-not-consp

(defthm vl-duplicate-detect-strip-alwayses-when-not-consp
  (implies (not (consp acl2::x))
           (equal (vl-duplicate-detect-strip-alwayses acl2::x)
                  nil))
  :rule-classes ((:rewrite)))

Theorem: vl-duplicate-detect-strip-alwayses-of-cons

(defthm vl-duplicate-detect-strip-alwayses-of-cons
  (equal (vl-duplicate-detect-strip-alwayses (cons acl2::a acl2::b))
         (cons (vl-always-strip acl2::a)
               (vl-duplicate-detect-strip-alwayses acl2::b)))
  :rule-classes ((:rewrite)))