• Top
  • Documentation
  • Books
  • Boolean-reasoning
  • Projects
  • Debugging
  • Std
  • Proof-automation
  • Macro-libraries
  • ACL2
  • Interfacing-tools
  • Hardware-verification
    • Gl
    • Esim
    • Vl2014
      • Warnings
      • Primitives
      • Use-set
      • Syntax
      • Getting-started
      • Utilities
      • Loader
      • Transforms
        • Expression-sizing
        • Occform
        • Oprewrite
        • Expand-functions
        • Delayredux
        • Unparameterization
          • Scopesubst
            • Vl-paramvaluelist-scopesubst
            • Vl-packeddimensionlist-scopesubst
            • Vl-namedparamvaluelist-scopesubst
            • Vl-paramdecllist-scopesubst
            • Vl-portdecllist-scopesubst
            • Vl-plainarglist-scopesubst
            • Vl-namedarglist-scopesubst
            • Vl-gateinstlist-scopesubst
            • Vl-enumitemlist-scopesubst
            • Vl-vardecllist-scopesubst
            • Vl-modinstlist-scopesubst
            • Vl-initiallist-scopesubst
            • Vl-fundecllist-scopesubst
            • Vl-modulelist-scopesubst
            • Vl-evatomlist-scopesubst
            • Vl-assignlist-scopesubst
            • Vl-alwayslist-scopesubst
            • Vl-rangelist-scopesubst
            • Vl-aliaslist-scopesubst
            • Vl-portlist-scopesubst
            • Vl-expr-scopesubst
            • Vl-stmt-scopesubst
            • Vl-maybe-delayoreventcontrol-scopesubst
            • Vl-delayoreventcontrol-scopesubst
            • Vl-repeateventcontrol-scopesubst
            • Vl-maybe-packeddimension-scopesubst
            • Vl-packeddimension-scopesubst
            • Vl-namedparamvalue-scopesubst
            • Vl-module-scopesubst
            • Vl-modelement-scopesubst
            • Vl-paramtype-scopesubst
            • Vl-maybe-paramvalue-scopesubst
            • Vl-maybe-gatedelay-scopesubst
            • Vl-fundecl-scopesubst
            • Vl-regularport-scopesubst
            • Vl-paramvalue-scopesubst
            • Vl-paramdecl-scopesubst
            • Vl-paramargs-scopesubst
            • Vl-modinst-scopesubst
            • Vl-maybe-datatype-scopesubst
            • Vl-interfaceport-scopesubst
            • Vl-gateinst-scopesubst
            • Vl-gatedelay-scopesubst
            • Vl-eventcontrol-scopesubst
            • Vl-enumbasetype-scopesubst
            • Vl-delaycontrol-scopesubst
            • Vl-assign-scopesubst
            • Vl-arguments-scopesubst
            • Vl-vardecl-scopesubst
            • Vl-portdecl-scopesubst
            • Vl-plainarg-scopesubst
            • Vl-namedarg-scopesubst
            • Vl-maybe-range-scopesubst
            • Vl-initial-scopesubst
            • Vl-enumitem-scopesubst
            • Vl-range-scopesubst
            • Vl-port-scopesubst
            • Vl-maybe-expr-scopesubst
            • Vl-evatom-scopesubst
            • Vl-always-scopesubst
            • Vl-alias-scopesubst
          • Vl-scopeinfo-resolve-params
          • Vl-make-paramdecloverrides
          • Vl-unparam-inst
          • Vl-scope-finalize-params
          • Vl-override-parameter-value
          • Vl-unparam-instlist
          • Vl-create-unparameterized-module
          • Vl-module-default-signature
          • Vl-modulelist-default-signatures
          • Vl-gencase-some-match
          • Vl-gencase-match
          • Vl-make-paramdecloverrides-named
          • Vl-unparam-newname
          • Vl-paramdecl-set-default
          • Vl-unparam-signature
          • Vl-genblob-collect-modinst-paramsigs
          • Vl-design-unparameterize
          • Vl-paramdecllist-remove-defaults
          • Vl-unparam-newname-exprstring
          • Vl-paramdecl-remove-default
          • Vl-unparam-sigalist
          • Vl-unparam-signaturelist
        • Caseelim
        • Split
        • Selresolve
        • Weirdint-elim
        • Vl-delta
        • Replicate-insts
        • Rangeresolve
        • Propagate
        • Clean-selects
        • Clean-params
        • Blankargs
        • Inline-mods
        • Expr-simp
        • Trunc
        • Always-top
        • Gatesplit
        • Gate-elim
        • Expression-optimization
        • Elim-supplies
        • Wildelim
        • Drop-blankports
        • Clean-warnings
        • Addinstnames
        • Custom-transform-hooks
        • Annotate
        • Latchcode
        • Elim-unused-vars
        • Problem-modules
      • Lint
      • Mlib
      • Server
      • Kit
      • Printer
      • Esim-vl
      • Well-formedness
    • Sv
    • Vwsim
    • Fgl
    • Vl
    • X86isa
    • Svl
    • Rtl
  • Software-verification
  • Math
  • Testing-utilities

• Scopesubst

Vl-assignlist-scopesubst

(vl-assignlist-scopesubst x ss) maps vl-assign-scopesubst across a list.

Signature

(vl-assignlist-scopesubst x ss) → new-x

Arguments

x — Guard (vl-assignlist-p x).

ss — Guard (vl-scopestack-p ss).

Returns

new-x — Type (vl-assignlist-p new-x).

This is an ordinary defprojection.

Definitions and Theorems

Function: vl-assignlist-scopesubst-exec

(defun vl-assignlist-scopesubst-exec (x ss acc)
  (declare (xargs :guard (and (vl-assignlist-p x)
                              (vl-scopestack-p ss))))
  (declare (xargs :guard t))
  (let ((__function__ 'vl-assignlist-scopesubst-exec))
    (declare (ignorable __function__))
    (if (consp x)
        (vl-assignlist-scopesubst-exec
             (cdr x)
             ss
             (cons (vl-assign-scopesubst (car x) ss)
                   acc))
      acc)))

Function: vl-assignlist-scopesubst-nrev

(defun vl-assignlist-scopesubst-nrev (x ss nrev)
  (declare (xargs :stobjs (nrev)))
  (declare (xargs :guard (and (vl-assignlist-p x)
                              (vl-scopestack-p ss))))
  (declare (xargs :guard t))
  (let ((__function__ 'vl-assignlist-scopesubst-nrev))
    (declare (ignorable __function__))
    (if (atom x)
        (nrev-fix nrev)
      (let ((nrev (nrev-push (vl-assign-scopesubst (car x) ss)
                             nrev)))
        (vl-assignlist-scopesubst-nrev (cdr x)
                                       ss nrev)))))

Function: vl-assignlist-scopesubst

(defun vl-assignlist-scopesubst (x ss)
 (declare (xargs :guard (and (vl-assignlist-p x)
                             (vl-scopestack-p ss))))
 (declare (xargs :guard t))
 (let ((__function__ 'vl-assignlist-scopesubst))
  (declare (ignorable __function__))
  (mbe
   :logic
   (if (consp x)
       (cons (vl-assign-scopesubst (car x) ss)
             (vl-assignlist-scopesubst (cdr x) ss))
     nil)
   :exec
   (if (atom x)
       nil
     (with-local-nrev (vl-assignlist-scopesubst-nrev x ss nrev))))))

Theorem: vl-assignlist-p-of-vl-assignlist-scopesubst

(defthm vl-assignlist-p-of-vl-assignlist-scopesubst
  (b* ((new-x (vl-assignlist-scopesubst x ss)))
    (vl-assignlist-p new-x))
  :rule-classes :rewrite)

Theorem: vl-assignlist-scopesubst-of-vl-assignlist-fix-x

(defthm vl-assignlist-scopesubst-of-vl-assignlist-fix-x
  (equal (vl-assignlist-scopesubst (vl-assignlist-fix x)
                                   ss)
         (vl-assignlist-scopesubst x ss)))

Theorem: vl-assignlist-scopesubst-vl-assignlist-equiv-congruence-on-x

(defthm vl-assignlist-scopesubst-vl-assignlist-equiv-congruence-on-x
  (implies (vl-assignlist-equiv x x-equiv)
           (equal (vl-assignlist-scopesubst x ss)
                  (vl-assignlist-scopesubst x-equiv ss)))
  :rule-classes :congruence)

Theorem: vl-assignlist-scopesubst-of-vl-scopestack-fix-ss

(defthm vl-assignlist-scopesubst-of-vl-scopestack-fix-ss
  (equal (vl-assignlist-scopesubst x (vl-scopestack-fix ss))
         (vl-assignlist-scopesubst x ss)))

Theorem: vl-assignlist-scopesubst-vl-scopestack-equiv-congruence-on-ss

(defthm
      vl-assignlist-scopesubst-vl-scopestack-equiv-congruence-on-ss
  (implies (vl-scopestack-equiv ss ss-equiv)
           (equal (vl-assignlist-scopesubst x ss)
                  (vl-assignlist-scopesubst x ss-equiv)))
  :rule-classes :congruence)

Theorem: vl-assignlist-scopesubst-of-update-nth

(defthm vl-assignlist-scopesubst-of-update-nth
 (implies
  (<= (nfix acl2::n) (len acl2::x))
  (equal
      (vl-assignlist-scopesubst (update-nth acl2::n acl2::v acl2::x)
                                ss)
      (update-nth acl2::n
                  (vl-assign-scopesubst acl2::v ss)
                  (vl-assignlist-scopesubst acl2::x ss))))
 :rule-classes ((:rewrite)))

Theorem: vl-assignlist-scopesubst-of-revappend

(defthm vl-assignlist-scopesubst-of-revappend
  (equal (vl-assignlist-scopesubst (revappend acl2::x acl2::y)
                                   ss)
         (revappend (vl-assignlist-scopesubst acl2::x ss)
                    (vl-assignlist-scopesubst acl2::y ss)))
  :rule-classes ((:rewrite)))

Theorem: nthcdr-of-vl-assignlist-scopesubst

(defthm nthcdr-of-vl-assignlist-scopesubst
  (equal (nthcdr acl2::n
                 (vl-assignlist-scopesubst acl2::x ss))
         (vl-assignlist-scopesubst (nthcdr acl2::n acl2::x)
                                   ss))
  :rule-classes ((:rewrite)))

Theorem: nth-of-vl-assignlist-scopesubst

(defthm nth-of-vl-assignlist-scopesubst
  (equal (nth acl2::n
              (vl-assignlist-scopesubst acl2::x ss))
         (and (< (nfix acl2::n) (len acl2::x))
              (vl-assign-scopesubst (nth acl2::n acl2::x)
                                    ss)))
  :rule-classes ((:rewrite)))

Theorem: vl-assignlist-scopesubst-nrev-removal

(defthm vl-assignlist-scopesubst-nrev-removal
  (equal (vl-assignlist-scopesubst-nrev acl2::x ss nrev)
         (append nrev
                 (vl-assignlist-scopesubst acl2::x ss)))
  :rule-classes ((:rewrite)))

Theorem: vl-assignlist-scopesubst-exec-removal

(defthm vl-assignlist-scopesubst-exec-removal
  (equal (vl-assignlist-scopesubst-exec acl2::x ss acl2::acc)
         (revappend (vl-assignlist-scopesubst acl2::x ss)
                    acl2::acc))
  :rule-classes ((:rewrite)))

Theorem: vl-assignlist-scopesubst-of-take

(defthm vl-assignlist-scopesubst-of-take
  (implies (<= (nfix acl2::n) (len acl2::x))
           (equal (vl-assignlist-scopesubst (take acl2::n acl2::x)
                                            ss)
                  (take acl2::n
                        (vl-assignlist-scopesubst acl2::x ss))))
  :rule-classes ((:rewrite)))

Theorem: set-equiv-congruence-over-vl-assignlist-scopesubst

(defthm set-equiv-congruence-over-vl-assignlist-scopesubst
  (implies (set-equiv acl2::x acl2::y)
           (set-equiv (vl-assignlist-scopesubst acl2::x ss)
                      (vl-assignlist-scopesubst acl2::y ss)))
  :rule-classes ((:congruence)))

Theorem: subsetp-of-vl-assignlist-scopesubst-when-subsetp

(defthm subsetp-of-vl-assignlist-scopesubst-when-subsetp
  (implies (subsetp acl2::x acl2::y)
           (subsetp (vl-assignlist-scopesubst acl2::x ss)
                    (vl-assignlist-scopesubst acl2::y ss)))
  :rule-classes ((:rewrite)))

Theorem: member-of-vl-assign-scopesubst-in-vl-assignlist-scopesubst

(defthm member-of-vl-assign-scopesubst-in-vl-assignlist-scopesubst
  (implies (member acl2::k acl2::x)
           (member (vl-assign-scopesubst acl2::k ss)
                   (vl-assignlist-scopesubst acl2::x ss)))
  :rule-classes ((:rewrite)))

Theorem: vl-assignlist-scopesubst-of-rev

(defthm vl-assignlist-scopesubst-of-rev
  (equal (vl-assignlist-scopesubst (rev acl2::x)
                                   ss)
         (rev (vl-assignlist-scopesubst acl2::x ss)))
  :rule-classes ((:rewrite)))

Theorem: vl-assignlist-scopesubst-of-list-fix

(defthm vl-assignlist-scopesubst-of-list-fix
  (equal (vl-assignlist-scopesubst (list-fix acl2::x)
                                   ss)
         (vl-assignlist-scopesubst acl2::x ss))
  :rule-classes ((:rewrite)))

Theorem: vl-assignlist-scopesubst-of-append

(defthm vl-assignlist-scopesubst-of-append
  (equal (vl-assignlist-scopesubst (append acl2::a acl2::b)
                                   ss)
         (append (vl-assignlist-scopesubst acl2::a ss)
                 (vl-assignlist-scopesubst acl2::b ss)))
  :rule-classes ((:rewrite)))

Theorem: cdr-of-vl-assignlist-scopesubst

(defthm cdr-of-vl-assignlist-scopesubst
  (equal (cdr (vl-assignlist-scopesubst acl2::x ss))
         (vl-assignlist-scopesubst (cdr acl2::x)
                                   ss))
  :rule-classes ((:rewrite)))

Theorem: car-of-vl-assignlist-scopesubst

(defthm car-of-vl-assignlist-scopesubst
  (equal (car (vl-assignlist-scopesubst acl2::x ss))
         (and (consp acl2::x)
              (vl-assign-scopesubst (car acl2::x)
                                    ss)))
  :rule-classes ((:rewrite)))

Theorem: vl-assignlist-scopesubst-under-iff

(defthm vl-assignlist-scopesubst-under-iff
  (iff (vl-assignlist-scopesubst acl2::x ss)
       (consp acl2::x))
  :rule-classes ((:rewrite)))

Theorem: consp-of-vl-assignlist-scopesubst

(defthm consp-of-vl-assignlist-scopesubst
  (equal (consp (vl-assignlist-scopesubst acl2::x ss))
         (consp acl2::x))
  :rule-classes ((:rewrite)))

Theorem: len-of-vl-assignlist-scopesubst

(defthm len-of-vl-assignlist-scopesubst
  (equal (len (vl-assignlist-scopesubst acl2::x ss))
         (len acl2::x))
  :rule-classes ((:rewrite)))

Theorem: true-listp-of-vl-assignlist-scopesubst

(defthm true-listp-of-vl-assignlist-scopesubst
  (true-listp (vl-assignlist-scopesubst acl2::x ss))
  :rule-classes :type-prescription)

Theorem: vl-assignlist-scopesubst-when-not-consp

(defthm vl-assignlist-scopesubst-when-not-consp
  (implies (not (consp acl2::x))
           (equal (vl-assignlist-scopesubst acl2::x ss)
                  nil))
  :rule-classes ((:rewrite)))

Theorem: vl-assignlist-scopesubst-of-cons

(defthm vl-assignlist-scopesubst-of-cons
  (equal (vl-assignlist-scopesubst (cons acl2::a acl2::b)
                                   ss)
         (cons (vl-assign-scopesubst acl2::a ss)
               (vl-assignlist-scopesubst acl2::b ss)))
  :rule-classes ((:rewrite)))