• Top
  • Documentation
  • Books
  • Recursion-and-induction
  • 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
      • Mlib
        • Scopestack
        • Hid-tools
        • Filtering-by-name
        • Vl-interface-mocktype
        • Stripping-functions
        • Genblob
        • Expr-tools
          • Vl-expr-typedecide
          • Vl-exprlist-resolved->vals
          • Vl-make-idexpr-list
          • Vl-idexprlist->names
          • Vl-expr-selfsize
          • Vl-expr-update-subexprs
          • Vl-exprlist-to-plainarglist
          • Vl-op-p
          • Vl-call-namedargs-update-subexprs
          • Vl-valuerangelist-update-subexprs
          • Vl-streamexprlist-update-subexprs
          • Vl-maybe-exprlist-update-subexprs
          • Vl-expr-values
          • Vl-evatomlist-update-subexprs
          • Vl-keyvallist-update-subexprs
          • Vl-assignpat-update-subexprs
          • Vl-valuerange-update-subexprs
          • Vl-streamexpr-update-subexprs
          • Vl-scopeexpr-update-subexprs
          • Vl-patternkey-update-subexprs
          • Vl-partselect-update-subexprs
          • Vl-hidexpr-update-subexprs
          • Vl-expr-ops
          • Vl-arrayrange-update-subexprs
          • Vl-slicesize-update-subexprs
          • Vl-plusminus-update-subexprs
          • Vl-expr-add-atts
          • Vl-make-integer
          • Vl-range-update-subexprs
          • Vl-idexpr
          • Vl-make-index
          • Vl-bitlist-from-nat
          • Vl-expr->subexprs
          • Vl-pps-expr
          • Vl-evatomlist->subexprs
          • Vl-call-namedargs->subexprs
          • Vl-valuerangelist->subexprs
          • Vl-streamexprlist->subexprs
          • Vl-maybe-exprlist->subexprs
          • Vl-hidexpr->subexprs
          • Vl-expr-resolved-p
          • Vl-valuerange->subexprs
          • Vl-streamexpr->subexprs
          • Vl-patternkey->subexprs
          • Vl-partselect->subexprs
          • Vl-keyvallist->subexprs
          • Vl-exprlist-has-ops
          • Vl-assignpat->subexprs
          • Vl-arrayrange->subexprs
          • Vl-slicesize->subexprs
          • Vl-scopeexpr->subexprs
          • Vl-plusminus->subexprs
          • Vl-expr-has-ops
          • Vl-resolved->val
          • Vl-range->subexprs
          • Vl-pps-origexpr
          • Vl-idscope
          • Vl-idexpr->name
          • Vl-idexpr-p
          • Vl-idexprlist-p
          • Vl-exprlist-resolved-p
          • Vl-idscope->name
          • Vl-idscope-p
          • Vl-zbitlist-p
          • Vl-zatom-p
          • Vl-op-fix
          • Vl-oplist
          • Vl-expr-varnames
          • Vl-one-bit-constants
        • Hierarchy
        • Extract-vl-types
        • Range-tools
        • Finding-by-name
        • Stmt-tools
        • Modnamespace
        • Flat-warnings
        • Reordering-by-name
        • Datatype-tools
        • Syscalls
        • Allexprs
        • Lvalues
        • Port-tools
      • Transforms
    • X86isa
    • Svl
    • Rtl
  • Software-verification
  • Testing-utilities
  • Math

• Expr-tools

Vl-exprlist-resolved->vals

(vl-exprlist-resolved->vals x) maps vl-resolved->val across a list.

Signature

(vl-exprlist-resolved->vals x) → vals

Arguments

x — Guard (vl-exprlist-p x).

Returns

vals — Type (integer-listp vals).

This is an ordinary defprojection.

Definitions and Theorems

Function: vl-exprlist-resolved->vals-exec

(defun vl-exprlist-resolved->vals-exec (x acc)
       (declare (xargs :guard (vl-exprlist-p x)))
       (declare (xargs :guard (vl-exprlist-resolved-p x)))
       (let ((__function__ 'vl-exprlist-resolved->vals-exec))
            (declare (ignorable __function__))
            (if (consp x)
                (vl-exprlist-resolved->vals-exec
                     (cdr x)
                     (cons (vl-resolved->val (car x)) acc))
                acc)))

Function: vl-exprlist-resolved->vals-nrev

(defun vl-exprlist-resolved->vals-nrev (x nrev)
       (declare (xargs :stobjs (nrev)))
       (declare (xargs :guard (vl-exprlist-p x)))
       (declare (xargs :guard (vl-exprlist-resolved-p x)))
       (let ((__function__ 'vl-exprlist-resolved->vals-nrev))
            (declare (ignorable __function__))
            (if (atom x)
                (nrev-fix nrev)
                (let ((nrev (nrev-push (vl-resolved->val (car x))
                                       nrev)))
                     (vl-exprlist-resolved->vals-nrev (cdr x)
                                                      nrev)))))

Function: vl-exprlist-resolved->vals

(defun
 vl-exprlist-resolved->vals (x)
 (declare (xargs :guard (vl-exprlist-p x)))
 (declare (xargs :guard (vl-exprlist-resolved-p x)))
 (let
  ((__function__ 'vl-exprlist-resolved->vals))
  (declare (ignorable __function__))
  (mbe
   :logic (if (consp x)
              (cons (vl-resolved->val (car x))
                    (vl-exprlist-resolved->vals (cdr x)))
              nil)
   :exec
   (if
      (atom x)
      nil
      (with-local-nrev (vl-exprlist-resolved->vals-nrev x nrev))))))

Theorem: integer-listp-of-vl-exprlist-resolved->vals

(defthm integer-listp-of-vl-exprlist-resolved->vals
        (b* ((vals (vl-exprlist-resolved->vals x)))
            (integer-listp vals))
        :rule-classes :rewrite)

Theorem: vl-exprlist-resolved->vals-of-vl-exprlist-fix-x

(defthm vl-exprlist-resolved->vals-of-vl-exprlist-fix-x
        (equal (vl-exprlist-resolved->vals (vl-exprlist-fix x))
               (vl-exprlist-resolved->vals x)))

Theorem: vl-exprlist-resolved->vals-vl-exprlist-equiv-congruence-on-x

(defthm vl-exprlist-resolved->vals-vl-exprlist-equiv-congruence-on-x
        (implies (vl-exprlist-equiv x x-equiv)
                 (equal (vl-exprlist-resolved->vals x)
                        (vl-exprlist-resolved->vals x-equiv)))
        :rule-classes :congruence)

Theorem: vl-exprlist-resolved->vals-of-update-nth

(defthm
 vl-exprlist-resolved->vals-of-update-nth
 (implies
  (<= (nfix acl2::n) (len acl2::x))
  (equal
   (vl-exprlist-resolved->vals (update-nth acl2::n acl2::v acl2::x))
   (update-nth acl2::n (vl-resolved->val acl2::v)
               (vl-exprlist-resolved->vals acl2::x))))
 :rule-classes ((:rewrite)))

Theorem: vl-exprlist-resolved->vals-of-revappend

(defthm
     vl-exprlist-resolved->vals-of-revappend
     (equal (vl-exprlist-resolved->vals (revappend acl2::x acl2::y))
            (revappend (vl-exprlist-resolved->vals acl2::x)
                       (vl-exprlist-resolved->vals acl2::y)))
     :rule-classes ((:rewrite)))

Theorem: nthcdr-of-vl-exprlist-resolved->vals

(defthm
     nthcdr-of-vl-exprlist-resolved->vals
     (equal (nthcdr acl2::n
                    (vl-exprlist-resolved->vals acl2::x))
            (vl-exprlist-resolved->vals (nthcdr acl2::n acl2::x)))
     :rule-classes ((:rewrite)))

Theorem: nth-of-vl-exprlist-resolved->vals

(defthm nth-of-vl-exprlist-resolved->vals
        (equal (nth acl2::n
                    (vl-exprlist-resolved->vals acl2::x))
               (and (< (nfix acl2::n) (len acl2::x))
                    (vl-resolved->val (nth acl2::n acl2::x))))
        :rule-classes ((:rewrite)))

Theorem: vl-exprlist-resolved->vals-of-take

(defthm
 vl-exprlist-resolved->vals-of-take
 (implies (<= (nfix acl2::n) (len acl2::x))
          (equal (vl-exprlist-resolved->vals (take acl2::n acl2::x))
                 (take acl2::n
                       (vl-exprlist-resolved->vals acl2::x))))
 :rule-classes ((:rewrite)))

Theorem: set-equiv-congruence-over-vl-exprlist-resolved->vals

(defthm set-equiv-congruence-over-vl-exprlist-resolved->vals
        (implies (set-equiv acl2::x acl2::y)
                 (set-equiv (vl-exprlist-resolved->vals acl2::x)
                            (vl-exprlist-resolved->vals acl2::y)))
        :rule-classes ((:congruence)))

Theorem: subsetp-of-vl-exprlist-resolved->vals-when-subsetp

(defthm subsetp-of-vl-exprlist-resolved->vals-when-subsetp
        (implies (subsetp acl2::x acl2::y)
                 (subsetp (vl-exprlist-resolved->vals acl2::x)
                          (vl-exprlist-resolved->vals acl2::y)))
        :rule-classes ((:rewrite)))

Theorem: member-of-vl-resolved->val-in-vl-exprlist-resolved->vals

(defthm member-of-vl-resolved->val-in-vl-exprlist-resolved->vals
        (implies (member acl2::k acl2::x)
                 (member (vl-resolved->val acl2::k)
                         (vl-exprlist-resolved->vals acl2::x)))
        :rule-classes ((:rewrite)))

Theorem: vl-exprlist-resolved->vals-nrev-removal

(defthm vl-exprlist-resolved->vals-nrev-removal
        (equal (vl-exprlist-resolved->vals-nrev acl2::x nrev)
               (append nrev
                       (vl-exprlist-resolved->vals acl2::x)))
        :rule-classes ((:rewrite)))

Theorem: vl-exprlist-resolved->vals-exec-removal

(defthm vl-exprlist-resolved->vals-exec-removal
        (equal (vl-exprlist-resolved->vals-exec acl2::x acl2::acc)
               (revappend (vl-exprlist-resolved->vals acl2::x)
                          acl2::acc))
        :rule-classes ((:rewrite)))

Theorem: vl-exprlist-resolved->vals-of-rev

(defthm vl-exprlist-resolved->vals-of-rev
        (equal (vl-exprlist-resolved->vals (rev acl2::x))
               (rev (vl-exprlist-resolved->vals acl2::x)))
        :rule-classes ((:rewrite)))

Theorem: vl-exprlist-resolved->vals-of-list-fix

(defthm vl-exprlist-resolved->vals-of-list-fix
        (equal (vl-exprlist-resolved->vals (list-fix acl2::x))
               (vl-exprlist-resolved->vals acl2::x))
        :rule-classes ((:rewrite)))

Theorem: vl-exprlist-resolved->vals-of-append

(defthm vl-exprlist-resolved->vals-of-append
        (equal (vl-exprlist-resolved->vals (append acl2::a acl2::b))
               (append (vl-exprlist-resolved->vals acl2::a)
                       (vl-exprlist-resolved->vals acl2::b)))
        :rule-classes ((:rewrite)))

Theorem: cdr-of-vl-exprlist-resolved->vals

(defthm cdr-of-vl-exprlist-resolved->vals
        (equal (cdr (vl-exprlist-resolved->vals acl2::x))
               (vl-exprlist-resolved->vals (cdr acl2::x)))
        :rule-classes ((:rewrite)))

Theorem: car-of-vl-exprlist-resolved->vals

(defthm car-of-vl-exprlist-resolved->vals
        (equal (car (vl-exprlist-resolved->vals acl2::x))
               (and (consp acl2::x)
                    (vl-resolved->val (car acl2::x))))
        :rule-classes ((:rewrite)))

Theorem: vl-exprlist-resolved->vals-under-iff

(defthm vl-exprlist-resolved->vals-under-iff
        (iff (vl-exprlist-resolved->vals acl2::x)
             (consp acl2::x))
        :rule-classes ((:rewrite)))

Theorem: consp-of-vl-exprlist-resolved->vals

(defthm consp-of-vl-exprlist-resolved->vals
        (equal (consp (vl-exprlist-resolved->vals acl2::x))
               (consp acl2::x))
        :rule-classes ((:rewrite)))

Theorem: len-of-vl-exprlist-resolved->vals

(defthm len-of-vl-exprlist-resolved->vals
        (equal (len (vl-exprlist-resolved->vals acl2::x))
               (len acl2::x))
        :rule-classes ((:rewrite)))

Theorem: true-listp-of-vl-exprlist-resolved->vals

(defthm true-listp-of-vl-exprlist-resolved->vals
        (true-listp (vl-exprlist-resolved->vals acl2::x))
        :rule-classes :type-prescription)

Theorem: vl-exprlist-resolved->vals-when-not-consp

(defthm vl-exprlist-resolved->vals-when-not-consp
        (implies (not (consp acl2::x))
                 (equal (vl-exprlist-resolved->vals acl2::x)
                        nil))
        :rule-classes ((:rewrite)))

Theorem: vl-exprlist-resolved->vals-of-cons

(defthm vl-exprlist-resolved->vals-of-cons
        (equal (vl-exprlist-resolved->vals (cons acl2::a acl2::b))
               (cons (vl-resolved->val acl2::a)
                     (vl-exprlist-resolved->vals acl2::b)))
        :rule-classes ((:rewrite)))