• Top
  • Documentation
  • Books
  • Boolean-reasoning
  • Projects
  • Debugging
  • Std
  • Community
  • Proof-automation
  • Macro-libraries
  • ACL2
  • Interfacing-tools
  • Hardware-verification
    • Gl
    • Esim
    • Vl2014
      • Warnings
      • Primitives
      • Use-set
      • Syntax
      • Getting-started
      • Utilities
      • Loader
      • Transforms
      • Lint
      • Mlib
        • Scopestack
        • Filtering-by-name
        • Vl-namefactory
        • Substitution
        • Allexprs
        • Hid-tools
        • Vl-consteval
        • Range-tools
        • Lvalexprs
          • Vl-plainarglist-lvalexprs
          • Vl-gateinstlist-lvalexprs
            • Vl-gateinstlist-lvalexprs-nrev
          • Vl-modulelist-lvalexprs
          • Vl-modinstlist-lvalexprs
          • Vl-initiallist-lvalexprs
          • Vl-assignlist-lvalexprs
          • Vl-alwayslist-lvalexprs
          • Vl-plainarg-lvalexprs
          • Vl-module-lvalexprs
          • Vl-modinst-lvalexprs
          • Vl-initial-lvalexprs
          • Vl-gateinst-lvalexprs
          • Vl-assign-lvalexprs
          • Vl-always-lvalexprs
          • Vl-stmt-lvalexprs
        • Hierarchy
        • Finding-by-name
        • Expr-tools
        • Expr-slicing
        • Stripping-functions
        • Stmt-tools
        • Modnamespace
        • Vl-parse-expr-from-str
        • Welltyped
        • Reordering-by-name
        • Flat-warnings
        • Genblob
        • Expr-building
        • Datatype-tools
        • Syscalls
        • Relocate
        • Expr-cleaning
        • Namemangle
        • Caremask
        • Port-tools
        • Lvalues
      • Server
      • Kit
      • Printer
      • Esim-vl
      • Well-formedness
    • Sv
    • Fgl
    • Vwsim
    • Vl
    • X86isa
    • Svl
    • Rtl
  • Software-verification
  • Math
  • Testing-utilities

• Lvalexprs

Vl-gateinstlist-lvalexprs

Gather all top-level expressions from a vl-gateinstlist-p.

Signature

(vl-gateinstlist-lvalexprs x) → exprs

Arguments

x — Guard (vl-gateinstlist-p x).

Returns

exprs — Type (vl-exprlist-p exprs).

Definitions and Theorems

Function: vl-gateinstlist-lvalexprs

(defun vl-gateinstlist-lvalexprs (x)
 (declare (xargs :guard (vl-gateinstlist-p x)))
 (let ((__function__ 'vl-gateinstlist-lvalexprs))
   (declare (ignorable __function__))
   (mbe :logic
        (if (atom x)
            nil
          (append (vl-gateinst-lvalexprs (car x))
                  (vl-gateinstlist-lvalexprs (cdr x))))
        :exec
        (with-local-nrev (vl-gateinstlist-lvalexprs-nrev x nrev)))))

Theorem: vl-exprlist-p-of-vl-gateinstlist-lvalexprs

(defthm vl-exprlist-p-of-vl-gateinstlist-lvalexprs
  (b* ((exprs (vl-gateinstlist-lvalexprs x)))
    (vl-exprlist-p exprs))
  :rule-classes :rewrite)

Theorem: true-listp-of-vl-gateinstlist-lvalexprs

(defthm true-listp-of-vl-gateinstlist-lvalexprs
  (true-listp (vl-gateinstlist-lvalexprs x))
  :rule-classes :type-prescription)

Theorem: vl-gateinstlist-lvalexprs-nrev-removal

(defthm vl-gateinstlist-lvalexprs-nrev-removal
  (equal (vl-gateinstlist-lvalexprs-nrev x nrev)
         (append nrev (vl-gateinstlist-lvalexprs x))))

Theorem: set-equiv-congruence-over-vl-gateinstlist-lvalexprs

(defthm set-equiv-congruence-over-vl-gateinstlist-lvalexprs
  (implies (set-equiv acl2::x acl2::y)
           (set-equiv (vl-gateinstlist-lvalexprs acl2::x)
                      (vl-gateinstlist-lvalexprs acl2::y)))
  :rule-classes ((:congruence)))

Theorem: subsetp-of-vl-gateinstlist-lvalexprs-when-subsetp

(defthm subsetp-of-vl-gateinstlist-lvalexprs-when-subsetp
  (implies (subsetp acl2::x acl2::y)
           (subsetp (vl-gateinstlist-lvalexprs acl2::x)
                    (vl-gateinstlist-lvalexprs acl2::y)))
  :rule-classes ((:rewrite)))

Theorem: member-in-vl-gateinstlist-lvalexprs

(defthm member-in-vl-gateinstlist-lvalexprs
  (implies (and (member acl2::k (vl-gateinst-lvalexprs acl2::j))
                (member acl2::j acl2::x))
           (member acl2::k
                   (vl-gateinstlist-lvalexprs acl2::x)))
  :rule-classes ((:rewrite)))

Theorem: vl-gateinstlist-lvalexprs-of-list-fix

(defthm vl-gateinstlist-lvalexprs-of-list-fix
  (equal (vl-gateinstlist-lvalexprs (list-fix acl2::x))
         (vl-gateinstlist-lvalexprs acl2::x))
  :rule-classes ((:rewrite)))

Theorem: vl-gateinstlist-lvalexprs-of-append

(defthm vl-gateinstlist-lvalexprs-of-append
  (equal (vl-gateinstlist-lvalexprs (append acl2::a acl2::b))
         (append (vl-gateinstlist-lvalexprs acl2::a)
                 (vl-gateinstlist-lvalexprs acl2::b)))
  :rule-classes ((:rewrite)))

Theorem: vl-gateinstlist-lvalexprs-when-not-consp

(defthm vl-gateinstlist-lvalexprs-when-not-consp
  (implies (not (consp acl2::x))
           (equal (vl-gateinstlist-lvalexprs acl2::x)
                  nil))
  :rule-classes ((:rewrite)))

Theorem: vl-gateinstlist-lvalexprs-of-cons

(defthm vl-gateinstlist-lvalexprs-of-cons
  (equal (vl-gateinstlist-lvalexprs (cons acl2::a acl2::b))
         (append (vl-gateinst-lvalexprs acl2::a)
                 (vl-gateinstlist-lvalexprs acl2::b)))
  :rule-classes ((:rewrite)))

Theorem: vl-exprlist-lvaluesp-of-vl-gateinstlist-lvalexprs

(defthm vl-exprlist-lvaluesp-of-vl-gateinstlist-lvalexprs
  (vl-exprlist-lvaluesp (vl-gateinstlist-lvalexprs x)))

Theorem: vl-gateinstlist-lvalexprs-of-vl-gateinstlist-fix-x

(defthm vl-gateinstlist-lvalexprs-of-vl-gateinstlist-fix-x
  (equal (vl-gateinstlist-lvalexprs (vl-gateinstlist-fix x))
         (vl-gateinstlist-lvalexprs x)))

Theorem: vl-gateinstlist-lvalexprs-vl-gateinstlist-equiv-congruence-on-x

(defthm
    vl-gateinstlist-lvalexprs-vl-gateinstlist-equiv-congruence-on-x
  (implies (vl-gateinstlist-equiv x x-equiv)
           (equal (vl-gateinstlist-lvalexprs x)
                  (vl-gateinstlist-lvalexprs x-equiv)))
  :rule-classes :congruence)

Subtopics

Vl-gateinstlist-lvalexprs-nrev