• Top
  • Documentation
  • Books
  • Boolean-reasoning
  • Projects
  • Debugging
  • Std
  • Proof-automation
  • Macro-libraries
  • ACL2
  • Interfacing-tools
  • Hardware-verification
  • Software-verification
    • Kestrel-books
      • Crypto-hdwallet
      • Apt
      • Error-checking
      • Abnf
      • Fty-extensions
      • Isar
      • Kestrel-utilities
      • Soft
      • Bv
      • Imp-language
      • Event-macros
      • C
      • Java
      • Bitcoin
      • Ethereum
      • Yul
      • Zcash
      • ACL2-programming-language
        • Primitive-functions
        • Translated-terms
        • Values
          • Value
          • Symbol-value
          • Lower-symbol
          • Lift-symbol-list
          • Symbol-value-option
          • Value-option
          • Lift-value
          • Lift-symbol
          • Value-rational->get
          • Value-integer->get
          • Value-case-rational
          • Value-case-integer
          • Value-symbol-list
          • Lower-value
          • Value-list-of
          • Value-list
          • Symbol-value-list
          • Symbol-value-set
          • Value-t
          • Value-nil
        • Evaluation
        • Program-equivalence
        • Functions
        • Packages
        • Programs
        • Interpreter
        • Evaluation-states
      • Prime-fields
      • Json
      • Syntheto
      • File-io-light
      • Number-theory
      • Cryptography
      • Lists-light
      • Builtins
      • Axe
      • Solidity
      • Helpers
      • Std-extensions
      • Htclient
      • Typed-lists-light
      • Arithmetic-light
    • X86isa
    • Axe
    • Execloader
  • Math
  • Testing-utilities

• Values

Lift-symbol-list

Lift lift-symbol to lists.

Signature

(lift-symbol-list x) → symvals

Returns

symvals — Type (symbol-value-listp symvals).

This is an ordinary std::defprojection.

Definitions and Theorems

Function: lift-symbol-list-exec

(defun lift-symbol-list-exec (x acc)
  (declare (xargs :guard (symbol-listp x)))
  (let ((__function__ 'lift-symbol-list-exec))
    (declare (ignorable __function__))
    (if (consp x)
        (lift-symbol-list-exec (cdr x)
                               (cons (lift-symbol (car x)) acc))
      acc)))

Function: lift-symbol-list-nrev

(defun lift-symbol-list-nrev (x acl2::nrev)
  (declare (xargs :stobjs (acl2::nrev)))
  (declare (xargs :guard (symbol-listp x)))
  (let ((__function__ 'lift-symbol-list-nrev))
    (declare (ignorable __function__))
    (if (atom x)
        (acl2::nrev-fix acl2::nrev)
      (let ((acl2::nrev (acl2::nrev-push (lift-symbol (car x))
                                         acl2::nrev)))
        (lift-symbol-list-nrev (cdr x)
                               acl2::nrev)))))

Function: lift-symbol-list

(defun lift-symbol-list (x)
 (declare (xargs :guard (symbol-listp x)))
 (let ((__function__ 'lift-symbol-list))
  (declare (ignorable __function__))
  (mbe
   :logic
   (if (consp x)
       (cons (lift-symbol (car x))
             (lift-symbol-list (cdr x)))
     nil)
   :exec
   (if (atom x)
       nil
    (acl2::with-local-nrev (lift-symbol-list-nrev x acl2::nrev))))))

Theorem: symbol-value-listp-of-lift-symbol-list

(defthm symbol-value-listp-of-lift-symbol-list
  (b* ((symvals (lift-symbol-list x)))
    (symbol-value-listp symvals))
  :rule-classes :rewrite)

Theorem: lift-symbol-list-nrev-removal

(defthm lift-symbol-list-nrev-removal
  (equal (lift-symbol-list-nrev acl2::x acl2::nrev)
         (append acl2::nrev (lift-symbol-list acl2::x)))
  :rule-classes ((:rewrite)))

Theorem: lift-symbol-list-exec-removal

(defthm lift-symbol-list-exec-removal
  (equal (lift-symbol-list-exec acl2::x acl2::acc)
         (revappend (lift-symbol-list acl2::x)
                    acl2::acc))
  :rule-classes ((:rewrite)))

Theorem: lift-symbol-list-of-rev

(defthm lift-symbol-list-of-rev
  (equal (lift-symbol-list (rev acl2::x))
         (rev (lift-symbol-list acl2::x)))
  :rule-classes ((:rewrite)))

Theorem: lift-symbol-list-of-list-fix

(defthm lift-symbol-list-of-list-fix
  (equal (lift-symbol-list (list-fix acl2::x))
         (lift-symbol-list acl2::x))
  :rule-classes ((:rewrite)))

Theorem: lift-symbol-list-of-append

(defthm lift-symbol-list-of-append
  (equal (lift-symbol-list (append acl2::a acl2::b))
         (append (lift-symbol-list acl2::a)
                 (lift-symbol-list acl2::b)))
  :rule-classes ((:rewrite)))

Theorem: cdr-of-lift-symbol-list

(defthm cdr-of-lift-symbol-list
  (equal (cdr (lift-symbol-list acl2::x))
         (lift-symbol-list (cdr acl2::x)))
  :rule-classes ((:rewrite)))

Theorem: car-of-lift-symbol-list

(defthm car-of-lift-symbol-list
  (equal (car (lift-symbol-list acl2::x))
         (and (consp acl2::x)
              (lift-symbol (car acl2::x))))
  :rule-classes ((:rewrite)))

Theorem: lift-symbol-list-under-iff

(defthm lift-symbol-list-under-iff
  (iff (lift-symbol-list acl2::x)
       (consp acl2::x))
  :rule-classes ((:rewrite)))

Theorem: consp-of-lift-symbol-list

(defthm consp-of-lift-symbol-list
  (equal (consp (lift-symbol-list acl2::x))
         (consp acl2::x))
  :rule-classes ((:rewrite)))

Theorem: len-of-lift-symbol-list

(defthm len-of-lift-symbol-list
  (equal (len (lift-symbol-list acl2::x))
         (len acl2::x))
  :rule-classes ((:rewrite)))

Theorem: true-listp-of-lift-symbol-list

(defthm true-listp-of-lift-symbol-list
  (true-listp (lift-symbol-list acl2::x))
  :rule-classes :type-prescription)

Theorem: lift-symbol-list-when-not-consp

(defthm lift-symbol-list-when-not-consp
  (implies (not (consp acl2::x))
           (equal (lift-symbol-list acl2::x) nil))
  :rule-classes ((:rewrite)))

Theorem: lift-symbol-list-of-cons

(defthm lift-symbol-list-of-cons
  (equal (lift-symbol-list (cons acl2::a acl2::b))
         (cons (lift-symbol acl2::a)
               (lift-symbol-list acl2::b)))
  :rule-classes ((:rewrite)))