• Top
  • Documentation
  • Books
  • Boolean-reasoning
  • Projects
  • Debugging
  • Community
  • Std
  • Proof-automation
  • Macro-libraries
  • ACL2
  • Interfacing-tools
  • Hardware-verification
  • Software-verification
    • Kestrel-books
      • Crypto-hdwallet
      • Apt
      • Error-checking
      • Fty-extensions
      • Isar
      • Kestrel-utilities
      • Set
      • C
        • Syntax-for-tools
        • Atc
          • Atc-implementation
            • Atc-abstract-syntax
            • Atc-pretty-printer
            • Atc-event-and-code-generation
              • Atc-symbolic-computation-states
              • Atc-symbolic-execution-rules
              • Atc-gen-ext-declon-lists
              • Atc-function-and-loop-generation
              • Atc-statement-generation
              • Atc-gen-fileset
              • Atc-gen-everything
              • Atc-gen-obj-declon
              • Atc-gen-fileset-event
              • Atc-tag-tables
              • Atc-expression-generation
              • Atc-generation-contexts
              • Atc-gen-wf-thm
              • Term-checkers-atc
              • Atc-variable-tables
                • Atc-var-info-list->type-list
                • Atc-var-info-list->thm-list
                • Atc-check-var
                • Atc-var-info
                • Atc-var-info-option
                • Atc-get-vars-check-innermost
                • Atc-get-var-check-innermost
                • Atc-add-var
                • Atc-get-var
                • Atc-symbol-varinfo-alist
                • Atc-symbol-varinfo-alist-list-to-thms
                • Atc-symbol-varinfo-alist-list
                • Atc-get-vars
                • Atc-symbol-varinfo-alist-to-thms
                • Atc-var-info-option-list
                • Atc-var-info-list
              • Term-checkers-common
              • Atc-gen-init-fun-env-thm
              • Atc-gen-appconds
              • Read-write-variables
              • Atc-gen-thm-assert-events
              • Test*
              • Atc-gen-prog-const
              • Atc-gen-expr-bool
              • Atc-theorem-generation
              • Atc-tag-generation
              • Atc-gen-expr-pure
              • Atc-function-tables
              • Atc-object-tables
            • Fty-pseudo-term-utilities
            • Atc-term-recognizers
            • Atc-input-processing
            • Atc-shallow-embedding
            • Atc-process-inputs-and-gen-everything
            • Atc-table
            • Atc-fn
            • Atc-pretty-printing-options
            • Atc-types
            • Atc-macro-definition
          • Atc-tutorial
          • Pure-expression-execution
        • Transformation-tools
        • Language
        • Representation
        • Insertion-sort
        • Pack
      • Soft
      • Bv
      • Imp-language
      • Ethereum
      • Event-macros
      • Java
      • Riscv
      • Bitcoin
      • Zcash
      • Yul
      • ACL2-programming-language
      • Prime-fields
      • Json
      • Syntheto
      • File-io-light
      • Cryptography
      • Number-theory
      • Axe
      • Lists-light
      • Builtins
      • Solidity
      • Helpers
      • Htclient
      • Typed-lists-light
      • Arithmetic-light
    • X86isa
    • Axe
    • Execloader
  • Math
  • Testing-utilities

• Atc-variable-tables

Atc-var-info-list->thm-list

Lift atc-var-info->thm to lists.

Signature

(atc-var-info-list->thm-list x) → thms

Arguments

x — Guard (atc-var-info-listp x).

Returns

thms — Type (symbol-listp thms).

This is an ordinary std::defprojection.

Definitions and Theorems

Function: atc-var-info-list->thm-list-exec

(defun atc-var-info-list->thm-list-exec (x acc)
  (declare (xargs :guard (atc-var-info-listp x)))
  (declare (xargs :guard t))
  (let ((__function__ 'atc-var-info-list->thm-list-exec))
    (declare (ignorable __function__))
    (if (consp x)
        (atc-var-info-list->thm-list-exec
             (cdr x)
             (cons (atc-var-info->thm (car x)) acc))
      acc)))

Function: atc-var-info-list->thm-list-nrev

(defun atc-var-info-list->thm-list-nrev (x acl2::nrev)
  (declare (xargs :stobjs (acl2::nrev)))
  (declare (xargs :guard (atc-var-info-listp x)))
  (declare (xargs :guard t))
  (let ((__function__ 'atc-var-info-list->thm-list-nrev))
    (declare (ignorable __function__))
    (if (atom x)
        (acl2::nrev-fix acl2::nrev)
      (let ((acl2::nrev (acl2::nrev-push (atc-var-info->thm (car x))
                                         acl2::nrev)))
        (atc-var-info-list->thm-list-nrev (cdr x)
                                          acl2::nrev)))))

Function: atc-var-info-list->thm-list

(defun atc-var-info-list->thm-list (x)
  (declare (xargs :guard (atc-var-info-listp x)))
  (declare (xargs :guard t))
  (let ((__function__ 'atc-var-info-list->thm-list))
    (declare (ignorable __function__))
    (mbe :logic
         (if (consp x)
             (cons (atc-var-info->thm (car x))
                   (atc-var-info-list->thm-list (cdr x)))
           nil)
         :exec
         (if (atom x)
             nil
           (acl2::with-local-nrev
                (atc-var-info-list->thm-list-nrev x acl2::nrev))))))

Theorem: symbol-listp-of-atc-var-info-list->thm-list

(defthm symbol-listp-of-atc-var-info-list->thm-list
  (b* ((thms (atc-var-info-list->thm-list x)))
    (symbol-listp thms))
  :rule-classes :rewrite)

Theorem: atc-var-info-list->thm-list-nrev-removal

(defthm atc-var-info-list->thm-list-nrev-removal
  (equal (atc-var-info-list->thm-list-nrev acl2::x acl2::nrev)
         (append acl2::nrev
                 (atc-var-info-list->thm-list acl2::x)))
  :rule-classes ((:rewrite)))

Theorem: atc-var-info-list->thm-list-exec-removal

(defthm atc-var-info-list->thm-list-exec-removal
  (equal (atc-var-info-list->thm-list-exec acl2::x acl2::acc)
         (revappend (atc-var-info-list->thm-list acl2::x)
                    acl2::acc))
  :rule-classes ((:rewrite)))

Theorem: atc-var-info-list->thm-list-of-rev

(defthm atc-var-info-list->thm-list-of-rev
  (equal (atc-var-info-list->thm-list (rev acl2::x))
         (rev (atc-var-info-list->thm-list acl2::x)))
  :rule-classes ((:rewrite)))

Theorem: atc-var-info-list->thm-list-of-list-fix

(defthm atc-var-info-list->thm-list-of-list-fix
  (equal (atc-var-info-list->thm-list (list-fix acl2::x))
         (atc-var-info-list->thm-list acl2::x))
  :rule-classes ((:rewrite)))

Theorem: atc-var-info-list->thm-list-of-append

(defthm atc-var-info-list->thm-list-of-append
  (equal (atc-var-info-list->thm-list (append acl2::a acl2::b))
         (append (atc-var-info-list->thm-list acl2::a)
                 (atc-var-info-list->thm-list acl2::b)))
  :rule-classes ((:rewrite)))

Theorem: cdr-of-atc-var-info-list->thm-list

(defthm cdr-of-atc-var-info-list->thm-list
  (equal (cdr (atc-var-info-list->thm-list acl2::x))
         (atc-var-info-list->thm-list (cdr acl2::x)))
  :rule-classes ((:rewrite)))

Theorem: car-of-atc-var-info-list->thm-list

(defthm car-of-atc-var-info-list->thm-list
  (equal (car (atc-var-info-list->thm-list acl2::x))
         (and (consp acl2::x)
              (atc-var-info->thm (car acl2::x))))
  :rule-classes ((:rewrite)))

Theorem: atc-var-info-list->thm-list-under-iff

(defthm atc-var-info-list->thm-list-under-iff
  (iff (atc-var-info-list->thm-list acl2::x)
       (consp acl2::x))
  :rule-classes ((:rewrite)))

Theorem: consp-of-atc-var-info-list->thm-list

(defthm consp-of-atc-var-info-list->thm-list
  (equal (consp (atc-var-info-list->thm-list acl2::x))
         (consp acl2::x))
  :rule-classes ((:rewrite)))

Theorem: len-of-atc-var-info-list->thm-list

(defthm len-of-atc-var-info-list->thm-list
  (equal (len (atc-var-info-list->thm-list acl2::x))
         (len acl2::x))
  :rule-classes ((:rewrite)))

Theorem: true-listp-of-atc-var-info-list->thm-list

(defthm true-listp-of-atc-var-info-list->thm-list
  (true-listp (atc-var-info-list->thm-list acl2::x))
  :rule-classes :type-prescription)

Theorem: atc-var-info-list->thm-list-when-not-consp

(defthm atc-var-info-list->thm-list-when-not-consp
  (implies (not (consp acl2::x))
           (equal (atc-var-info-list->thm-list acl2::x)
                  nil))
  :rule-classes ((:rewrite)))

Theorem: atc-var-info-list->thm-list-of-cons

(defthm atc-var-info-list->thm-list-of-cons
  (equal (atc-var-info-list->thm-list (cons acl2::a acl2::b))
         (cons (atc-var-info->thm acl2::a)
               (atc-var-info-list->thm-list acl2::b)))
  :rule-classes ((:rewrite)))