• 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
      • Fty-extensions
      • Isar
      • Kestrel-utilities
      • Soft
      • Bv
      • Imp-language
      • C
        • Syntax-for-tools
        • Atc
        • Language
          • Abstract-syntax
          • Integer-ranges
          • Dynamic-semantics
          • Static-semantics
          • Grammar
          • Integer-formats
          • Types
          • Portable-ascii-identifiers
          • Values
            • Pointer
            • Member-types-of-member-values
            • Member-value-list->value-list
            • Member-value-list->name-list
            • Expr-value
            • Type-list-of-value-list
            • Type-of-value
            • Value-option
            • Init-value
            • Value-result
            • Type-of-value-option
            • Value-list-result
            • Member-value-list-result
            • Init-value-result
            • Expr-value-result
            • Value-option-result
            • Signed/unsigned-byte-p-of-integer-values
            • Member-type-of-member-value
            • Bounds-of-integer-values
            • Value-promoted-arithmeticp
            • Init-type-of-init-value
            • Value-unsigned-integerp
            • Value-signed-integerp
            • Value-integerp
            • Value-arithmeticp
            • Value-scalarp
            • Value-realp
            • Values/membervalues
              • Value
                • Valuep
                • Value-case
                • Value-struct
                • Value-equiv
                • Value-array
                  • Value-array->elements
                  • Value-array->elemtype
                  • Make-value-array
                  • Change-value-array
                • Value-kind
                • Value-pointer
                • Value-ushort
                • Value-ulong
                • Value-ullong
                • Value-uint
                • Value-uchar
                • Value-sshort
                • Value-slong
                • Value-sllong
                • Value-sint
                • Value-schar
                • Value-fix
                • Value-count
              • Member-value
              • Value-list
              • Member-value-list
          • Integer-operations
          • Computation-states
          • Object-designators
          • Implementation-environments
          • Operations
          • Errors
          • Tag-environments
          • Function-environments
          • Character-sets
          • Flexible-array-member-removal
          • Arithmetic-operations
          • Pointer-operations
          • Bytes
          • Keywords
          • Real-operations
          • Array-operations
          • Scalar-operations
          • Structure-operations
        • Representation
        • Transformation-tools
        • Pack
      • Event-macros
      • Java
      • Bitcoin
      • Ethereum
      • Yul
      • Zcash
      • ACL2-programming-language
      • Prime-fields
      • Json
      • Syntheto
      • File-io-light
      • Number-theory
      • Cryptography
      • Lists-light
      • Builtins
      • Axe
      • Solidity
      • Helpers
      • Htclient
      • Typed-lists-light
      • Arithmetic-light
    • X86isa
    • Axe
    • Execloader
  • Math
  • Testing-utilities

• Value-array

Value-array->elements

Get the elements field from a value-array.

Signature

(value-array->elements x) → elements

Arguments

x — Guard (valuep x).

Returns

elements — Type (value-listp elements).

This is an ordinary field accessor created by fty::defprod.

Definitions and Theorems

Function: value-array->elements$inline

(defun value-array->elements$inline (x)
  (declare (xargs :guard (valuep x)))
  (declare (xargs :guard (equal (value-kind x) :array)))
  (let ((__function__ 'value-array->elements))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and (equal (value-kind x) :array) x))
              (elemtype (type-fix (std::da-nth 0 (cdr x))))
              (elements (value-list-fix (std::da-nth 1 (cdr x)))))
           (if (consp elements)
               elements
             (list (value-fix :irrelevant))))
         :exec (std::da-nth 1 (cdr x)))))

Theorem: value-listp-of-value-array->elements

(defthm value-listp-of-value-array->elements
  (b* ((elements (value-array->elements$inline x)))
    (value-listp elements))
  :rule-classes :rewrite)

Theorem: value-array->elements$inline-of-value-fix-x

(defthm value-array->elements$inline-of-value-fix-x
  (equal (value-array->elements$inline (value-fix x))
         (value-array->elements$inline x)))

Theorem: value-array->elements$inline-value-equiv-congruence-on-x

(defthm value-array->elements$inline-value-equiv-congruence-on-x
  (implies (value-equiv x x-equiv)
           (equal (value-array->elements$inline x)
                  (value-array->elements$inline x-equiv)))
  :rule-classes :congruence)

Theorem: value-array->elements-when-wrong-kind

(defthm value-array->elements-when-wrong-kind
 (implies
    (not (equal (value-kind x) :array))
    (equal (value-array->elements x)
           (b* ((x nil)
                (elemtype (type-fix (std::da-nth 0 (cdr x))))
                (elements (value-list-fix (std::da-nth 1 (cdr x)))))
             (if (consp elements)
                 elements
               (list (value-fix :irrelevant)))))))