• 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
        • Preprocessor
        • Vl-loadconfig
        • Lexer
          • Lex-strings
          • Lex-identifiers
          • Vl-typo-uppercase-p
          • Vl-typo-number-p
          • Vl-typo-lowercase-p
          • Lex-numbers
            • Vl-z-digit-p
            • Vl-x-digit-p
            • Vl-underscore-or-octal-digit-p
            • Vl-underscore-or-hex-digit-p
            • Vl-underscore-or-decimal-digit-p
            • Vl-underscore-or-binary-digit-p
            • Vl-octal-digit-p
            • Vl-non-zero-decimal-digit-p
            • Vl-hex-digit-p
            • Vl-decimal-digit-p
            • Vl-binary-digit-p
            • Vl-lex-integer
            • Vl-correct-bitlist
            • Vl-lex-time-or-real-number
            • Vl-read-decimal-value
            • Vl-lex-unbased-unsized-literal
            • Vl-lex-number
            • Vl-read-non-zero-unsigned-number
            • Vl-read-any-base
            • Vl-read-unsigned-number
            • Vl-read-time-unit
            • Vl-read-binary-value
            • Vl-read-real-tail
            • Vl-read-octal-value
            • Vl-read-hex-value
            • Vl-read-decimal-base
            • Vl-read-octal-base
            • Vl-read-hex-base
              • Vl-read-hex-base-prefix/remainder-thms
            • Vl-read-binary-base
            • Vl-hex-digits-to-bitlist
            • Vl-octal-digits-to-bitlist
            • Vl-decimal-digits-to-bitlist
            • Vl-binary-digits-to-bitlist
            • Vl-underscore-or-octal-digit-list-p
            • Vl-underscore-or-hex-digit-list-p
            • Vl-underscore-or-decimal-digit-list-p
            • Vl-underscore-or-binary-digit-list-p
            • Vl-non-zero-decimal-digit-list-p
            • Vl-decimal-digit-list-p
            • Vl-binary-digit-list-p
            • Vl-z-digit-list-p
            • Vl-x-digit-list-p
            • Vl-octal-digit-list-p
            • Vl-hex-digit-list-p
            • Vl-timeunit-lookup
          • Chartypes
          • Vl-lex
          • Defchar
          • Tokens
          • Lex-keywords
          • Lexstate
          • Make-test-tokens
          • Lexer-utils
          • Lex-comments
          • Vl-typo-uppercase-list-p
          • Vl-typo-lowercase-list-p
          • Vl-typo-number-list-p
        • Vl-loadstate
        • Parser
        • Vl-load-merge-descriptions
        • Scope-of-defines
        • Vl-load-file
        • Vl-flush-out-descriptions
        • Vl-description
        • Vl-loadresult
        • Vl-read-file
        • Vl-find-basename/extension
        • Vl-find-file
        • Vl-read-files
        • Extended-characters
        • Vl-load
        • Vl-load-main
        • Vl-load-description
        • Vl-descriptions-left-to-load
        • Inject-warnings
        • Vl-load-descriptions
        • Vl-load-files
        • Vl-load-summary
        • Vl-collect-modules-from-descriptions
        • Vl-descriptionlist
      • Transforms
      • Lint
      • Mlib
      • Server
      • Kit
      • Printer
      • Esim-vl
      • Well-formedness
    • Sv
    • Fgl
    • Vwsim
    • Vl
    • X86isa
    • Svl
    • Rtl
  • Software-verification
  • Math
  • Testing-utilities

• Lex-numbers

Vl-read-hex-base

hex_base ::= '[s|S]h | '[s|S]H.

Signature

(vl-read-hex-base echars) → (mv prefix remainder)

Arguments

echars — Guard (vl-echarlist-p echars).

Embedded spaces are not allowed.

Definitions and Theorems

Function: vl-read-hex-base$inline

(defun vl-read-hex-base$inline (echars)
  (declare (xargs :guard (vl-echarlist-p echars)))
  (let ((__function__ 'vl-read-hex-base))
    (declare (ignorable __function__))
    (vl-read-some-literal '("'h" "'H" "'sh" "'sH" "'Sh" "'SH")
                          echars)))

Theorem: prefix-of-vl-read-hex-base

(defthm prefix-of-vl-read-hex-base
 (and
    (true-listp (mv-nth 0 (vl-read-hex-base echars)))
    (implies (force (vl-echarlist-p echars))
             (vl-echarlist-p (mv-nth 0 (vl-read-hex-base echars)))))
 :rule-classes
 ((:rewrite)
  (:type-prescription
     :corollary (true-listp (mv-nth 0 (vl-read-hex-base echars))))))

Theorem: remainder-of-vl-read-hex-base

(defthm remainder-of-vl-read-hex-base
 (and
    (equal (true-listp (mv-nth 1 (vl-read-hex-base echars)))
           (true-listp echars))
    (implies (force (vl-echarlist-p echars))
             (vl-echarlist-p (mv-nth 1 (vl-read-hex-base echars)))))
 :rule-classes
 ((:rewrite)
  (:type-prescription
      :corollary
      (implies (true-listp echars)
               (true-listp (mv-nth 1 (vl-read-hex-base echars)))))))

Theorem: append-of-vl-read-hex-base

(defthm append-of-vl-read-hex-base
  (equal (append (mv-nth 0 (vl-read-hex-base echars))
                 (mv-nth 1 (vl-read-hex-base echars)))
         echars))

Theorem: no-change-loser-of-vl-read-hex-base

(defthm no-change-loser-of-vl-read-hex-base
  (implies (not (mv-nth 0 (vl-read-hex-base echars)))
           (equal (mv-nth 1 (vl-read-hex-base echars))
                  echars)))

Theorem: acl2-count-of-vl-read-hex-base-weak

(defthm acl2-count-of-vl-read-hex-base-weak
  (<= (acl2-count (mv-nth 1 (vl-read-hex-base echars)))
      (acl2-count echars))
  :rule-classes ((:rewrite) (:linear)))

Theorem: acl2-count-of-vl-read-hex-base-strong

(defthm acl2-count-of-vl-read-hex-base-strong
  (implies (mv-nth 0 (vl-read-hex-base echars))
           (< (acl2-count (mv-nth 1 (vl-read-hex-base echars)))
              (acl2-count echars)))
  :rule-classes ((:rewrite) (:linear)))

Subtopics

Vl-read-hex-base-prefix/remainder-thms

Prefix and remainder theorems for vl-read-hex-base, automatically generated by def-prefix/remainder-thms.