• Top
  • Documentation
  • Books
  • Boolean-reasoning
  • Projects
  • Debugging
  • Community
  • Std
  • Proof-automation
  • Macro-libraries
  • ACL2
  • Interfacing-tools
  • Hardware-verification
    • Gl
    • Esim
    • Vl2014
      • Warnings
      • Primitives
      • Use-set
      • Syntax
      • Getting-started
      • Utilities
      • Loader
        • Preprocessor
          • Vl-iframe-p
          • Preprocessor-ifdef-minutia
          • Vl-preprocess-loop
          • Vl-read-until-end-of-define
          • Vl-expand-define
          • Vl-read-include
            • Vl-read-include-prefix/remainder-thms
          • Vl-process-ifdef
          • Vl-substitute-into-macro-text
          • Vl-preprocess
          • Vl-define
          • Vl-process-define
          • Vl-process-undef
          • Preprocessor-include-minutia
          • Vl-split-define-text
          • Vl-read-timescale
          • Vl-line-up-define-formals-and-actuals
          • Vl-process-else
          • Vl-process-endif
          • Vl-istack-p
          • Vl-is-compiler-directive-p
          • Vl-check-remaining-formals-all-have-defaults
          • Vl-safe-previous-n
          • Vl-safe-next-n
          • Vl-defines
          • *vl-preprocess-clock*
        • Vl-loadconfig
        • Lexer
        • 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

• Vl-read-include
• Def-prefix/remainder-thms

Vl-read-include-prefix/remainder-thms

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

Definitions and Theorems

Theorem: prefix-of-vl-read-include

(defthm prefix-of-vl-read-include
 (and
  (true-listp (mv-nth 1 (vl-read-include echars config)))
  (implies
       (force (vl-echarlist-p echars))
       (vl-echarlist-p (mv-nth 1 (vl-read-include echars config)))))
 :rule-classes
 ((:rewrite)
  (:type-prescription
       :corollary
       (true-listp (mv-nth 1 (vl-read-include echars config))))))

Theorem: remainder-of-vl-read-include

(defthm remainder-of-vl-read-include
 (and
  (equal (true-listp (mv-nth 2 (vl-read-include echars config)))
         (true-listp echars))
  (implies
       (force (vl-echarlist-p echars))
       (vl-echarlist-p (mv-nth 2 (vl-read-include echars config)))))
 :rule-classes
 ((:rewrite)
  (:type-prescription
    :corollary
    (implies
         (true-listp echars)
         (true-listp (mv-nth 2 (vl-read-include echars config)))))))

Theorem: append-of-vl-read-include

(defthm append-of-vl-read-include
  (equal (append (mv-nth 1 (vl-read-include echars config))
                 (mv-nth 2 (vl-read-include echars config)))
         echars))

Theorem: no-change-loser-of-vl-read-include

(defthm no-change-loser-of-vl-read-include
  (implies (not (mv-nth 1 (vl-read-include echars config)))
           (equal (mv-nth 2 (vl-read-include echars config))
                  echars)))

Theorem: acl2-count-of-vl-read-include-weak

(defthm acl2-count-of-vl-read-include-weak
  (<= (acl2-count (mv-nth 2 (vl-read-include echars config)))
      (acl2-count echars))
  :rule-classes ((:rewrite) (:linear)))

Theorem: acl2-count-of-vl-read-include-strong

(defthm acl2-count-of-vl-read-include-strong
 (implies (mv-nth 1 (vl-read-include echars config))
          (< (acl2-count (mv-nth 2 (vl-read-include echars config)))
             (acl2-count echars)))
 :rule-classes ((:rewrite) (:linear)))