• Top
  • Documentation
  • Books
  • Boolean-reasoning
  • Projects
  • Debugging
  • Std
  • Proof-automation
  • Macro-libraries
  • ACL2
  • Interfacing-tools
  • Hardware-verification
    • Gl
    • Esim
    • Vl2014
    • Sv
    • Fgl
    • Vwsim
    • Vl
      • Syntax
      • Loader
        • Preprocessor
        • Vl-loadconfig
        • Vl-loadstate
        • Lexer
        • Parser
        • Vl-load-merge-descriptions
        • Vl-find-basename/extension
        • Vl-load-file
        • Vl-loadresult
        • Scope-of-defines
        • Vl-find-file
        • Vl-flush-out-descriptions
        • Vl-description
          • Vl-description-p
          • Vl-sort-descriptions
          • Vl-description-fix
          • Vl-find-description
          • Vl-description-equiv
          • Vl-description->origname
          • Vl-description->name
          • Vl-design-from-descriptions
          • Vl-make-descalist
          • Vl-design-descriptions
          • Vl-fast-filter-descriptions
          • Vl-fast-find-description
          • Vl-descalist
          • Vl-slow-delete-descriptions
        • Vl-read-file
        • Vl-includeskips-report-gather
        • Vl-load-main
        • Extended-characters
        • Vl-load
        • Vl-load-description
        • Vl-descriptions-left-to-load
        • Inject-warnings
        • Vl-preprocess-debug
        • Vl-write-preprocessor-debug-file
        • Vl-read-file-report-gather
        • Vl-load-descriptions
        • Vl-load-files
        • Translate-off
        • Vl-load-read-file-hook
        • Vl-read-file-report
        • Vl-loadstate-pad
        • Vl-load-summary
        • Vl-collect-modules-from-descriptions
        • Vl-loadstate->warnings
        • Vl-iskips-report
        • Vl-descriptionlist
      • Warnings
      • Getting-started
      • Utilities
      • Printer
      • Kit
      • Mlib
      • Transforms
    • X86isa
    • Svl
    • Rtl
  • Software-verification
  • Math
  • Testing-utilities

• Vl-description

Vl-description-equiv

Basic equivalence relation for vl-description structures.

Definitions and Theorems

Function: vl-description-equiv$inline

(defun vl-description-equiv$inline (acl2::x acl2::y)
  (declare (xargs :guard (and (vl-description-p acl2::x)
                              (vl-description-p acl2::y))))
  (equal (vl-description-fix acl2::x)
         (vl-description-fix acl2::y)))

Theorem: vl-description-equiv-is-an-equivalence

(defthm vl-description-equiv-is-an-equivalence
  (and (booleanp (vl-description-equiv x y))
       (vl-description-equiv x x)
       (implies (vl-description-equiv x y)
                (vl-description-equiv y x))
       (implies (and (vl-description-equiv x y)
                     (vl-description-equiv y z))
                (vl-description-equiv x z)))
  :rule-classes (:equivalence))

Theorem: vl-description-equiv-implies-equal-vl-description-fix-1

(defthm vl-description-equiv-implies-equal-vl-description-fix-1
  (implies (vl-description-equiv acl2::x x-equiv)
           (equal (vl-description-fix acl2::x)
                  (vl-description-fix x-equiv)))
  :rule-classes (:congruence))

Theorem: vl-description-fix-under-vl-description-equiv

(defthm vl-description-fix-under-vl-description-equiv
  (vl-description-equiv (vl-description-fix acl2::x)
                        acl2::x)
  :rule-classes (:rewrite :rewrite-quoted-constant))

Theorem: equal-of-vl-description-fix-1-forward-to-vl-description-equiv

(defthm
      equal-of-vl-description-fix-1-forward-to-vl-description-equiv
  (implies (equal (vl-description-fix acl2::x)
                  acl2::y)
           (vl-description-equiv acl2::x acl2::y))
  :rule-classes :forward-chaining)

Theorem: equal-of-vl-description-fix-2-forward-to-vl-description-equiv

(defthm
      equal-of-vl-description-fix-2-forward-to-vl-description-equiv
  (implies (equal acl2::x (vl-description-fix acl2::y))
           (vl-description-equiv acl2::x acl2::y))
  :rule-classes :forward-chaining)

Theorem: vl-description-equiv-of-vl-description-fix-1-forward

(defthm vl-description-equiv-of-vl-description-fix-1-forward
  (implies (vl-description-equiv (vl-description-fix acl2::x)
                                 acl2::y)
           (vl-description-equiv acl2::x acl2::y))
  :rule-classes :forward-chaining)

Theorem: vl-description-equiv-of-vl-description-fix-2-forward

(defthm vl-description-equiv-of-vl-description-fix-2-forward
  (implies
       (vl-description-equiv acl2::x (vl-description-fix acl2::y))
       (vl-description-equiv acl2::x acl2::y))
  :rule-classes :forward-chaining)