• Top
  • Documentation
  • Books
  • Boolean-reasoning
  • Projects
  • Debugging
  • Std
  • 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
        • Vl-loadstate
        • Parser
        • Vl-load-merge-descriptions
        • Scope-of-defines
        • Vl-load-file
        • Vl-flush-out-descriptions
        • Vl-description
        • Vl-loadresult
          • Vl-loadresult-fix
          • Vl-loadresult-equiv
          • Make-vl-loadresult
          • Vl-loadresult->filemap
          • Vl-loadresult->design
          • Vl-loadresult->defines
          • Change-vl-loadresult
          • Vl-loadresult-p
        • 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-loadresult

Vl-loadresult-equiv

Basic equivalence relation for vl-loadresult structures.

Definitions and Theorems

Function: vl-loadresult-equiv$inline

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

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

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

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

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

Theorem: vl-loadresult-fix-under-vl-loadresult-equiv

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

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

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

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

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

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

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

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

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