• 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
      • Warnings
      • Getting-started
      • Utilities
      • Printer
      • Kit
      • Mlib
        • Scopestack
        • Hid-tools
          • Vl-follow-hidexpr
          • Vl-index-expr-typetrace
          • Vl-follow-scopeexpr
          • Vl-follow-hidexpr-dimscheck
          • Vl-datatype-resolve-selects
          • Vl-datatype-remove-dim
          • Vl-operandinfo
          • Vl-follow-hidexpr-dimcheck
          • Vl-follow-data-selects
          • Vl-follow-hidexpr-error
          • Vl-hidstep
          • Vl-scopestack-find-item/ss/path
          • Vl-follow-array-indices
          • Vl-scopecontext
            • Vl-scopecontext-fix
            • Vl-scopecontext-case
            • Vl-scopecontext-equiv
            • Vl-scopecontext-p
            • Vl-scopecontext-local
            • Vl-scopecontext-package
            • Vl-scopecontext-module
            • Vl-scopecontext-interface
            • Vl-scopecontext-class
            • Vl-scopecontext-kind
            • Vl-scopecontext-root
          • Vl-datatype-set-unsigned
          • Vl-selstep
          • Vl-scopestack-find-elabpath
          • Vl-hid-prefix-for-subhid
          • Vl-find-structmember
          • Vl-select
          • Vl-scopeexpr-replace-hid
          • Vl-genblocklist-find-block
          • Vl-partselect-width
          • Vl-seltrace->indices
          • Vl-datatype->structmembers
          • Vl-hidexpr-resolved-p
          • Vl-operandinfo->indices
          • Vl-flatten-hidindex
          • Vl-subhid-p
          • Vl-seltrace-usertypes-ok
          • Vl-flatten-hidexpr
          • Vl-scopeexpr->hid
          • Vl-seltrace-index-count
          • Vl-operandinfo-usertypes-ok
          • Vl-operandinfo-index-count
          • Vl-datatype-dims-count
          • Vl-scopeexpr-index-count
          • Vl-hidexpr-index-count
          • Vl-usertype-lookup
          • Vl-hidindex-resolved-p
          • Vl-scopeexpr-resolved-p
          • Vl-selstep-usertypes-ok
          • Vl-hidtrace
          • Vl-seltrace
          • Vl-scopedef-interface-p
        • Filtering-by-name
        • Vl-interface-mocktype
        • Stripping-functions
        • Genblob
        • Expr-tools
        • Extract-vl-types
        • Hierarchy
        • Range-tools
        • Finding-by-name
        • Stmt-tools
        • Modnamespace
        • Flat-warnings
        • Reordering-by-name
        • Datatype-tools
        • Syscalls
        • Allexprs
        • Lvalues
        • Port-tools
      • Transforms
    • X86isa
    • Svl
    • Rtl
  • Software-verification
  • Math
  • Testing-utilities

• Vl-scopecontext

Vl-scopecontext-equiv

Basic equivalence relation for vl-scopecontext structures.

Definitions and Theorems

Function: vl-scopecontext-equiv$inline

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

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

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

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

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

Theorem: vl-scopecontext-fix-under-vl-scopecontext-equiv

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

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

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

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

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

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

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

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

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