• 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
      • Transforms
      • Lint
      • Mlib
        • Scopestack
        • Filtering-by-name
        • Vl-namefactory
          • Vl-namefactory-p
          • Vl-namefactory-fix
          • Vl-namefactory-equiv
          • Make-vl-namefactory
          • Vl-namefactory->namedb
          • Vl-namefactory->mod
          • Change-vl-namefactory
        • Substitution
        • Allexprs
        • Hid-tools
        • Vl-consteval
        • Range-tools
        • Lvalexprs
        • Hierarchy
        • Finding-by-name
        • Expr-tools
        • Expr-slicing
        • Stripping-functions
        • Stmt-tools
        • Modnamespace
        • Vl-parse-expr-from-str
        • Welltyped
        • Reordering-by-name
        • Flat-warnings
        • Genblob
        • Expr-building
        • Datatype-tools
        • Syscalls
        • Relocate
        • Expr-cleaning
        • Namemangle
        • Caremask
        • Port-tools
        • Lvalues
      • Server
      • Kit
      • Printer
      • Esim-vl
      • Well-formedness
    • Sv
    • Vwsim
    • Fgl
    • Vl
    • X86isa
    • Svl
    • Rtl
  • Software-verification
  • Math
  • Testing-utilities

• Vl-namefactory

Vl-namefactory-fix

Fixing function for vl-namefactory structures.

Signature

(vl-namefactory-fix x) → new-x

Arguments

x — Guard (vl-namefactory-p x).

Returns

new-x — Type (vl-namefactory-p new-x).

Definitions and Theorems

Function: vl-namefactory-fix$inline

(defun vl-namefactory-fix$inline (x)
  (declare (xargs :guard (vl-namefactory-p x)))
  (let ((__function__ 'vl-namefactory-fix))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((mod (vl-maybe-module-fix (std::prod-car (cdr x))))
              (namedb (vl-namedb-fix (std::prod-cdr (cdr x)))))
           (let ((namedb (vl-namefactory-namedb-fix mod namedb)))
             (cons :vl-namefactory (std::prod-cons mod namedb))))
         :exec x)))

Theorem: vl-namefactory-p-of-vl-namefactory-fix

(defthm vl-namefactory-p-of-vl-namefactory-fix
  (b* ((new-x (vl-namefactory-fix$inline x)))
    (vl-namefactory-p new-x))
  :rule-classes :rewrite)

Theorem: vl-namefactory-fix-when-vl-namefactory-p

(defthm vl-namefactory-fix-when-vl-namefactory-p
  (implies (vl-namefactory-p x)
           (equal (vl-namefactory-fix x) x)))

Function: vl-namefactory-equiv$inline

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

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

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

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

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

Theorem: vl-namefactory-fix-under-vl-namefactory-equiv

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

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

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

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

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

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

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

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

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