• Top
  • Documentation
  • Books
  • Boolean-reasoning
  • Projects
  • Debugging
  • Community
  • Std
  • Proof-automation
  • Macro-libraries
  • ACL2
  • Interfacing-tools
  • Hardware-verification
    • Gl
    • Esim
    • Vl2014
    • Sv
      • Svex-stvs
      • Svex-decomposition-methodology
      • Sv-versus-esim
      • Svex-decomp
      • Svex-compose-dfs
      • Svex-compilation
      • Moddb
      • Svmods
        • Address
        • Wire
          • Wire-fix
          • Wire-p
          • Make-wire
          • Wire-equiv
          • Change-wire
          • Wire->name
          • Wire->low-idx
          • Wire->delay
          • Wire->width
          • Wire->type
          • Wire->atts
          • Wirelist
            • Wirelist-fix
            • Wirelist->names
            • Wirelist-p
              • Wirelist-p-basics
            • Wirelist-find
            • Wirelist-equiv
          • Wire->revp
          • Wiretype
        • Module
        • Lhs
        • Path
        • Svar-add-namespace
        • Design
        • Modinst
        • Lhs-add-namespace
        • Modalist
        • Path-add-namespace
        • Modname->submodnames
        • Name
        • Constraintlist-addr-p
        • Svex-alist-addr-p
        • Svar-map-addr-p
        • Lhspairs-addr-p
        • Modname
        • Assigns-addr-p
        • Lhs-addr-p
        • Lhatom-addr-p
        • Modhier-list-measure
        • Attributes
        • Modhier-measure
        • Modhier-list-measure-aux
        • Modhier-loopfreelist-p
        • Modhier-loopfree-p
      • Svstmt
      • Sv-tutorial
      • Expressions
      • Symbolic-test-vector
      • Vl-to-svex
    • Fgl
    • Vwsim
    • Vl
    • X86isa
    • Svl
    • Rtl
  • Software-verification
  • Math
  • Testing-utilities

• Wirelist-p

Wirelist-p-basics

Basic theorems about wirelist-p, generated by std::deflist.

Definitions and Theorems

Theorem: wirelist-p-of-cons

(defthm wirelist-p-of-cons
  (equal (wirelist-p (cons acl2::a x))
         (and (wire-p acl2::a) (wirelist-p x)))
  :rule-classes ((:rewrite)))

Theorem: wirelist-p-of-cdr-when-wirelist-p

(defthm wirelist-p-of-cdr-when-wirelist-p
  (implies (wirelist-p (double-rewrite x))
           (wirelist-p (cdr x)))
  :rule-classes ((:rewrite)))

Theorem: wirelist-p-when-not-consp

(defthm wirelist-p-when-not-consp
  (implies (not (consp x))
           (equal (wirelist-p x) (not x)))
  :rule-classes ((:rewrite)))

Theorem: wire-p-of-car-when-wirelist-p

(defthm wire-p-of-car-when-wirelist-p
  (implies (wirelist-p x)
           (iff (wire-p (car x))
                (or (consp x) (wire-p nil))))
  :rule-classes ((:rewrite)))

Theorem: true-listp-when-wirelist-p-compound-recognizer

(defthm true-listp-when-wirelist-p-compound-recognizer
  (implies (wirelist-p x) (true-listp x))
  :rule-classes :compound-recognizer)

Theorem: wirelist-p-of-list-fix

(defthm wirelist-p-of-list-fix
  (implies (wirelist-p x)
           (wirelist-p (list-fix x)))
  :rule-classes ((:rewrite)))

Theorem: wirelist-p-of-rev

(defthm wirelist-p-of-rev
  (equal (wirelist-p (rev x))
         (wirelist-p (list-fix x)))
  :rule-classes ((:rewrite)))

Theorem: wirelist-p-of-repeat

(defthm wirelist-p-of-repeat
  (iff (wirelist-p (repeat acl2::n x))
       (or (wire-p x) (zp acl2::n)))
  :rule-classes ((:rewrite)))

Theorem: wirelist-p-of-append

(defthm wirelist-p-of-append
  (equal (wirelist-p (append acl2::a acl2::b))
         (and (wirelist-p (list-fix acl2::a))
              (wirelist-p acl2::b)))
  :rule-classes ((:rewrite)))

Theorem: wirelist-p-of-take

(defthm wirelist-p-of-take
  (implies (wirelist-p (double-rewrite x))
           (iff (wirelist-p (take acl2::n x))
                (or (wire-p nil)
                    (<= (nfix acl2::n) (len x)))))
  :rule-classes ((:rewrite)))

Theorem: wirelist-p-of-butlast

(defthm wirelist-p-of-butlast
  (implies (wirelist-p (double-rewrite x))
           (wirelist-p (butlast x acl2::n)))
  :rule-classes ((:rewrite)))