• Top
  • Documentation
  • Books
  • Boolean-reasoning
  • Projects
  • Debugging
  • Community
  • Std
    • Std/lists
    • Omaps
    • Std/alists
    • Obags
    • Std/util
    • Std/strings
    • Std/osets
    • Std/io
    • Std/basic
    • Std/system
    • Std/typed-lists
      • Std/typed-lists/character-listp
      • Std/typed-lists/symbol-listp
      • Std/typed-lists/boolean-listp
      • Std/typed-lists/string-listp
      • Std/typed-lists/eqlable-listp
      • Theorems-about-true-list-lists
      • Std/typed-lists/atom-listp
      • Unsigned-byte-listp
        • Defbytelist
          • Defbytelist-standard-instances
            • Ubyte8-list
            • Ubyte4-list
            • Ubyte32-list
            • Ubyte256-list
            • Ubyte128-list
            • Ubyte64-list
            • Ubyte3-list
              • Ubyte3-list-fix
              • Ubyte3-list-equiv
              • Ubyte3-listp
            • Ubyte2-list
            • Ubyte16-list
            • Ubyte11-list
            • Ubyte1-list
            • Sbyte8-list
            • Sbyte64-list
            • Sbyte4-list
            • Sbyte32-list
            • Sbyte3-list
            • Sbyte256-list
            • Sbyte2-list
            • Sbyte16-list
            • Sbyte128-list
            • Sbyte1-list
            • Defubytelist
            • Defsbytelist
          • Defbytelist-implementation
        • Unsigned-byte-list-fix
      • Cons-listp
      • Cons-list-listp
      • Signed-byte-listp
      • String-or-symbol-listp
    • Std/bitsets
    • Std/testing
    • Std/typed-alists
    • Std/stobjs
  • Proof-automation
  • Macro-libraries
  • ACL2
  • Interfacing-tools
  • Hardware-verification
  • Software-verification
  • Math
  • Testing-utilities

• Defbytelist-standard-instances

Ubyte3-list

Fixtype of true lists of unsigned bytes of size 3.

This is an ordinary fty::deflist.

Theorem: ubyte3-listp-forward-unsigned-byte-listp

(defthm ubyte3-listp-forward-unsigned-byte-listp
  (implies (ubyte3-listp x)
           (unsigned-byte-listp 3 x))
  :rule-classes :forward-chaining)

Theorem: ubyte3-listp-rewrite-unsigned-byte-listp

(defthm ubyte3-listp-rewrite-unsigned-byte-listp
  (equal (ubyte3-listp x)
         (unsigned-byte-listp 3 x)))

Theorem: unsigned-byte-listp-rewrite-ubyte3-listp

(defthm unsigned-byte-listp-rewrite-ubyte3-listp
  (equal (unsigned-byte-listp 3 x)
         (ubyte3-listp x)))

Theorem: true-listp-when-ubyte3-listp-rewrite

(defthm true-listp-when-ubyte3-listp-rewrite
  (implies (ubyte3-listp x)
           (true-listp x)))

Theorem: ubyte3-list-fix-of-take

(defthm ubyte3-list-fix-of-take
  (implies (<= (nfix n) (len x))
           (equal (ubyte3-list-fix (take n x))
                  (take n (ubyte3-list-fix x)))))

Theorem: ubyte3-list-fix-of-rcons

(defthm ubyte3-list-fix-of-rcons
  (equal (ubyte3-list-fix (rcons a x))
         (rcons (ubyte3-fix a)
                (ubyte3-list-fix x))))

Subtopics

Ubyte3-list-fix

(ubyte3-list-fix x) is a usual fty list fixing function.

Ubyte3-list-equiv

Basic equivalence relation for ubyte3-list structures.

Ubyte3-listp

(ubyte3-listp x) recognizes lists where every element satisfies ubyte3p.