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• Unicode-characters

Unicode-list

Fixtype of lists of Java Unicode characters.

Values of this type model Java strings, at a more essential and abstract level than instances of the class java.lang.String.

Theorem: unicode-listp-forward-unsigned-byte-listp

(defthm unicode-listp-forward-unsigned-byte-listp
  (implies (unicode-listp x)
           (unsigned-byte-listp 16 x))
  :rule-classes :forward-chaining)

Theorem: unicode-listp-rewrite-unsigned-byte-listp

(defthm unicode-listp-rewrite-unsigned-byte-listp
  (equal (unicode-listp x)
         (unsigned-byte-listp 16 x)))

Theorem: unsigned-byte-listp-rewrite-unicode-listp

(defthm unsigned-byte-listp-rewrite-unicode-listp
  (equal (unsigned-byte-listp 16 x)
         (unicode-listp x)))

Theorem: true-listp-when-unicode-listp-rewrite

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

Theorem: unicode-list-fix-of-take

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

Theorem: unicode-list-fix-of-rcons

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

Subtopics

Unicode-list-fix

(unicode-list-fix x) is a usual ACL2::fty list fixing function.

Unicode-list-equiv

Basic equivalence relation for unicode-list structures.

Unicode-listp

(unicode-listp x) recognizes lists where every element satisfies unicodep.