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• Decimal

Dec-digit-char-list*p

Recognizes lists of dec-digit-char-p characters.

Signature

(dec-digit-char-list*p x) → std::bool

This is an ordinary std::deflist. It is "loose" in that it does not care whether x is nil-terminated.

Definitions and Theorems

Function: dec-digit-char-list*p

(defun dec-digit-char-list*p (x)
  (declare (xargs :guard t))
  (let ((acl2::__function__ 'dec-digit-char-list*p))
    (declare (ignorable acl2::__function__))
    (if (consp x)
        (and (dec-digit-char-p (car x))
             (dec-digit-char-list*p (cdr x)))
      t)))

Theorem: icharlisteqv-implies-equal-dec-digit-char-list*p-1

(defthm icharlisteqv-implies-equal-dec-digit-char-list*p-1
  (implies (icharlisteqv x x-equiv)
           (equal (dec-digit-char-list*p x)
                  (dec-digit-char-list*p x-equiv)))
  :rule-classes (:congruence))

Theorem: character-listp-when-dec-digit-char-list*p

(defthm character-listp-when-dec-digit-char-list*p
  (implies (dec-digit-char-list*p x)
           (equal (character-listp x)
                  (true-listp x)))
  :rule-classes ((:rewrite :backchain-limit-lst 1)))

Subtopics

Dec-digit-char-list*p-basics

Basic theorems about dec-digit-char-list*p, generated by std::deflist.