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• Binary

Bin-digit-char-p

Recognizer for characters #\0 and #\1.

Signature

(bin-digit-char-p x) → bool

(bin-digit-char-p x) is the binary alternative to dec-digit-char-p.

Definitions and Theorems

Function: bin-digit-char-p$inline

(defun bin-digit-char-p$inline (x)
  (declare (xargs :guard t))
  (let ((acl2::__function__ 'bin-digit-char-p))
    (declare (ignorable acl2::__function__))
    (or (eql x #\0) (eql x #\1))))

Theorem: ichareqv-implies-equal-bin-digit-char-p-1

(defthm ichareqv-implies-equal-bin-digit-char-p-1
  (implies (ichareqv x x-equiv)
           (equal (bin-digit-char-p x)
                  (bin-digit-char-p x-equiv)))
  :rule-classes (:congruence))

Theorem: characterp-when-bin-digit-char-p

(defthm characterp-when-bin-digit-char-p
  (implies (bin-digit-char-p char)
           (characterp char))
  :rule-classes :compound-recognizer)

Subtopics

Bin-digit-char

Fixtype of binary digit characters.