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Character-kinds

Ucletter-char-p

Recognize uppercase ASCII letters.

Definitions and Theorems

Function: ucletter-char-p

(defun ucletter-char-p (x)
  (declare (xargs :guard t))
  (and (characterp x)
       (b* ((code (char-code x)))
         (and (<= (char-code #\A) code)
              (<= code (char-code #\Z))))))

Theorem: booleanp-of-ucletter-char-p

(defthm booleanp-of-ucletter-char-p
  (booleanp (ucletter-char-p x))
  :rule-classes :type-prescription)

Theorem: characterp-when-ucletter-char-p

(defthm characterp-when-ucletter-char-p
  (implies (ucletter-char-p x)
           (characterp x))
  :rule-classes :compound-recognizer)

Subtopics

Ucletter-charlist-p: (ucletter-charlist-p x) recognizes lists where every element satisfies ucletter-char-p.
Ucletter-chars: A character set for ucletter-char-p.