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Boolean-value

Boolean-valuep

Recognizer for boolean-value structures.

Signature
(boolean-valuep x) → *

Definitions and Theorems

Function: boolean-valuep

(defun boolean-valuep (x)
  (declare (xargs :guard t))
  (let ((__function__ 'boolean-valuep))
    (declare (ignorable __function__))
    (and (consp x)
         (eq (car x) :boolean)
         (true-listp (cdr x))
         (eql (len (cdr x)) 1)
         (b* ((bool (std::da-nth 0 (cdr x))))
           (booleanp bool)))))

Theorem: consp-when-boolean-valuep

(defthm consp-when-boolean-valuep
  (implies (boolean-valuep x) (consp x))
  :rule-classes :compound-recognizer)