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Numeric-value

Numeric-valuep

Recognizer for numeric-value structures.

Signature
(numeric-valuep acl2::x) → *

Definitions and Theorems

Function: numeric-valuep

(defun numeric-valuep (acl2::x)
  (declare (xargs :guard t))
  (let ((__function__ 'numeric-valuep))
    (declare (ignorable __function__))
    (cond ((char-valuep acl2::x)
           (b* ((get acl2::x)) (char-valuep get)))
          ((byte-valuep acl2::x)
           (b* ((get acl2::x)) (byte-valuep get)))
          ((short-valuep acl2::x)
           (b* ((get acl2::x)) (short-valuep get)))
          ((int-valuep acl2::x)
           (b* ((get acl2::x)) (int-valuep get)))
          ((long-valuep acl2::x)
           (b* ((get acl2::x)) (long-valuep get)))
          ((float-valuep acl2::x)
           (b* ((get acl2::x)) (float-valuep get)))
          (t (b* ((get acl2::x))
               (double-valuep get))))))

Theorem: consp-when-numeric-valuep

(defthm consp-when-numeric-valuep
  (implies (numeric-valuep acl2::x)
           (consp acl2::x))
  :rule-classes :compound-recognizer)