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Fconst

Fconstp

Recognizer for fconst structures.

Signature
(fconstp x) → *

Definitions and Theorems

Function: fconstp

(defun fconstp (x)
  (declare (xargs :guard t))
  (and (consp x)
       (cond ((or (atom x) (eq (car x) :dec))
              (and (consp (cdr x))
                   (b* ((core (car (cdr x)))
                        (suffix? (cdr (cdr x))))
                     (and (dec-core-fconstp core)
                          (fsuffix-optionp suffix?)))))
             (t (and (eq (car x) :hex)
                     (and (consp (cdr x))
                          (consp (cdr (cdr x))))
                     (b* ((prefix (car (cdr x)))
                          (core (car (cdr (cdr x))))
                          (suffix? (cdr (cdr (cdr x)))))
                       (and (hprefixp prefix)
                            (hex-core-fconstp core)
                            (fsuffix-optionp suffix?))))))))

Theorem: consp-when-fconstp

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