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Doublex-value-fns

Doublex-valuep

Recognizer of Java double values in the double-extended-exponent value set.

Signature
(doublex-valuep x) → yes/no
Returns: yes/no — Type (booleanp yes/no).

Definitions and Theorems

Function: doublex-valuep

(defun doublex-valuep (x)
  (declare (xargs :guard t))
  (let ((__function__ 'doublex-valuep))
    (declare (ignorable __function__))
    (and (tuplep 2 x)
         (eq (first x) :doublex)
         (doublex-value-abs-p (second x)))))

Theorem: booleanp-of-doublex-valuep

(defthm booleanp-of-doublex-valuep
  (b* ((yes/no (doublex-valuep x)))
    (booleanp yes/no))
  :rule-classes :rewrite)

Theorem: no-doublex-value-when-unsupported

(defthm no-doublex-value-when-unsupported
  (implies (not (doublex-param))
           (not (doublex-valuep x))))