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States64

Error64p

Check if the error flag in the state is set.

Signature
(error64p stat) → yes/no
Arguments: stat — Guard (state64p stat).
Returns: yes/no — Type (booleanp yes/no).

Definitions and Theorems

Function: error64p

(defun error64p (stat)
  (declare (xargs :guard (state64p stat)))
  (let ((__function__ 'error64p))
    (declare (ignorable __function__))
    (state64->error stat)))

Theorem: booleanp-of-error64p

(defthm booleanp-of-error64p
  (b* ((yes/no (error64p stat)))
    (booleanp yes/no))
  :rule-classes :rewrite)

Theorem: error64p-of-state64-fix-stat

(defthm error64p-of-state64-fix-stat
  (equal (error64p (state64-fix stat))
         (error64p stat)))

Theorem: error64p-state64-equiv-congruence-on-stat

(defthm error64p-state64-equiv-congruence-on-stat
  (implies (state64-equiv stat stat-equiv)
           (equal (error64p stat)
                  (error64p stat-equiv)))
  :rule-classes :congruence)