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States32

Error32p

Check if the error flag in the state is set.

Signature
(error32p stat) → yes/no
Arguments: stat — Guard (state32p stat).
Returns: yes/no — Type (booleanp yes/no).

Definitions and Theorems

Function: error32p

(defun error32p (stat)
  (declare (xargs :guard (state32p stat)))
  (let ((__function__ 'error32p))
    (declare (ignorable __function__))
    (state32->error stat)))

Theorem: booleanp-of-error32p

(defthm booleanp-of-error32p
  (b* ((yes/no (error32p stat)))
    (booleanp yes/no))
  :rule-classes :rewrite)

Theorem: error32p-of-state32-fix-stat

(defthm error32p-of-state32-fix-stat
  (equal (error32p (state32-fix stat))
         (error32p stat)))

Theorem: error32p-state32-equiv-congruence-on-stat

(defthm error32p-state32-equiv-congruence-on-stat
  (implies (state32-equiv stat stat-equiv)
           (equal (error32p stat)
                  (error32p stat-equiv)))
  :rule-classes :congruence)