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• Bfrstate

Bfrstate->mode

Access the bfr-mode field of a bfrstate object.

Signature

(bfrstate->mode x) → mode

Arguments

x — Guard (bfrstate-p x).

Returns

mode — Type (bfr-mode-p mode).

Definitions and Theorems

Function: bfrstate->mode$inline

(defun bfrstate->mode$inline (x)
  (declare (xargs :guard (bfrstate-p x)))
  (let ((__function__ 'bfrstate->mode))
    (declare (ignorable __function__))
    (logand 3 (bfrstate-fix x))))

Theorem: bfr-mode-p-of-bfrstate->mode

(defthm bfr-mode-p-of-bfrstate->mode
  (b* ((mode (bfrstate->mode$inline x)))
    (bfr-mode-p mode))
  :rule-classes :rewrite)

Theorem: bfrstate->mode-of-bfrstate

(defthm bfrstate->mode-of-bfrstate
  (equal (bfrstate->mode (bfrstate mode bound))
         (bfr-mode-fix mode)))

Theorem: bfrstate->mode$inline-of-bfrstate-fix-x

(defthm bfrstate->mode$inline-of-bfrstate-fix-x
  (equal (bfrstate->mode$inline (bfrstate-fix x))
         (bfrstate->mode$inline x)))

Theorem: bfrstate->mode$inline-bfrstate-equiv-congruence-on-x

(defthm bfrstate->mode$inline-bfrstate-equiv-congruence-on-x
  (implies (bfrstate-equiv x x-equiv)
           (equal (bfrstate->mode$inline x)
                  (bfrstate->mode$inline x-equiv)))
  :rule-classes :congruence)