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Svar

Svar->bits

Get the bits field from a svar.

Signature
(svar->bits x) → bits
Arguments: x — Guard (svar-p x).
Returns: bits — Type (integerp bits).

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: svar->bits$inline

(defun svar->bits$inline (x)
  (declare (xargs :guard (svar-p x)))
  (declare (xargs :guard t))
  (let ((__function__ 'svar->bits))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (ifix (if (atom x)
                     0
                   (b* ((rest (cddr x))
                        ((when (integerp rest))
                         (logtail 4 rest))
                        ((when (integerp (first rest)))
                         (cdr rest)))
                     (cdr (second rest))))))
         :exec
         (if (atom x)
             0
           (b* ((rest (cddr x))
                ((when (integerp rest))
                 (logtail 4 rest))
                ((when (integerp (first rest)))
                 (cdr rest)))
             (cdr (second rest)))))))

Theorem: integerp-of-svar->bits

(defthm integerp-of-svar->bits
  (b* ((bits (svar->bits$inline x)))
    (integerp bits))
  :rule-classes :rewrite)

Theorem: svar->bits$inline-of-svar-fix-x

(defthm svar->bits$inline-of-svar-fix-x
  (equal (svar->bits$inline (svar-fix x))
         (svar->bits$inline x)))

Theorem: svar->bits$inline-svar-equiv-congruence-on-x

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