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Svar

Svar->delay

Get the delay field from a svar.

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

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: svar->delay$inline

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

Theorem: natp-of-svar->delay

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

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

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

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

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