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Svar

Svar->props

Get the props field from a svar.

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

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: svar->props$inline

(defun svar->props$inline (x)
 (declare (xargs :guard (svar-p x)))
 (declare (xargs :guard t))
 (let ((__function__ 'svar->props))
  (declare (ignorable __function__))
  (mbe
   :logic
   (b* ((x (and t x)))
     (svar-proplist-fix (if (atom x)
                            nil
                          (b* ((rest (cddr x))
                               ((when (integerp rest)) nil)
                               ((when (integerp (first rest))) nil))
                            (cddr rest)))))
   :exec
   (if (atom x)
       nil
     (b* ((rest (cddr x))
          ((when (integerp rest)) nil)
          ((when (integerp (first rest))) nil))
       (cddr rest))))))

Theorem: svar-proplist-p-of-svar->props

(defthm svar-proplist-p-of-svar->props
  (b* ((props (svar->props$inline x)))
    (svar-proplist-p props))
  :rule-classes :rewrite)

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

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

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

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