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Scratchobj-fgl-objlist

Scratchobj-fgl-objlist->val

Get the val field from a scratchobj-fgl-objlist.

Signature
(scratchobj-fgl-objlist->val x) → val
Arguments: x — Guard (scratchobj-p x).
Returns: val — Type (fgl-objectlist-p val).

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: scratchobj-fgl-objlist->val$inline

(defun scratchobj-fgl-objlist->val$inline (x)
  (declare (xargs :guard (scratchobj-p x)))
  (declare (xargs :guard (equal (scratchobj-kind x)
                                :fgl-objlist)))
  (let ((__function__ 'scratchobj-fgl-objlist->val))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and (equal (scratchobj-kind x) :fgl-objlist)
                      x)))
           (fgl-objectlist-fix (cdr x)))
         :exec (cdr x))))

Theorem: fgl-objectlist-p-of-scratchobj-fgl-objlist->val

(defthm fgl-objectlist-p-of-scratchobj-fgl-objlist->val
  (b* ((val (scratchobj-fgl-objlist->val$inline x)))
    (fgl-objectlist-p val))
  :rule-classes :rewrite)

Theorem: scratchobj-fgl-objlist->val$inline-of-scratchobj-fix-x

(defthm scratchobj-fgl-objlist->val$inline-of-scratchobj-fix-x
  (equal (scratchobj-fgl-objlist->val$inline (scratchobj-fix x))
         (scratchobj-fgl-objlist->val$inline x)))

Theorem: scratchobj-fgl-objlist->val$inline-scratchobj-equiv-congruence-on-x

(defthm
 scratchobj-fgl-objlist->val$inline-scratchobj-equiv-congruence-on-x
 (implies (scratchobj-equiv x x-equiv)
          (equal (scratchobj-fgl-objlist->val$inline x)
                 (scratchobj-fgl-objlist->val$inline x-equiv)))
 :rule-classes :congruence)

Theorem: scratchobj-fgl-objlist->val-when-wrong-kind

(defthm scratchobj-fgl-objlist->val-when-wrong-kind
  (implies (not (equal (scratchobj-kind x)
                       :fgl-objlist))
           (equal (scratchobj-fgl-objlist->val x)
                  (fgl-objectlist-fix nil))))