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Absdeclor

Absdeclor->pointers

Get the pointers field from a absdeclor.

Signature
(absdeclor->pointers x) → pointers
Arguments: x — Guard (absdeclorp x).
Returns: pointers — Type (typequal/attribspec-list-listp pointers).

This is an ordinary field accessor created by fty::defprod.

Definitions and Theorems

Function: absdeclor->pointers$inline

(defun absdeclor->pointers$inline (x)
  (declare (xargs :guard (absdeclorp x)))
  (declare (xargs :guard t))
  (mbe :logic
       (b* ((x (and t x)))
         (typequal/attribspec-list-list-fix (car x)))
       :exec (car x)))

Theorem: typequal/attribspec-list-listp-of-absdeclor->pointers

(defthm typequal/attribspec-list-listp-of-absdeclor->pointers
  (b* ((pointers (absdeclor->pointers$inline x)))
    (typequal/attribspec-list-listp pointers))
  :rule-classes :rewrite)

Theorem: absdeclor->pointers$inline-of-absdeclor-fix-x

(defthm absdeclor->pointers$inline-of-absdeclor-fix-x
  (equal (absdeclor->pointers$inline (absdeclor-fix x))
         (absdeclor->pointers$inline x)))

Theorem: absdeclor->pointers$inline-absdeclor-equiv-congruence-on-x

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