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Dirdeclor-array-star

Dirdeclor-array-star->qualspecs

Get the qualspecs field from a dirdeclor-array-star.

Signature
(dirdeclor-array-star->qualspecs x) → qualspecs
Arguments: x — Guard (dirdeclorp x).
Returns: qualspecs — Type (typequal/attribspec-listp qualspecs).

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

Definitions and Theorems

Function: dirdeclor-array-star->qualspecs$inline

(defun dirdeclor-array-star->qualspecs$inline (x)
  (declare (xargs :guard (dirdeclorp x)))
  (declare (xargs :guard (equal (dirdeclor-kind x) :array-star)))
  (mbe :logic
       (b* ((x (and (equal (dirdeclor-kind x) :array-star)
                    x)))
         (typequal/attribspec-list-fix (cdr (cdr x))))
       :exec (cdr (cdr x))))

Theorem: typequal/attribspec-listp-of-dirdeclor-array-star->qualspecs

(defthm typequal/attribspec-listp-of-dirdeclor-array-star->qualspecs
  (b* ((qualspecs (dirdeclor-array-star->qualspecs$inline x)))
    (typequal/attribspec-listp qualspecs))
  :rule-classes :rewrite)

Theorem: dirdeclor-array-star->qualspecs$inline-of-dirdeclor-fix-x

(defthm dirdeclor-array-star->qualspecs$inline-of-dirdeclor-fix-x
  (equal (dirdeclor-array-star->qualspecs$inline (dirdeclor-fix x))
         (dirdeclor-array-star->qualspecs$inline x)))

Theorem: dirdeclor-array-star->qualspecs$inline-dirdeclor-equiv-congruence-on-x

(defthm
 dirdeclor-array-star->qualspecs$inline-dirdeclor-equiv-congruence-on-x
 (implies (dirdeclor-equiv x x-equiv)
          (equal (dirdeclor-array-star->qualspecs$inline x)
                 (dirdeclor-array-star->qualspecs$inline x-equiv)))
 :rule-classes :congruence)

Theorem: dirdeclor-array-star->qualspecs-when-wrong-kind

(defthm dirdeclor-array-star->qualspecs-when-wrong-kind
  (implies (not (equal (dirdeclor-kind x) :array-star))
           (equal (dirdeclor-array-star->qualspecs x)
                  (typequal/attribspec-list-fix nil))))