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• Dirabsdeclor-array-static2

Dirabsdeclor-array-static2->qualspecs

Get the qualspecs field from a dirabsdeclor-array-static2.

Signature

(dirabsdeclor-array-static2->qualspecs x) → qualspecs

Arguments

x — Guard (dirabsdeclorp x).

Returns

qualspecs — Type (typequal/attribspec-listp qualspecs).

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

Definitions and Theorems

Function: dirabsdeclor-array-static2->qualspecs$inline

(defun dirabsdeclor-array-static2->qualspecs$inline (x)
  (declare (xargs :guard (dirabsdeclorp x)))
  (declare (xargs :guard (equal (dirabsdeclor-kind x)
                                :array-static2)))
  (mbe :logic
       (b* ((x (and (equal (dirabsdeclor-kind x)
                           :array-static2)
                    x)))
         (typequal/attribspec-list-fix (car (cdr (cdr x)))))
       :exec (car (cdr (cdr x)))))

Theorem: typequal/attribspec-listp-of-dirabsdeclor-array-static2->qualspecs

(defthm
 typequal/attribspec-listp-of-dirabsdeclor-array-static2->qualspecs
 (b* ((qualspecs (dirabsdeclor-array-static2->qualspecs$inline x)))
   (typequal/attribspec-listp qualspecs))
 :rule-classes :rewrite)

Theorem: dirabsdeclor-array-static2->qualspecs$inline-of-dirabsdeclor-fix-x

(defthm
 dirabsdeclor-array-static2->qualspecs$inline-of-dirabsdeclor-fix-x
 (equal (dirabsdeclor-array-static2->qualspecs$inline
             (dirabsdeclor-fix x))
        (dirabsdeclor-array-static2->qualspecs$inline x)))

Theorem: dirabsdeclor-array-static2->qualspecs$inline-dirabsdeclor-equiv-congruence-on-x

(defthm
 dirabsdeclor-array-static2->qualspecs$inline-dirabsdeclor-equiv-congruence-on-x
 (implies
     (dirabsdeclor-equiv x x-equiv)
     (equal (dirabsdeclor-array-static2->qualspecs$inline x)
            (dirabsdeclor-array-static2->qualspecs$inline x-equiv)))
 :rule-classes :congruence)

Theorem: dirabsdeclor-array-static2->qualspecs-when-wrong-kind

(defthm dirabsdeclor-array-static2->qualspecs-when-wrong-kind
  (implies (not (equal (dirabsdeclor-kind x)
                       :array-static2))
           (equal (dirabsdeclor-array-static2->qualspecs x)
                  (typequal/attribspec-list-fix nil))))