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• Dirdeclor-array-static1

Dirdeclor-array-static1->qualspecs

Get the qualspecs field from a dirdeclor-array-static1.

Signature

(dirdeclor-array-static1->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-static1->qualspecs$inline

(defun dirdeclor-array-static1->qualspecs$inline (x)
  (declare (xargs :guard (dirdeclorp x)))
  (declare (xargs :guard (equal (dirdeclor-kind x)
                                :array-static1)))
  (mbe :logic
       (b* ((x (and (equal (dirdeclor-kind x)
                           :array-static1)
                    x)))
         (typequal/attribspec-list-fix (car (cdr (cdr x)))))
       :exec (car (cdr (cdr x)))))

Theorem: typequal/attribspec-listp-of-dirdeclor-array-static1->qualspecs

(defthm
    typequal/attribspec-listp-of-dirdeclor-array-static1->qualspecs
  (b* ((qualspecs (dirdeclor-array-static1->qualspecs$inline x)))
    (typequal/attribspec-listp qualspecs))
  :rule-classes :rewrite)

Theorem: dirdeclor-array-static1->qualspecs$inline-of-dirdeclor-fix-x

(defthm dirdeclor-array-static1->qualspecs$inline-of-dirdeclor-fix-x
  (equal
       (dirdeclor-array-static1->qualspecs$inline (dirdeclor-fix x))
       (dirdeclor-array-static1->qualspecs$inline x)))

Theorem: dirdeclor-array-static1->qualspecs$inline-dirdeclor-equiv-congruence-on-x

(defthm
 dirdeclor-array-static1->qualspecs$inline-dirdeclor-equiv-congruence-on-x
 (implies
      (dirdeclor-equiv x x-equiv)
      (equal (dirdeclor-array-static1->qualspecs$inline x)
             (dirdeclor-array-static1->qualspecs$inline x-equiv)))
 :rule-classes :congruence)

Theorem: dirdeclor-array-static1->qualspecs-when-wrong-kind

(defthm dirdeclor-array-static1->qualspecs-when-wrong-kind
  (implies (not (equal (dirdeclor-kind x)
                       :array-static1))
           (equal (dirdeclor-array-static1->qualspecs x)
                  (typequal/attribspec-list-fix nil))))