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Dirdeclor-array-star

Dirdeclor-array-star->declor

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

Signature
(dirdeclor-array-star->declor x) → declor
Arguments: x — Guard (dirdeclorp x).
Returns: declor — Type (dirdeclorp declor).

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

Definitions and Theorems

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

(defun dirdeclor-array-star->declor$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)))
         (dirdeclor-fix (car (cdr x))))
       :exec (car (cdr x))))

Theorem: dirdeclorp-of-dirdeclor-array-star->declor

(defthm dirdeclorp-of-dirdeclor-array-star->declor
  (b* ((declor (dirdeclor-array-star->declor$inline x)))
    (dirdeclorp declor))
  :rule-classes :rewrite)

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

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

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

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

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

(defthm dirdeclor-array-star->declor-when-wrong-kind
  (implies (not (equal (dirdeclor-kind x) :array-star))
           (equal (dirdeclor-array-star->declor x)
                  (dirdeclor-fix nil))))