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Declon-declon

Declon-declon->declors

Get the declors field from a declon-declon.

Signature
(declon-declon->declors x) → declors
Arguments: x — Guard (declonp x).
Returns: declors — Type (init-declor-listp declors).

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

Definitions and Theorems

Function: declon-declon->declors$inline

(defun declon-declon->declors$inline (x)
  (declare (xargs :guard (declonp x)))
  (declare (xargs :guard (equal (declon-kind x) :declon)))
  (mbe :logic
       (b* ((x (and (equal (declon-kind x) :declon)
                    x)))
         (init-declor-list-fix (cdr (cdr (cdr x)))))
       :exec (cdr (cdr (cdr x)))))

Theorem: init-declor-listp-of-declon-declon->declors

(defthm init-declor-listp-of-declon-declon->declors
  (b* ((declors (declon-declon->declors$inline x)))
    (init-declor-listp declors))
  :rule-classes :rewrite)

Theorem: declon-declon->declors$inline-of-declon-fix-x

(defthm declon-declon->declors$inline-of-declon-fix-x
  (equal (declon-declon->declors$inline (declon-fix x))
         (declon-declon->declors$inline x)))

Theorem: declon-declon->declors$inline-declon-equiv-congruence-on-x

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

Theorem: declon-declon->declors-when-wrong-kind

(defthm declon-declon->declors-when-wrong-kind
  (implies (not (equal (declon-kind x) :declon))
           (equal (declon-declon->declors x)
                  (init-declor-list-fix nil))))