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Ext-declon-obj-declon

Ext-declon-obj-declon->get

Get the get field from a ext-declon-obj-declon.

Signature
(ext-declon-obj-declon->get x) → get
Arguments: x — Guard (ext-declonp x).
Returns: get — Type (obj-declonp get).

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

Definitions and Theorems

Function: ext-declon-obj-declon->get$inline

(defun ext-declon-obj-declon->get$inline (x)
  (declare (xargs :guard (ext-declonp x)))
  (declare (xargs :guard (equal (ext-declon-kind x)
                                :obj-declon)))
  (mbe :logic
       (b* ((x (and (equal (ext-declon-kind x) :obj-declon)
                    x)))
         (obj-declon-fix (std::da-nth 0 (cdr x))))
       :exec (std::da-nth 0 (cdr x))))

Theorem: obj-declonp-of-ext-declon-obj-declon->get

(defthm obj-declonp-of-ext-declon-obj-declon->get
  (b* ((get (ext-declon-obj-declon->get$inline x)))
    (obj-declonp get))
  :rule-classes :rewrite)

Theorem: ext-declon-obj-declon->get$inline-of-ext-declon-fix-x

(defthm ext-declon-obj-declon->get$inline-of-ext-declon-fix-x
  (equal (ext-declon-obj-declon->get$inline (ext-declon-fix x))
         (ext-declon-obj-declon->get$inline x)))

Theorem: ext-declon-obj-declon->get$inline-ext-declon-equiv-congruence-on-x

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

Theorem: ext-declon-obj-declon->get-when-wrong-kind

(defthm ext-declon-obj-declon->get-when-wrong-kind
  (implies (not (equal (ext-declon-kind x) :obj-declon))
           (equal (ext-declon-obj-declon->get x)
                  (obj-declon-fix nil))))