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Pointer-valid

Pointer-valid->get

Get the get field from a pointer-valid.

Signature
(pointer-valid->get x) → get
Arguments: x — Guard (pointerp x).
Returns: get — Type (objdesignp get).

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

Definitions and Theorems

Function: pointer-valid->get$inline

(defun pointer-valid->get$inline (x)
  (declare (xargs :guard (pointerp x)))
  (declare (xargs :guard (equal (pointer-kind x) :valid)))
  (let ((__function__ 'pointer-valid->get))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and (equal (pointer-kind x) :valid)
                      x)))
           (objdesign-fix (std::da-nth 0 (cdr x))))
         :exec (std::da-nth 0 (cdr x)))))

Theorem: objdesignp-of-pointer-valid->get

(defthm objdesignp-of-pointer-valid->get
  (b* ((get (pointer-valid->get$inline x)))
    (objdesignp get))
  :rule-classes :rewrite)

Theorem: pointer-valid->get$inline-of-pointer-fix-x

(defthm pointer-valid->get$inline-of-pointer-fix-x
  (equal (pointer-valid->get$inline (pointer-fix x))
         (pointer-valid->get$inline x)))

Theorem: pointer-valid->get$inline-pointer-equiv-congruence-on-x

(defthm pointer-valid->get$inline-pointer-equiv-congruence-on-x
  (implies (pointer-equiv x x-equiv)
           (equal (pointer-valid->get$inline x)
                  (pointer-valid->get$inline x-equiv)))
  :rule-classes :congruence)

Theorem: pointer-valid->get-when-wrong-kind

(defthm pointer-valid->get-when-wrong-kind
  (implies (not (equal (pointer-kind x) :valid))
           (equal (pointer-valid->get x)
                  (objdesign-fix nil))))