		Search-engine friendly clone of the ACL2 documentation.

Finalizer-option-some

Finalizer-option-some->val

Get the fty::val field from a finalizer-option-some.

Signature
(finalizer-option-some->val x) → fty::val
Arguments: x — Guard (finalizer-optionp x).
Returns: fty::val — Type (finalizerp fty::val).

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

Definitions and Theorems

Function: finalizer-option-some->val$inline

(defun finalizer-option-some->val$inline (x)
  (declare (xargs :guard (finalizer-optionp x)))
  (declare (xargs :guard x))
  (let ((__function__ 'finalizer-option-some->val))
    (declare (ignorable __function__))
    (mbe :logic (b* ((x (and x x))) (finalizer-fix x))
         :exec x)))

Theorem: finalizerp-of-finalizer-option-some->val

(defthm finalizerp-of-finalizer-option-some->val
  (b* ((fty::val (finalizer-option-some->val$inline x)))
    (finalizerp fty::val))
  :rule-classes :rewrite)

Theorem: finalizer-option-some->val$inline-of-finalizer-option-fix-x

(defthm finalizer-option-some->val$inline-of-finalizer-option-fix-x
 (equal (finalizer-option-some->val$inline (finalizer-option-fix x))
        (finalizer-option-some->val$inline x)))

Theorem: finalizer-option-some->val$inline-finalizer-option-equiv-congruence-on-x

(defthm
 finalizer-option-some->val$inline-finalizer-option-equiv-congruence-on-x
 (implies (finalizer-option-equiv x x-equiv)
          (equal (finalizer-option-some->val$inline x)
                 (finalizer-option-some->val$inline x-equiv)))
 :rule-classes :congruence)

Theorem: finalizer-option-some->val-when-wrong-kind

(defthm finalizer-option-some->val-when-wrong-kind
  (implies (not x)
           (equal (finalizer-option-some->val x)
                  (finalizer-fix nil))))