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Reserr-option-some

Reserr-option-some->val

Get the val field from a reserr-option-some.

Signature
(reserr-option-some->val x) → val
Arguments: x — Guard (reserr-optionp x).
Returns: val — Type (reserrp val).

This is an ordinary field accessor created by defprod.

Definitions and Theorems

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

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

Theorem: reserrp-of-reserr-option-some->val

(defthm reserrp-of-reserr-option-some->val
  (b* ((val (reserr-option-some->val$inline x)))
    (reserrp val))
  :rule-classes :rewrite)

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

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

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

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

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

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