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Rlp-error-subtree

Rlp-error-subtree->error

Get the error field from a rlp-error-subtree.

Signature
(rlp-error-subtree->error x) → error
Arguments: x — Guard (rlp-error-p x).
Returns: error — Type (rlp-error-p error).

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

Definitions and Theorems

Function: rlp-error-subtree->error$inline

(defun rlp-error-subtree->error$inline (x)
  (declare (xargs :guard (rlp-error-p x)))
  (declare (xargs :guard (equal (rlp-error-kind x) :subtree)))
  (let ((__function__ 'rlp-error-subtree->error))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and (equal (rlp-error-kind x) :subtree)
                      x)))
           (rlp-error-fix (std::da-nth 0 (cdr x))))
         :exec (std::da-nth 0 (cdr x)))))

Theorem: rlp-error-p-of-rlp-error-subtree->error

(defthm rlp-error-p-of-rlp-error-subtree->error
  (b* ((error (rlp-error-subtree->error$inline x)))
    (rlp-error-p error))
  :rule-classes :rewrite)

Theorem: rlp-error-subtree->error$inline-of-rlp-error-fix-x

(defthm rlp-error-subtree->error$inline-of-rlp-error-fix-x
  (equal (rlp-error-subtree->error$inline (rlp-error-fix x))
         (rlp-error-subtree->error$inline x)))

Theorem: rlp-error-subtree->error$inline-rlp-error-equiv-congruence-on-x

(defthm
    rlp-error-subtree->error$inline-rlp-error-equiv-congruence-on-x
  (implies (rlp-error-equiv x x-equiv)
           (equal (rlp-error-subtree->error$inline x)
                  (rlp-error-subtree->error$inline x-equiv)))
  :rule-classes :congruence)

Theorem: rlp-error-subtree->error-when-wrong-kind

(defthm rlp-error-subtree->error-when-wrong-kind
  (implies (not (equal (rlp-error-kind x) :subtree))
           (equal (rlp-error-subtree->error x)
                  (rlp-error-fix nil))))