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Rlp-error

Rlp-error-fix

Fixing function for rlp-error structures.

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

Definitions and Theorems

Function: rlp-error-fix$inline

(defun rlp-error-fix$inline (x)
 (declare (xargs :guard (rlp-error-p x)))
 (let ((__function__ 'rlp-error-fix))
  (declare (ignorable __function__))
  (mbe
   :logic
   (case (rlp-error-kind x)
     (:no-bytes (cons :no-bytes (list)))
     (:fewer-bytes-than-short-length
          (b* ((fragment (byte-list-fix (std::da-nth 0 (cdr x))))
               (required (nfix (std::da-nth 1 (cdr x))))
               (available (nfix (std::da-nth 2 (cdr x)))))
            (cons :fewer-bytes-than-short-length
                  (list fragment required available))))
     (:fewer-bytes-than-length-of-length
          (b* ((fragment (byte-list-fix (std::da-nth 0 (cdr x))))
               (required (nfix (std::da-nth 1 (cdr x))))
               (available (nfix (std::da-nth 2 (cdr x)))))
            (cons :fewer-bytes-than-length-of-length
                  (list fragment required available))))
     (:fewer-bytes-than-long-length
          (b* ((fragment (byte-list-fix (std::da-nth 0 (cdr x))))
               (required (nfix (std::da-nth 1 (cdr x))))
               (available (nfix (std::da-nth 2 (cdr x)))))
            (cons :fewer-bytes-than-long-length
                  (list fragment required available))))
     (:leading-zeros-in-long-length
          (b* ((fragment (byte-list-fix (std::da-nth 0 (cdr x)))))
            (cons :leading-zeros-in-long-length (list fragment))))
     (:non-optimal-short-length
          (b* ((fragment (byte-list-fix (std::da-nth 0 (cdr x)))))
            (cons :non-optimal-short-length (list fragment))))
     (:non-optimal-long-length
          (b* ((fragment (byte-list-fix (std::da-nth 0 (cdr x)))))
            (cons :non-optimal-long-length (list fragment))))
     (:subtree (b* ((error (rlp-error-fix (std::da-nth 0 (cdr x)))))
                 (cons :subtree (list error))))
     (:extra-bytes
          (b* ((bytes (byte-list-fix (std::da-nth 0 (cdr x)))))
            (cons :extra-bytes (list bytes))))
     (:branch-tree
          (b* ((fragment (byte-list-fix (std::da-nth 0 (cdr x)))))
            (cons :branch-tree (list fragment))))
     (:leading-zeros-in-scalar
          (b* ((bytes (byte-list-fix (std::da-nth 0 (cdr x)))))
            (cons :leading-zeros-in-scalar (list bytes)))))
   :exec x)))

Theorem: rlp-error-p-of-rlp-error-fix

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

Theorem: rlp-error-fix-when-rlp-error-p

(defthm rlp-error-fix-when-rlp-error-p
  (implies (rlp-error-p x)
           (equal (rlp-error-fix x) x)))

Function: rlp-error-equiv$inline

(defun rlp-error-equiv$inline (acl2::x acl2::y)
  (declare (xargs :guard (and (rlp-error-p acl2::x)
                              (rlp-error-p acl2::y))))
  (equal (rlp-error-fix acl2::x)
         (rlp-error-fix acl2::y)))

Theorem: rlp-error-equiv-is-an-equivalence

(defthm rlp-error-equiv-is-an-equivalence
  (and (booleanp (rlp-error-equiv x y))
       (rlp-error-equiv x x)
       (implies (rlp-error-equiv x y)
                (rlp-error-equiv y x))
       (implies (and (rlp-error-equiv x y)
                     (rlp-error-equiv y z))
                (rlp-error-equiv x z)))
  :rule-classes (:equivalence))

Theorem: rlp-error-equiv-implies-equal-rlp-error-fix-1

(defthm rlp-error-equiv-implies-equal-rlp-error-fix-1
  (implies (rlp-error-equiv acl2::x x-equiv)
           (equal (rlp-error-fix acl2::x)
                  (rlp-error-fix x-equiv)))
  :rule-classes (:congruence))

Theorem: rlp-error-fix-under-rlp-error-equiv

(defthm rlp-error-fix-under-rlp-error-equiv
  (rlp-error-equiv (rlp-error-fix acl2::x)
                   acl2::x)
  :rule-classes (:rewrite :rewrite-quoted-constant))

Theorem: equal-of-rlp-error-fix-1-forward-to-rlp-error-equiv

(defthm equal-of-rlp-error-fix-1-forward-to-rlp-error-equiv
  (implies (equal (rlp-error-fix acl2::x) acl2::y)
           (rlp-error-equiv acl2::x acl2::y))
  :rule-classes :forward-chaining)

Theorem: equal-of-rlp-error-fix-2-forward-to-rlp-error-equiv

(defthm equal-of-rlp-error-fix-2-forward-to-rlp-error-equiv
  (implies (equal acl2::x (rlp-error-fix acl2::y))
           (rlp-error-equiv acl2::x acl2::y))
  :rule-classes :forward-chaining)

Theorem: rlp-error-equiv-of-rlp-error-fix-1-forward

(defthm rlp-error-equiv-of-rlp-error-fix-1-forward
  (implies (rlp-error-equiv (rlp-error-fix acl2::x)
                            acl2::y)
           (rlp-error-equiv acl2::x acl2::y))
  :rule-classes :forward-chaining)

Theorem: rlp-error-equiv-of-rlp-error-fix-2-forward

(defthm rlp-error-equiv-of-rlp-error-fix-2-forward
  (implies (rlp-error-equiv acl2::x (rlp-error-fix acl2::y))
           (rlp-error-equiv acl2::x acl2::y))
  :rule-classes :forward-chaining)

Theorem: rlp-error-kind$inline-of-rlp-error-fix-x

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

Theorem: rlp-error-kind$inline-rlp-error-equiv-congruence-on-x

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

Theorem: consp-of-rlp-error-fix

(defthm consp-of-rlp-error-fix
  (consp (rlp-error-fix x))
  :rule-classes :type-prescription)