Fixing function for command-error structures.
(command-error-fix x) → new-x
Function:
(defun command-error-fix$inline (x) (declare (xargs :guard (command-error-p x))) (let ((__function__ 'command-error-fix)) (declare (ignorable __function__)) (mbe :logic (case (command-error-kind x) (:malformed-mnemonic (b* ((mnemonic (acl2::str-fix (std::da-nth 0 (cdr x))))) (cons :malformed-mnemonic (list mnemonic)))) (:malformed-passphrase (b* ((passphrase (acl2::str-fix (std::da-nth 0 (cdr x))))) (cons :malformed-passphrase (list passphrase)))) (:malformed-entropy (b* ((entropy (acl2::str-fix (std::da-nth 0 (cdr x))))) (cons :malformed-entropy (list entropy)))) (:malformed-nonce (b* ((nonce (acl2::str-fix (std::da-nth 0 (cdr x))))) (cons :malformed-nonce (list nonce)))) (:malformed-gas-price (b* ((gas-price (acl2::str-fix (std::da-nth 0 (cdr x))))) (cons :malformed-gas-price (list gas-price)))) (:malformed-gas-limit (b* ((gas-limit (acl2::str-fix (std::da-nth 0 (cdr x))))) (cons :malformed-gas-limit (list gas-limit)))) (:malformed-to (b* ((to (acl2::str-fix (std::da-nth 0 (cdr x))))) (cons :malformed-to (list to)))) (:malformed-value (b* ((value (acl2::str-fix (std::da-nth 0 (cdr x))))) (cons :malformed-value (list value)))) (:malformed-data (b* ((data (acl2::str-fix (std::da-nth 0 (cdr x))))) (cons :malformed-data (list data)))) (:malformed-address-key-index (b* ((address-key-index (acl2::str-fix (std::da-nth 0 (cdr x))))) (cons :malformed-address-key-index (list address-key-index)))) (:address-key-index-too-large (b* ((address-key-index (nfix (std::da-nth 0 (cdr x)))) (limit (nfix (std::da-nth 1 (cdr x))))) (cons :address-key-index-too-large (list address-key-index limit)))) (:address-key-index-skipped (b* ((address-key-index (nfix (std::da-nth 0 (cdr x))))) (cons :address-key-index-skipped (list address-key-index)))) (:root-key-derivation-fail (cons :root-key-derivation-fail (list))) (:purpose-key-derivation-fail (cons :purpose-key-derivation-fail (list))) (:coin-type-key-derivation-fail (cons :coin-type-key-derivation-fail (list))) (:account-key-derivation-fail (cons :account-key-derivation-fail (list))) (:external-chain-key-derivation-fail (cons :external-chain-key-derivation-fail (list))) (:address-key-derivation-fail (b* ((address-key-index (nfix (std::da-nth 0 (cdr x))))) (cons :address-key-derivation-fail (list address-key-index)))) (:address-key-index-limit (cons :address-key-index-limit (list))) (:pretransaction-rlp-fail (cons :pretransaction-rlp-fail (list))) (:transaction-sign-fail (cons :transaction-sign-fail (list))) (:transaction-rlp-fail (cons :transaction-rlp-fail (list))) (:state-file-untestable (cons :state-file-untestable (list))) (:state-file-absent (cons :state-file-absent (list))) (:state-file-present (cons :state-file-present (list))) (:state-file-not-regular (cons :state-file-not-regular (list))) (:state-file-malformed (cons :state-file-malformed (list))) (:wrong-number-of-arguments (b* ((required (nfix (std::da-nth 0 (cdr x)))) (given (nfix (std::da-nth 1 (cdr x))))) (cons :wrong-number-of-arguments (list required given)))) (:wrong-command (b* ((command (acl2::str-fix (std::da-nth 0 (cdr x))))) (cons :wrong-command (list command)))) (:no-command (cons :no-command (list)))) :exec x)))
Theorem:
(defthm command-error-p-of-command-error-fix (b* ((new-x (command-error-fix$inline x))) (command-error-p new-x)) :rule-classes :rewrite)
Theorem:
(defthm command-error-fix-when-command-error-p (implies (command-error-p x) (equal (command-error-fix x) x)))
Function:
(defun command-error-equiv$inline (acl2::x acl2::y) (declare (xargs :guard (and (command-error-p acl2::x) (command-error-p acl2::y)))) (equal (command-error-fix acl2::x) (command-error-fix acl2::y)))
Theorem:
(defthm command-error-equiv-is-an-equivalence (and (booleanp (command-error-equiv x y)) (command-error-equiv x x) (implies (command-error-equiv x y) (command-error-equiv y x)) (implies (and (command-error-equiv x y) (command-error-equiv y z)) (command-error-equiv x z))) :rule-classes (:equivalence))
Theorem:
(defthm command-error-equiv-implies-equal-command-error-fix-1 (implies (command-error-equiv acl2::x x-equiv) (equal (command-error-fix acl2::x) (command-error-fix x-equiv))) :rule-classes (:congruence))
Theorem:
(defthm command-error-fix-under-command-error-equiv (command-error-equiv (command-error-fix acl2::x) acl2::x) :rule-classes (:rewrite :rewrite-quoted-constant))
Theorem:
(defthm equal-of-command-error-fix-1-forward-to-command-error-equiv (implies (equal (command-error-fix acl2::x) acl2::y) (command-error-equiv acl2::x acl2::y)) :rule-classes :forward-chaining)
Theorem:
(defthm equal-of-command-error-fix-2-forward-to-command-error-equiv (implies (equal acl2::x (command-error-fix acl2::y)) (command-error-equiv acl2::x acl2::y)) :rule-classes :forward-chaining)
Theorem:
(defthm command-error-equiv-of-command-error-fix-1-forward (implies (command-error-equiv (command-error-fix acl2::x) acl2::y) (command-error-equiv acl2::x acl2::y)) :rule-classes :forward-chaining)
Theorem:
(defthm command-error-equiv-of-command-error-fix-2-forward (implies (command-error-equiv acl2::x (command-error-fix acl2::y)) (command-error-equiv acl2::x acl2::y)) :rule-classes :forward-chaining)
Theorem:
(defthm command-error-kind$inline-of-command-error-fix-x (equal (command-error-kind$inline (command-error-fix x)) (command-error-kind$inline x)))
Theorem:
(defthm command-error-kind$inline-command-error-equiv-congruence-on-x (implies (command-error-equiv x x-equiv) (equal (command-error-kind$inline x) (command-error-kind$inline x-equiv))) :rule-classes :congruence)
Theorem:
(defthm consp-of-command-error-fix (consp (command-error-fix x)) :rule-classes :type-prescription)