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Certificate

Certificate->transactions

Get the transactions field from a certificate.

Signature
(certificate->transactions x) → transactions
Arguments: x — Guard (certificatep x).
Returns: transactions — Type (transaction-listp transactions).

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

Definitions and Theorems

Function: certificate->transactions$inline

(defun certificate->transactions$inline (x)
  (declare (xargs :guard (certificatep x)))
  (declare (xargs :guard t))
  (let ((__function__ 'certificate->transactions))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (transaction-list-fix (cdr (std::da-nth 2 x))))
         :exec (cdr (std::da-nth 2 x)))))

Theorem: transaction-listp-of-certificate->transactions

(defthm transaction-listp-of-certificate->transactions
  (b* ((transactions (certificate->transactions$inline x)))
    (transaction-listp transactions))
  :rule-classes :rewrite)

Theorem: certificate->transactions$inline-of-certificate-fix-x

(defthm certificate->transactions$inline-of-certificate-fix-x
  (equal (certificate->transactions$inline (certificate-fix x))
         (certificate->transactions$inline x)))

Theorem: certificate->transactions$inline-certificate-equiv-congruence-on-x

(defthm
 certificate->transactions$inline-certificate-equiv-congruence-on-x
 (implies (certificate-equiv x x-equiv)
          (equal (certificate->transactions$inline x)
                 (certificate->transactions$inline x-equiv)))
 :rule-classes :congruence)