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Message

Message->certificate

Get the certificate field from a message.

Signature
(message->certificate x) → certificate
Arguments: x — Guard (messagep x).
Returns: certificate — Type (certificatep certificate).

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

Definitions and Theorems

Function: message->certificate$inline

(defun message->certificate$inline (x)
  (declare (xargs :guard (messagep x)))
  (declare (xargs :guard t))
  (let ((__function__ 'message->certificate))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (certificate-fix (cdr (std::da-nth 0 x))))
         :exec (cdr (std::da-nth 0 x)))))

Theorem: certificatep-of-message->certificate

(defthm certificatep-of-message->certificate
  (b* ((certificate (message->certificate$inline x)))
    (certificatep certificate))
  :rule-classes :rewrite)

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

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

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

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