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Certificate

Certificate->previous

Get the previous field from a certificate.

Signature
(certificate->previous x) → previous
Arguments: x — Guard (certificatep x).
Returns: previous — Type (address-setp previous).

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

Definitions and Theorems

Function: certificate->previous$inline

(defun certificate->previous$inline (x)
  (declare (xargs :guard (certificatep x)))
  (declare (xargs :guard t))
  (let ((__function__ 'certificate->previous))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (address-set-fix (cdr (std::da-nth 3 x))))
         :exec (cdr (std::da-nth 3 x)))))

Theorem: address-setp-of-certificate->previous

(defthm address-setp-of-certificate->previous
  (b* ((previous (certificate->previous$inline x)))
    (address-setp previous))
  :rule-classes :rewrite)

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

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

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

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