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Message-proposal

Message-proposal->proposal

Get the proposal field from a message-proposal.

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

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

Definitions and Theorems

Function: message-proposal->proposal$inline

(defun message-proposal->proposal$inline (x)
  (declare (xargs :guard (messagep x)))
  (declare (xargs :guard (equal (message-kind x) :proposal)))
  (let ((__function__ 'message-proposal->proposal))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and (equal (message-kind x) :proposal)
                      x)))
           (proposal-fix (std::da-nth 0 (cdr x))))
         :exec (std::da-nth 0 (cdr x)))))

Theorem: proposalp-of-message-proposal->proposal

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

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

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

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

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

Theorem: message-proposal->proposal-when-wrong-kind

(defthm message-proposal->proposal-when-wrong-kind
  (implies (not (equal (message-kind x) :proposal))
           (equal (message-proposal->proposal x)
                  (proposal-fix nil))))