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Validator-state

Validator-state->dag

Get the dag field from a validator-state.

Signature
(validator-state->dag x) → dag
Arguments: x — Guard (validator-statep x).
Returns: dag — Type (certificate-setp dag).

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

Definitions and Theorems

Function: validator-state->dag$inline

(defun validator-state->dag$inline (x)
  (declare (xargs :guard (validator-statep x)))
  (declare (xargs :guard t))
  (let ((__function__ 'validator-state->dag))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (certificate-set-fix (cdr (std::da-nth 1 x))))
         :exec (cdr (std::da-nth 1 x)))))

Theorem: certificate-setp-of-validator-state->dag

(defthm certificate-setp-of-validator-state->dag
  (b* ((dag (validator-state->dag$inline x)))
    (certificate-setp dag))
  :rule-classes :rewrite)

Theorem: validator-state->dag$inline-of-validator-state-fix-x

(defthm validator-state->dag$inline-of-validator-state-fix-x
  (equal (validator-state->dag$inline (validator-state-fix x))
         (validator-state->dag$inline x)))

Theorem: validator-state->dag$inline-validator-state-equiv-congruence-on-x

(defthm
  validator-state->dag$inline-validator-state-equiv-congruence-on-x
  (implies (validator-state-equiv x x-equiv)
           (equal (validator-state->dag$inline x)
                  (validator-state->dag$inline x-equiv)))
  :rule-classes :congruence)