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Trans-state

Trans-state->tops

Get the tops field from a trans-state.

Signature
(trans-state->tops x) → tops
Arguments: x — Guard (trans-statep x).
Returns: tops — Type (toplevel-listp tops).

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

Definitions and Theorems

Function: trans-state->tops$inline

(defun trans-state->tops$inline (x)
  (declare (xargs :guard (trans-statep x)))
  (declare (xargs :guard t))
  (let ((__function__ 'trans-state->tops))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (toplevel-list-fix (cdr (std::da-nth 0 x))))
         :exec (cdr (std::da-nth 0 x)))))

Theorem: toplevel-listp-of-trans-state->tops

(defthm toplevel-listp-of-trans-state->tops
  (b* ((tops (trans-state->tops$inline x)))
    (toplevel-listp tops))
  :rule-classes :rewrite)

Theorem: trans-state->tops$inline-of-trans-state-fix-x

(defthm trans-state->tops$inline-of-trans-state-fix-x
  (equal (trans-state->tops$inline (trans-state-fix x))
         (trans-state->tops$inline x)))

Theorem: trans-state->tops$inline-trans-state-equiv-congruence-on-x

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