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• Outcome-transformation-success

Outcome-transformation-success->toplevels

Get the toplevels field from a outcome-transformation-success.

Signature

(outcome-transformation-success->toplevels x) → toplevels

Arguments

x — Guard (outcomep x).

Returns

toplevels — Type (toplevel-listp toplevels).

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

Definitions and Theorems

Function: outcome-transformation-success->toplevels$inline

(defun outcome-transformation-success->toplevels$inline (x)
  (declare (xargs :guard (outcomep x)))
  (declare (xargs :guard (equal (outcome-kind x)
                                :transformation-success)))
  (let ((__function__ 'outcome-transformation-success->toplevels))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and (equal (outcome-kind x)
                             :transformation-success)
                      x)))
           (toplevel-list-fix (std::da-nth 1 (cdr x))))
         :exec (std::da-nth 1 (cdr x)))))

Theorem: toplevel-listp-of-outcome-transformation-success->toplevels

(defthm toplevel-listp-of-outcome-transformation-success->toplevels
 (b*
  ((toplevels (outcome-transformation-success->toplevels$inline x)))
  (toplevel-listp toplevels))
 :rule-classes :rewrite)

Theorem: outcome-transformation-success->toplevels$inline-of-outcome-fix-x

(defthm
  outcome-transformation-success->toplevels$inline-of-outcome-fix-x
 (equal
  (outcome-transformation-success->toplevels$inline (outcome-fix x))
  (outcome-transformation-success->toplevels$inline x)))

Theorem: outcome-transformation-success->toplevels$inline-outcome-equiv-congruence-on-x

(defthm
 outcome-transformation-success->toplevels$inline-outcome-equiv-congruence-on-x
 (implies
   (outcome-equiv x x-equiv)
   (equal
        (outcome-transformation-success->toplevels$inline x)
        (outcome-transformation-success->toplevels$inline x-equiv)))
 :rule-classes :congruence)

Theorem: outcome-transformation-success->toplevels-when-wrong-kind

(defthm outcome-transformation-success->toplevels-when-wrong-kind
  (implies (not (equal (outcome-kind x)
                       :transformation-success))
           (equal (outcome-transformation-success->toplevels x)
                  (toplevel-list-fix nil))))