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Enum-spec

Enum-spec->list

Get the list field from a enum-spec.

Signature
(enum-spec->list x) → list
Arguments: x — Guard (enum-specp x).
Returns: list — Type (enumer-listp list).

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

Definitions and Theorems

Function: enum-spec->list$inline

(defun enum-spec->list$inline (x)
  (declare (xargs :guard (enum-specp x)))
  (declare (xargs :guard t))
  (mbe :logic
       (b* ((x (and t x)))
         (enumer-list-fix (car (cdr x))))
       :exec (car (cdr x))))

Theorem: enumer-listp-of-enum-spec->list

(defthm enumer-listp-of-enum-spec->list
  (b* ((list (enum-spec->list$inline x)))
    (enumer-listp list))
  :rule-classes :rewrite)

Theorem: enum-spec->list$inline-of-enum-spec-fix-x

(defthm enum-spec->list$inline-of-enum-spec-fix-x
  (equal (enum-spec->list$inline (enum-spec-fix x))
         (enum-spec->list$inline x)))

Theorem: enum-spec->list$inline-enum-spec-equiv-congruence-on-x

(defthm enum-spec->list$inline-enum-spec-equiv-congruence-on-x
  (implies (enum-spec-equiv x x-equiv)
           (equal (enum-spec->list$inline x)
                  (enum-spec->list$inline x-equiv)))
  :rule-classes :congruence)