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• Abstract-syntax-operations

Get-type-sum

Return the type sum that defines a type, if any.

Signature

(get-type-sum type tops) → tprod

Arguments

type — Guard (typep type).

tops — Guard (toplevel-listp tops).

Returns

tprod — Type (maybe-type-sump tprod).

Definitions and Theorems

Function: get-type-sum

(defun get-type-sum (type tops)
  (declare (xargs :guard (and (typep type)
                              (toplevel-listp tops))))
  (let ((__function__ 'get-type-sum))
    (declare (ignorable __function__))
    (type-case type :boolean nil :character nil :string
               nil :integer nil :set nil :sequence
               nil :map nil :option nil :defined
               (b* ((typedef (get-type-definition type.name tops))
                    ((when (not typedef)) nil)
                    (definer (type-definition->body typedef))
                    ((when (not definer)) nil))
                 (type-definer-case definer
                                    :product nil
                                    :sum definer.get
                                    :subset nil)))))

Theorem: maybe-type-sump-of-get-type-sum

(defthm maybe-type-sump-of-get-type-sum
  (b* ((tprod (get-type-sum type tops)))
    (maybe-type-sump tprod))
  :rule-classes :rewrite)

Theorem: get-type-sum-of-type-fix-type

(defthm get-type-sum-of-type-fix-type
  (equal (get-type-sum (type-fix type) tops)
         (get-type-sum type tops)))

Theorem: get-type-sum-type-equiv-congruence-on-type

(defthm get-type-sum-type-equiv-congruence-on-type
  (implies (type-equiv type type-equiv)
           (equal (get-type-sum type tops)
                  (get-type-sum type-equiv tops)))
  :rule-classes :congruence)

Theorem: get-type-sum-of-toplevel-list-fix-tops

(defthm get-type-sum-of-toplevel-list-fix-tops
  (equal (get-type-sum type (toplevel-list-fix tops))
         (get-type-sum type tops)))

Theorem: get-type-sum-toplevel-list-equiv-congruence-on-tops

(defthm get-type-sum-toplevel-list-equiv-congruence-on-tops
  (implies (toplevel-list-equiv tops tops-equiv)
           (equal (get-type-sum type tops)
                  (get-type-sum type tops-equiv)))
  :rule-classes :congruence)