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Output-checking

Check-output-item

Check an output item.

Signature
(check-output-item outitem env) → type
Arguments: outitem — Guard (output-itemp outitem).; env — Guard (senvp env).
Returns: type — Type (type-resultp type).

We check the underlying output expression, returning its type.

Definitions and Theorems

Function: check-output-item

(defun check-output-item (outitem env)
  (declare (xargs :guard (and (output-itemp outitem)
                              (senvp env))))
  (let ((__function__ 'check-output-item))
    (declare (ignorable __function__))
    (check-output-expression (output-item->get outitem)
                             env)))

Theorem: type-resultp-of-check-output-item

(defthm type-resultp-of-check-output-item
  (b* ((type (check-output-item outitem env)))
    (type-resultp type))
  :rule-classes :rewrite)

Theorem: check-output-item-of-output-item-fix-outitem

(defthm check-output-item-of-output-item-fix-outitem
  (equal (check-output-item (output-item-fix outitem)
                            env)
         (check-output-item outitem env)))

Theorem: check-output-item-output-item-equiv-congruence-on-outitem

(defthm check-output-item-output-item-equiv-congruence-on-outitem
  (implies (output-item-equiv outitem outitem-equiv)
           (equal (check-output-item outitem env)
                  (check-output-item outitem-equiv env)))
  :rule-classes :congruence)

Theorem: check-output-item-of-senv-fix-env

(defthm check-output-item-of-senv-fix-env
  (equal (check-output-item outitem (senv-fix env))
         (check-output-item outitem env)))

Theorem: check-output-item-senv-equiv-congruence-on-env

(defthm check-output-item-senv-equiv-congruence-on-env
  (implies (senv-equiv env env-equiv)
           (equal (check-output-item outitem env)
                  (check-output-item outitem env-equiv)))
  :rule-classes :congruence)