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• Input-checking

Check-input-section-list

Check a list of input sections.

Signature

(check-input-section-list insecs params env) → new-params

Arguments

insecs — Guard (input-section-listp insecs).

params — Guard (funparam-listp params).

env — Guard (senvp env).

Returns

new-params — Type (funparam-list-resultp new-params).

Definitions and Theorems

Function: check-input-section-list

(defun check-input-section-list (insecs params env)
  (declare (xargs :guard (and (input-section-listp insecs)
                              (funparam-listp params)
                              (senvp env))))
  (let ((__function__ 'check-input-section-list))
    (declare (ignorable __function__))
    (b* (((when (endp insecs))
          (funparam-list-fix params))
         ((okf params)
          (check-input-section (car insecs)
                               params env)))
      (check-input-section-list (cdr insecs)
                                params env))))

Theorem: funparam-list-resultp-of-check-input-section-list

(defthm funparam-list-resultp-of-check-input-section-list
  (b* ((new-params (check-input-section-list insecs params env)))
    (funparam-list-resultp new-params))
  :rule-classes :rewrite)

Theorem: check-input-section-list-of-input-section-list-fix-insecs

(defthm check-input-section-list-of-input-section-list-fix-insecs
  (equal (check-input-section-list (input-section-list-fix insecs)
                                   params env)
         (check-input-section-list insecs params env)))

Theorem: check-input-section-list-input-section-list-equiv-congruence-on-insecs

(defthm
 check-input-section-list-input-section-list-equiv-congruence-on-insecs
 (implies
      (input-section-list-equiv insecs insecs-equiv)
      (equal (check-input-section-list insecs params env)
             (check-input-section-list insecs-equiv params env)))
 :rule-classes :congruence)

Theorem: check-input-section-list-of-funparam-list-fix-params

(defthm check-input-section-list-of-funparam-list-fix-params
  (equal (check-input-section-list insecs (funparam-list-fix params)
                                   env)
         (check-input-section-list insecs params env)))

Theorem: check-input-section-list-funparam-list-equiv-congruence-on-params

(defthm
  check-input-section-list-funparam-list-equiv-congruence-on-params
  (implies
       (funparam-list-equiv params params-equiv)
       (equal (check-input-section-list insecs params env)
              (check-input-section-list insecs params-equiv env)))
  :rule-classes :congruence)

Theorem: check-input-section-list-of-senv-fix-env

(defthm check-input-section-list-of-senv-fix-env
  (equal (check-input-section-list insecs params (senv-fix env))
         (check-input-section-list insecs params env)))

Theorem: check-input-section-list-senv-equiv-congruence-on-env

(defthm check-input-section-list-senv-equiv-congruence-on-env
  (implies
       (senv-equiv env env-equiv)
       (equal (check-input-section-list insecs params env)
              (check-input-section-list insecs params env-equiv)))
  :rule-classes :congruence)