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A4veclist/svex-env-list-eval

Signature
(a4veclist/svex-env-list-eval x envs svexes svars boolmasks) → 4vecs
Arguments: x — Guard (a4veclistlist-p x).; envs — Guard (svex-envlist-p envs).; svexes — Guard (svexlist-p svexes).; svars — Guard (svarlist-p svars).; boolmasks — Guard (svar-boolmasks-p boolmasks).
Returns: 4vecs — Type (4veclistlist-p 4vecs).

Definitions and Theorems

Function: a4veclist/svex-env-list-eval

(defun a4veclist/svex-env-list-eval (x envs svexes svars boolmasks)
 (declare (xargs :guard (and (a4veclistlist-p x)
                             (svex-envlist-p envs)
                             (svexlist-p svexes)
                             (svarlist-p svars)
                             (svar-boolmasks-p boolmasks))))
 (declare
  (xargs
       :guard
       (and (equal (len envs) (len x))
            (svex-maskbits-ok svars (svexlist-mask-alist svexes)))))
 (let ((__function__ 'a4veclist/svex-env-list-eval))
   (declare (ignorable __function__))
   (if (atom x)
       nil
     (cons (a4vec/svex-env-eval (car x)
                                (car envs)
                                svexes svars boolmasks)
           (a4veclist/svex-env-list-eval (cdr x)
                                         (cdr envs)
                                         svexes svars boolmasks)))))

Theorem: 4veclistlist-p-of-a4veclist/svex-env-list-eval

(defthm 4veclistlist-p-of-a4veclist/svex-env-list-eval
 (b*
  ((4vecs
      (a4veclist/svex-env-list-eval x envs svexes svars boolmasks)))
  (4veclistlist-p 4vecs))
 :rule-classes :rewrite)

Theorem: a4veclist/svex-env-list-eval-correct

(defthm a4veclist/svex-env-list-eval-correct
 (b*
  ((masks (svexlist-mask-alist svexes))
   ((mv ?err a4env)
    (svex-varmasks->a4env svars masks boolmasks1))
   (x (svexlistlist->a4vec some-svexes a4env masks))
   (?4vecs
      (a4veclist/svex-env-list-eval x envs svexes svars boolmasks)))
  (implies
   (and
    (svex-maskbits-ok svars masks)
    (equal (len envs) (len some-svexes))
    (subsetp (append-lists some-svexes)
             svexes)
    (equal boolmasks
           (svar-boolmasks-fix boolmasks1))
    (svex-envlist-check-boolmasks boolmasks envs)
    (subsetp
      (intersection-equal (svexlist-vars (append-lists some-svexes))
                          (svex-envlist-keyset envs))
      (svarlist-fix svars)))
   (equal 4vecs
          (svexlist/env-list-eval some-svexes envs)))))

Theorem: a4veclist/svex-env-list-eval-of-a4veclistlist-fix-x

(defthm a4veclist/svex-env-list-eval-of-a4veclistlist-fix-x
 (equal
      (a4veclist/svex-env-list-eval (a4veclistlist-fix x)
                                    envs svexes svars boolmasks)
      (a4veclist/svex-env-list-eval x envs svexes svars boolmasks)))

Theorem: a4veclist/svex-env-list-eval-a4veclistlist-equiv-congruence-on-x

(defthm
   a4veclist/svex-env-list-eval-a4veclistlist-equiv-congruence-on-x
 (implies
   (a4veclistlist-equiv x x-equiv)
   (equal
        (a4veclist/svex-env-list-eval x envs svexes svars boolmasks)
        (a4veclist/svex-env-list-eval
             x-equiv envs svexes svars boolmasks)))
 :rule-classes :congruence)

Theorem: a4veclist/svex-env-list-eval-of-svexlist-fix-svexes

(defthm a4veclist/svex-env-list-eval-of-svexlist-fix-svexes
 (equal
      (a4veclist/svex-env-list-eval x envs (svexlist-fix svexes)
                                    svars boolmasks)
      (a4veclist/svex-env-list-eval x envs svexes svars boolmasks)))

Theorem: a4veclist/svex-env-list-eval-svexlist-equiv-congruence-on-svexes

(defthm
   a4veclist/svex-env-list-eval-svexlist-equiv-congruence-on-svexes
 (implies
   (svexlist-equiv svexes svexes-equiv)
   (equal
        (a4veclist/svex-env-list-eval x envs svexes svars boolmasks)
        (a4veclist/svex-env-list-eval
             x envs svexes-equiv svars boolmasks)))
 :rule-classes :congruence)

Theorem: a4veclist/svex-env-list-eval-of-svarlist-fix-svars

(defthm a4veclist/svex-env-list-eval-of-svarlist-fix-svars
 (equal
    (a4veclist/svex-env-list-eval x envs svexes (svarlist-fix svars)
                                  boolmasks)
    (a4veclist/svex-env-list-eval x envs svexes svars boolmasks)))

Theorem: a4veclist/svex-env-list-eval-svarlist-equiv-congruence-on-svars

(defthm
    a4veclist/svex-env-list-eval-svarlist-equiv-congruence-on-svars
 (implies
   (svarlist-equiv svars svars-equiv)
   (equal
        (a4veclist/svex-env-list-eval x envs svexes svars boolmasks)
        (a4veclist/svex-env-list-eval
             x envs svexes svars-equiv boolmasks)))
 :rule-classes :congruence)