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• Resolve-indexing

Vl-assignlist-resolve-indexing

Resolve :vl-index operators throughout a vl-assignlist-p.

Signature

(vl-assignlist-resolve-indexing x ss warnings) 
  → 
(mv warnings new-x)

Arguments

x — Guard (vl-assignlist-p x).

ss — Guard (vl-scopestack-p ss).

warnings — Guard (vl-warninglist-p warnings).

Returns

warnings — Type (vl-warninglist-p warnings).

new-x — Type (vl-assignlist-p new-x).

Definitions and Theorems

Function: vl-assignlist-resolve-indexing

(defun vl-assignlist-resolve-indexing (x ss warnings)
  (declare (xargs :guard (and (vl-assignlist-p x)
                              (vl-scopestack-p ss)
                              (vl-warninglist-p warnings))))
  (let ((__function__ 'vl-assignlist-resolve-indexing))
    (declare (ignorable __function__))
    (b* (((when (atom x)) (mv (ok) nil))
         ((mv warnings car-prime)
          (vl-assign-resolve-indexing (car x)
                                      ss warnings))
         ((mv warnings cdr-prime)
          (vl-assignlist-resolve-indexing (cdr x)
                                          ss warnings)))
      (mv warnings (cons car-prime cdr-prime)))))

Theorem: vl-warninglist-p-of-vl-assignlist-resolve-indexing.warnings

(defthm vl-warninglist-p-of-vl-assignlist-resolve-indexing.warnings
  (b* (((mv ?warnings ?new-x)
        (vl-assignlist-resolve-indexing x ss warnings)))
    (vl-warninglist-p warnings))
  :rule-classes :rewrite)

Theorem: vl-assignlist-p-of-vl-assignlist-resolve-indexing.new-x

(defthm vl-assignlist-p-of-vl-assignlist-resolve-indexing.new-x
  (b* (((mv ?warnings ?new-x)
        (vl-assignlist-resolve-indexing x ss warnings)))
    (vl-assignlist-p new-x))
  :rule-classes :rewrite)

Theorem: true-listp-of-vl-assignlist-resolve-indexing

(defthm true-listp-of-vl-assignlist-resolve-indexing
  (true-listp
       (mv-nth 1
               (vl-assignlist-resolve-indexing x ss warnings)))
  :rule-classes :type-prescription)

Theorem: len-of-vl-assignlist-resolve-indexing

(defthm len-of-vl-assignlist-resolve-indexing
  (equal
       (len (mv-nth 1
                    (vl-assignlist-resolve-indexing x ss warnings)))
       (len x)))

Theorem: vl-assignlist-resolve-indexing-of-vl-assignlist-fix-x

(defthm vl-assignlist-resolve-indexing-of-vl-assignlist-fix-x
  (equal (vl-assignlist-resolve-indexing (vl-assignlist-fix x)
                                         ss warnings)
         (vl-assignlist-resolve-indexing x ss warnings)))

Theorem: vl-assignlist-resolve-indexing-vl-assignlist-equiv-congruence-on-x

(defthm
 vl-assignlist-resolve-indexing-vl-assignlist-equiv-congruence-on-x
 (implies
      (vl-assignlist-equiv x x-equiv)
      (equal (vl-assignlist-resolve-indexing x ss warnings)
             (vl-assignlist-resolve-indexing x-equiv ss warnings)))
 :rule-classes :congruence)

Theorem: vl-assignlist-resolve-indexing-of-vl-scopestack-fix-ss

(defthm vl-assignlist-resolve-indexing-of-vl-scopestack-fix-ss
  (equal (vl-assignlist-resolve-indexing x (vl-scopestack-fix ss)
                                         warnings)
         (vl-assignlist-resolve-indexing x ss warnings)))

Theorem: vl-assignlist-resolve-indexing-vl-scopestack-equiv-congruence-on-ss

(defthm
 vl-assignlist-resolve-indexing-vl-scopestack-equiv-congruence-on-ss
 (implies
      (vl-scopestack-equiv ss ss-equiv)
      (equal (vl-assignlist-resolve-indexing x ss warnings)
             (vl-assignlist-resolve-indexing x ss-equiv warnings)))
 :rule-classes :congruence)

Theorem: vl-assignlist-resolve-indexing-of-vl-warninglist-fix-warnings

(defthm
      vl-assignlist-resolve-indexing-of-vl-warninglist-fix-warnings
  (equal (vl-assignlist-resolve-indexing
              x ss (vl-warninglist-fix warnings))
         (vl-assignlist-resolve-indexing x ss warnings)))

Theorem: vl-assignlist-resolve-indexing-vl-warninglist-equiv-congruence-on-warnings

(defthm
 vl-assignlist-resolve-indexing-vl-warninglist-equiv-congruence-on-warnings
 (implies
      (vl-warninglist-equiv warnings warnings-equiv)
      (equal (vl-assignlist-resolve-indexing x ss warnings)
             (vl-assignlist-resolve-indexing x ss warnings-equiv)))
 :rule-classes :congruence)