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Vl-follow-array-indices

Signature

(vl-follow-array-indices x type) → (mv err trace)

Arguments

x — Guard (vl-exprlist-p x).

type — Guard (vl-datatype-p type).

Returns

err — Type (iff (vl-msg-p err) err).

trace — Type (vl-seltrace-p trace).

Definitions and Theorems

Function: vl-follow-array-indices

(defun vl-follow-array-indices (x type)
 (declare (xargs :guard (and (vl-exprlist-p x)
                             (vl-datatype-p type))))
 (declare (xargs :guard (vl-datatype-resolved-p type)))
 (let ((__function__ 'vl-follow-array-indices))
  (declare (ignorable __function__))
  (b* (((when (atom x)) (mv nil nil))
       ((mv err caveat newtype &)
        (vl-datatype-remove-dim type))
       ((when err) (mv err nil))
       ((mv err rest)
        (vl-follow-array-indices (cdr x)
                                 newtype))
       ((when err) (mv err nil)))
   (mv
    nil
    (cons
        (make-vl-selstep :select (make-vl-select-index :val (car x))
                         :type newtype
                         :caveat caveat)
        rest)))))

Theorem: return-type-of-vl-follow-array-indices.err

(defthm return-type-of-vl-follow-array-indices.err
  (b* (((mv ?err common-lisp::?trace)
        (vl-follow-array-indices x type)))
    (iff (vl-msg-p err) err))
  :rule-classes :rewrite)

Theorem: vl-seltrace-p-of-vl-follow-array-indices.trace

(defthm vl-seltrace-p-of-vl-follow-array-indices.trace
  (b* (((mv ?err common-lisp::?trace)
        (vl-follow-array-indices x type)))
    (vl-seltrace-p trace))
  :rule-classes :rewrite)

Theorem: vl-seltrace-usertypes-ok-of-follow-array-indices

(defthm vl-seltrace-usertypes-ok-of-follow-array-indices
  (b* (((mv ?err common-lisp::?trace)
        (vl-follow-array-indices x type)))
    (implies (vl-datatype-resolved-p type)
             (vl-seltrace-usertypes-ok trace))))

Theorem: true-listp-of-vl-follow-array-indices-trace

(defthm true-listp-of-vl-follow-array-indices-trace
  (b* (((mv ?err common-lisp::?trace)
        (vl-follow-array-indices x type)))
    (true-listp trace))
  :rule-classes :type-prescription)

Theorem: vl-seltrace->indices-of-vl-follow-array-indices

(defthm vl-seltrace->indices-of-vl-follow-array-indices
  (b* (((mv ?err common-lisp::?trace)
        (vl-follow-array-indices x type)))
    (implies (not err)
             (equal (vl-seltrace->indices trace)
                    (vl-exprlist-fix x)))))

Theorem: consp-of-vl-follow-array-indices

(defthm consp-of-vl-follow-array-indices
  (b* (((mv ?err common-lisp::?trace)
        (vl-follow-array-indices x type)))
    (implies (not err)
             (equal (consp trace) (consp x)))))

Theorem: len-of-vl-follow-array-indices

(defthm len-of-vl-follow-array-indices
  (b* (((mv ?err common-lisp::?trace)
        (vl-follow-array-indices x type)))
    (implies (not err)
             (equal (len trace) (len x)))))

Theorem: vl-follow-array-indices-of-vl-exprlist-fix-x

(defthm vl-follow-array-indices-of-vl-exprlist-fix-x
  (equal (vl-follow-array-indices (vl-exprlist-fix x)
                                  type)
         (vl-follow-array-indices x type)))

Theorem: vl-follow-array-indices-vl-exprlist-equiv-congruence-on-x

(defthm vl-follow-array-indices-vl-exprlist-equiv-congruence-on-x
  (implies (vl-exprlist-equiv x x-equiv)
           (equal (vl-follow-array-indices x type)
                  (vl-follow-array-indices x-equiv type)))
  :rule-classes :congruence)

Theorem: vl-follow-array-indices-of-vl-datatype-fix-type

(defthm vl-follow-array-indices-of-vl-datatype-fix-type
  (equal (vl-follow-array-indices x (vl-datatype-fix type))
         (vl-follow-array-indices x type)))

Theorem: vl-follow-array-indices-vl-datatype-equiv-congruence-on-type

(defthm vl-follow-array-indices-vl-datatype-equiv-congruence-on-type
  (implies (vl-datatype-equiv type type-equiv)
           (equal (vl-follow-array-indices x type)
                  (vl-follow-array-indices x type-equiv)))
  :rule-classes :congruence)