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• Syntax

Vl-datatype-update-dims

Signature

(vl-datatype-update-dims pdims udims x) → newx

Arguments

pdims — Guard (vl-packeddimensionlist-p pdims).

udims — Guard (vl-packeddimensionlist-p udims).

x — Guard (vl-datatype-p x).

Returns

newx — Type (and (vl-datatype-p newx) (eq (vl-datatype-kind newx) (vl-datatype-kind x))) .

Definitions and Theorems

Function: vl-datatype-update-dims

(defun vl-datatype-update-dims (pdims udims x)
  (declare (xargs :guard (and (vl-packeddimensionlist-p pdims)
                              (vl-packeddimensionlist-p udims)
                              (vl-datatype-p x))))
  (let ((__function__ 'vl-datatype-update-dims))
    (declare (ignorable __function__))
    (vl-datatype-case
         x
         :vl-coretype (change-vl-coretype x
                                          :pdims pdims
                                          :udims udims)
         :vl-struct (change-vl-struct x
                                      :pdims pdims
                                      :udims udims)
         :vl-union (change-vl-union x
                                    :pdims pdims
                                    :udims udims)
         :vl-enum (change-vl-enum x
                                  :pdims pdims
                                  :udims udims)
         :vl-usertype (change-vl-usertype x
                                          :pdims pdims
                                          :udims udims))))

Theorem: return-type-of-vl-datatype-update-dims

(defthm return-type-of-vl-datatype-update-dims
  (b* ((newx (vl-datatype-update-dims pdims udims x)))
    (and (vl-datatype-p newx)
         (eq (vl-datatype-kind newx)
             (vl-datatype-kind x))))
  :rule-classes :rewrite)

Theorem: vl-datatype-update-dims-of-own

(defthm vl-datatype-update-dims-of-own
  (equal (vl-datatype-update-dims (vl-datatype->pdims x)
                                  (vl-datatype->udims x)
                                  x)
         (vl-datatype-fix x)))

Theorem: vl-datatype->pdims-of-vl-datatype-update-dims

(defthm vl-datatype->pdims-of-vl-datatype-update-dims
 (equal (vl-datatype->pdims (vl-datatype-update-dims pdims udims x))
        (vl-packeddimensionlist-fix pdims)))

Theorem: vl-datatype->udims-of-vl-datatype-update-dims

(defthm vl-datatype->udims-of-vl-datatype-update-dims
 (equal (vl-datatype->udims (vl-datatype-update-dims pdims udims x))
        (vl-packeddimensionlist-fix udims)))

Theorem: vl-datatype-update-dims-of-vl-packeddimensionlist-fix-pdims

(defthm vl-datatype-update-dims-of-vl-packeddimensionlist-fix-pdims
  (equal (vl-datatype-update-dims (vl-packeddimensionlist-fix pdims)
                                  udims x)
         (vl-datatype-update-dims pdims udims x)))

Theorem: vl-datatype-update-dims-vl-packeddimensionlist-equiv-congruence-on-pdims

(defthm
 vl-datatype-update-dims-vl-packeddimensionlist-equiv-congruence-on-pdims
 (implies (vl-packeddimensionlist-equiv pdims pdims-equiv)
          (equal (vl-datatype-update-dims pdims udims x)
                 (vl-datatype-update-dims pdims-equiv udims x)))
 :rule-classes :congruence)

Theorem: vl-datatype-update-dims-of-vl-packeddimensionlist-fix-udims

(defthm vl-datatype-update-dims-of-vl-packeddimensionlist-fix-udims
 (equal
   (vl-datatype-update-dims pdims (vl-packeddimensionlist-fix udims)
                            x)
   (vl-datatype-update-dims pdims udims x)))

Theorem: vl-datatype-update-dims-vl-packeddimensionlist-equiv-congruence-on-udims

(defthm
 vl-datatype-update-dims-vl-packeddimensionlist-equiv-congruence-on-udims
 (implies (vl-packeddimensionlist-equiv udims udims-equiv)
          (equal (vl-datatype-update-dims pdims udims x)
                 (vl-datatype-update-dims pdims udims-equiv x)))
 :rule-classes :congruence)

Theorem: vl-datatype-update-dims-of-vl-datatype-fix-x

(defthm vl-datatype-update-dims-of-vl-datatype-fix-x
  (equal (vl-datatype-update-dims pdims udims (vl-datatype-fix x))
         (vl-datatype-update-dims pdims udims x)))

Theorem: vl-datatype-update-dims-vl-datatype-equiv-congruence-on-x

(defthm vl-datatype-update-dims-vl-datatype-equiv-congruence-on-x
  (implies (vl-datatype-equiv x x-equiv)
           (equal (vl-datatype-update-dims pdims udims x)
                  (vl-datatype-update-dims pdims udims x-equiv)))
  :rule-classes :congruence)