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Vl-expr-add-atts

Signature

(vl-expr-add-atts new-atts x) → new-x

Arguments

new-atts — Guard (vl-atts-p new-atts).

x — Guard (vl-expr-p x).

Returns

new-x — Type (vl-expr-p new-x).

Definitions and Theorems

Function: vl-expr-add-atts

(defun vl-expr-add-atts (new-atts x)
 (declare (xargs :guard (and (vl-atts-p new-atts)
                             (vl-expr-p x))))
 (let ((__function__ 'vl-expr-add-atts))
  (declare (ignorable __function__))
  (vl-expr-case
      x
      :atom
      (change-vl-atom x
                      :atts (append-without-guard new-atts x.atts))
      :nonatom (change-vl-nonatom
                    x
                    :atts (append-without-guard new-atts x.atts)))))

Theorem: vl-expr-p-of-vl-expr-add-atts

(defthm vl-expr-p-of-vl-expr-add-atts
  (b* ((new-x (vl-expr-add-atts new-atts x)))
    (vl-expr-p new-x))
  :rule-classes :rewrite)

Theorem: vl-expr-add-atts-of-vl-atts-fix-new-atts

(defthm vl-expr-add-atts-of-vl-atts-fix-new-atts
  (equal (vl-expr-add-atts (vl-atts-fix new-atts)
                           x)
         (vl-expr-add-atts new-atts x)))

Theorem: vl-expr-add-atts-vl-atts-equiv-congruence-on-new-atts

(defthm vl-expr-add-atts-vl-atts-equiv-congruence-on-new-atts
  (implies (vl-atts-equiv new-atts new-atts-equiv)
           (equal (vl-expr-add-atts new-atts x)
                  (vl-expr-add-atts new-atts-equiv x)))
  :rule-classes :congruence)

Theorem: vl-expr-add-atts-of-vl-expr-fix-x

(defthm vl-expr-add-atts-of-vl-expr-fix-x
  (equal (vl-expr-add-atts new-atts (vl-expr-fix x))
         (vl-expr-add-atts new-atts x)))

Theorem: vl-expr-add-atts-vl-expr-equiv-congruence-on-x

(defthm vl-expr-add-atts-vl-expr-equiv-congruence-on-x
  (implies (vl-expr-equiv x x-equiv)
           (equal (vl-expr-add-atts new-atts x)
                  (vl-expr-add-atts new-atts x-equiv)))
  :rule-classes :congruence)