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• Sv::vl-expr.lisp

Svex-concat-list

Signature

(svex-concat-list widths x) → concat

Arguments

widths — Guard (nat-listp widths).

x — Guard (sv::svexlist-p x).

Returns

concat — Type (sv::svex-p concat).

Definitions and Theorems

Function: svex-concat-list

(defun svex-concat-list (widths x)
  (declare (xargs :guard (and (nat-listp widths)
                              (sv::svexlist-p x))))
  (declare (xargs :guard (eql (len widths) (len x))))
  (let ((__function__ 'svex-concat-list))
    (declare (ignorable __function__))
    (if (atom x)
        (svex-x)
      (svex-concat-list-aux (cdr widths)
                            (cdr x)
                            (car x)))))

Theorem: svex-p-of-svex-concat-list

(defthm svex-p-of-svex-concat-list
  (b* ((concat (svex-concat-list widths x)))
    (sv::svex-p concat))
  :rule-classes :rewrite)

Theorem: vars-of-svex-concat-list

(defthm vars-of-svex-concat-list
  (implies
       (not (member v (sv::svexlist-vars x)))
       (not (member v
                    (sv::svex-vars (svex-concat-list widths x))))))

Theorem: svex-concat-list-of-svexlist-fix-x

(defthm svex-concat-list-of-svexlist-fix-x
  (equal (svex-concat-list widths (sv::svexlist-fix x))
         (svex-concat-list widths x)))

Theorem: svex-concat-list-svexlist-equiv-congruence-on-x

(defthm svex-concat-list-svexlist-equiv-congruence-on-x
  (implies (sv::svexlist-equiv x x-equiv)
           (equal (svex-concat-list widths x)
                  (svex-concat-list widths x-equiv)))
  :rule-classes :congruence)