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Duperhs-check

Vl-make-duperhs-alist-aux

Signature
(vl-make-duperhs-alist-aux x alist) → new-alist
Arguments: x — Guard (vl-assignlist-p x).; alist — Guard (vl-duperhs-alist-p alist).
Returns: new-alist — Type (vl-duperhs-alist-p new-alist).

Definitions and Theorems

Function: vl-make-duperhs-alist-aux

(defun vl-make-duperhs-alist-aux (x alist)
  (declare (xargs :guard (and (vl-assignlist-p x)
                              (vl-duperhs-alist-p alist))))
  (let ((__function__ 'vl-make-duperhs-alist-aux))
    (declare (ignorable __function__))
    (b* ((alist (vl-duperhs-alist-fix alist))
         ((when (atom x)) alist)
         ((vl-assign x1) (vl-assign-fix (car x)))
         (rhs1 (hons-copy (vl-expr-strip x1.expr)))
         (look (hons-get rhs1 alist))
         (alist (hons-acons rhs1 (cons x1 (cdr look))
                            alist)))
      (vl-make-duperhs-alist-aux (cdr x)
                                 alist))))

Theorem: vl-duperhs-alist-p-of-vl-make-duperhs-alist-aux

(defthm vl-duperhs-alist-p-of-vl-make-duperhs-alist-aux
  (b* ((new-alist (vl-make-duperhs-alist-aux x alist)))
    (vl-duperhs-alist-p new-alist))
  :rule-classes :rewrite)

Theorem: vl-make-duperhs-alist-aux-of-vl-assignlist-fix-x

(defthm vl-make-duperhs-alist-aux-of-vl-assignlist-fix-x
  (equal (vl-make-duperhs-alist-aux (vl-assignlist-fix x)
                                    alist)
         (vl-make-duperhs-alist-aux x alist)))

Theorem: vl-make-duperhs-alist-aux-vl-assignlist-equiv-congruence-on-x

(defthm
      vl-make-duperhs-alist-aux-vl-assignlist-equiv-congruence-on-x
  (implies (vl-assignlist-equiv x x-equiv)
           (equal (vl-make-duperhs-alist-aux x alist)
                  (vl-make-duperhs-alist-aux x-equiv alist)))
  :rule-classes :congruence)

Theorem: vl-make-duperhs-alist-aux-of-vl-duperhs-alist-fix-alist

(defthm vl-make-duperhs-alist-aux-of-vl-duperhs-alist-fix-alist
  (equal (vl-make-duperhs-alist-aux x (vl-duperhs-alist-fix alist))
         (vl-make-duperhs-alist-aux x alist)))

Theorem: vl-make-duperhs-alist-aux-vl-duperhs-alist-equiv-congruence-on-alist

(defthm
 vl-make-duperhs-alist-aux-vl-duperhs-alist-equiv-congruence-on-alist
 (implies (vl-duperhs-alist-equiv alist alist-equiv)
          (equal (vl-make-duperhs-alist-aux x alist)
                 (vl-make-duperhs-alist-aux x alist-equiv)))
 :rule-classes :congruence)