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• Trunc

Vl-assignlist-trunc

Signature

(vl-assignlist-trunc x delta) → (mv assigns detla)

Arguments

x — Guard (vl-assignlist-p x).

delta — Guard (vl-delta-p delta).

Returns

assigns — Type (vl-assignlist-p assigns).

detla — Type (vl-delta-p detla).

Definitions and Theorems

Function: vl-assignlist-trunc

(defun vl-assignlist-trunc (x delta)
  (declare (xargs :guard (and (vl-assignlist-p x)
                              (vl-delta-p delta))))
  (let ((__function__ 'vl-assignlist-trunc))
    (declare (ignorable __function__))
    (b* (((when (atom x))
          (mv nil (vl-delta-fix delta)))
         ((mv car delta)
          (vl-assign-trunc (car x) delta))
         ((mv cdr delta)
          (vl-assignlist-trunc (cdr x) delta)))
      (mv (cons car cdr) delta))))

Theorem: vl-assignlist-p-of-vl-assignlist-trunc.assigns

(defthm vl-assignlist-p-of-vl-assignlist-trunc.assigns
  (b* (((mv ?assigns ?detla)
        (vl-assignlist-trunc x delta)))
    (vl-assignlist-p assigns))
  :rule-classes :rewrite)

Theorem: vl-delta-p-of-vl-assignlist-trunc.detla

(defthm vl-delta-p-of-vl-assignlist-trunc.detla
  (b* (((mv ?assigns ?detla)
        (vl-assignlist-trunc x delta)))
    (vl-delta-p detla))
  :rule-classes :rewrite)

Theorem: vl-assignlist-trunc-of-vl-assignlist-fix-x

(defthm vl-assignlist-trunc-of-vl-assignlist-fix-x
  (equal (vl-assignlist-trunc (vl-assignlist-fix x)
                              delta)
         (vl-assignlist-trunc x delta)))

Theorem: vl-assignlist-trunc-vl-assignlist-equiv-congruence-on-x

(defthm vl-assignlist-trunc-vl-assignlist-equiv-congruence-on-x
  (implies (vl-assignlist-equiv x x-equiv)
           (equal (vl-assignlist-trunc x delta)
                  (vl-assignlist-trunc x-equiv delta)))
  :rule-classes :congruence)

Theorem: vl-assignlist-trunc-of-vl-delta-fix-delta

(defthm vl-assignlist-trunc-of-vl-delta-fix-delta
  (equal (vl-assignlist-trunc x (vl-delta-fix delta))
         (vl-assignlist-trunc x delta)))

Theorem: vl-assignlist-trunc-vl-delta-equiv-congruence-on-delta

(defthm vl-assignlist-trunc-vl-delta-equiv-congruence-on-delta
  (implies (vl-delta-equiv delta delta-equiv)
           (equal (vl-assignlist-trunc x delta)
                  (vl-assignlist-trunc x delta-equiv)))
  :rule-classes :congruence)