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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)