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    • Basic-bind-elim

    Vl-design-bindelim-pass2

    Signature
    (vl-design-bindelim-pass2 x delta) → new-x
    Arguments
    x — Guard (vl-design-p x).
    delta — Guard (vl-binddelta-p delta).
    Returns
    new-x — Type (vl-design-p new-x).

    Definitions and Theorems

    Function: vl-design-bindelim-pass2

    (defun vl-design-bindelim-pass2 (x delta)
     (declare (xargs :guard (and (vl-design-p x)
                                 (vl-binddelta-p delta))))
     (let ((__function__ 'vl-design-bindelim-pass2))
       (declare (ignorable __function__))
       (b*
        (((vl-design x) (vl-design-fix x))
         (delta (vl-binddelta-fix delta))
         (new-mods (vl-modulelist-apply-binddelta x.mods delta))
         (new-ifs (vl-interfacelist-apply-binddelta x.interfaces delta))
         (ok-names
              (union (mergesort (vl-interfacelist->names x.interfaces))
                     (mergesort (vl-modulelist->names x.mods))))
         (actual-names (mergesort (alist-keys delta)))
         (bad-names (difference actual-names ok-names))
         (bad-delta (acl2::fal-extract bad-names delta))
         (warnings (vl-warn-binddelta-undefined bad-delta x.warnings)))
        (fast-alist-free bad-delta)
        (change-vl-design x
                          :mods new-mods
                          :interfaces new-ifs
                          :warnings warnings))))

    Theorem: vl-design-p-of-vl-design-bindelim-pass2

    (defthm vl-design-p-of-vl-design-bindelim-pass2
      (b* ((new-x (vl-design-bindelim-pass2 x delta)))
        (vl-design-p new-x))
      :rule-classes :rewrite)

    Theorem: vl-design-bindelim-pass2-of-vl-design-fix-x

    (defthm vl-design-bindelim-pass2-of-vl-design-fix-x
      (equal (vl-design-bindelim-pass2 (vl-design-fix x)
                                       delta)
             (vl-design-bindelim-pass2 x delta)))

    Theorem: vl-design-bindelim-pass2-vl-design-equiv-congruence-on-x

    (defthm vl-design-bindelim-pass2-vl-design-equiv-congruence-on-x
      (implies (vl-design-equiv x x-equiv)
               (equal (vl-design-bindelim-pass2 x delta)
                      (vl-design-bindelim-pass2 x-equiv delta)))
      :rule-classes :congruence)

    Theorem: vl-design-bindelim-pass2-of-vl-binddelta-fix-delta

    (defthm vl-design-bindelim-pass2-of-vl-binddelta-fix-delta
      (equal (vl-design-bindelim-pass2 x (vl-binddelta-fix delta))
             (vl-design-bindelim-pass2 x delta)))

    Theorem: vl-design-bindelim-pass2-vl-binddelta-equiv-congruence-on-delta

    (defthm
        vl-design-bindelim-pass2-vl-binddelta-equiv-congruence-on-delta
      (implies (vl-binddelta-equiv delta delta-equiv)
               (equal (vl-design-bindelim-pass2 x delta)
                      (vl-design-bindelim-pass2 x delta-equiv)))
      :rule-classes :congruence)