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    Vl-dependent-elements-direct

    Gathers the names of all design elements that directly depend on particular descriptions.

    Signature
    (vl-dependent-elements-direct subs design) → superiors
    Arguments
    subs — Names of the sub design elements we're interested in.
        Guard (string-listp subs).
    design — The design.
        Guard (vl-design-p design).
    Returns
    superiors — Names of the superior design elements that directly depend on these sub elements.
        Type (and (string-listp superiors) (setp superiors)).

    Definitions and Theorems

    Function: vl-dependent-elements-direct

    (defun vl-dependent-elements-direct (subs design)
      (declare (xargs :guard (and (string-listp subs)
                                  (vl-design-p design))))
      (let ((__function__ 'vl-dependent-elements-direct))
        (declare (ignorable __function__))
        (vl-collect-dependencies (string-list-fix subs)
                                 (vl-design-upgraph design))))

    Theorem: return-type-of-vl-dependent-elements-direct

    (defthm return-type-of-vl-dependent-elements-direct
      (b* ((superiors (vl-dependent-elements-direct subs design)))
        (and (string-listp superiors)
             (setp superiors)))
      :rule-classes :rewrite)

    Theorem: vl-dependent-elements-direct-of-string-list-fix-subs

    (defthm vl-dependent-elements-direct-of-string-list-fix-subs
      (equal (vl-dependent-elements-direct (string-list-fix subs)
                                           design)
             (vl-dependent-elements-direct subs design)))

    Theorem: vl-dependent-elements-direct-string-list-equiv-congruence-on-subs

    (defthm
      vl-dependent-elements-direct-string-list-equiv-congruence-on-subs
      (implies (str::string-list-equiv subs subs-equiv)
               (equal (vl-dependent-elements-direct subs design)
                      (vl-dependent-elements-direct subs-equiv design)))
      :rule-classes :congruence)

    Theorem: vl-dependent-elements-direct-of-vl-design-fix-design

    (defthm vl-dependent-elements-direct-of-vl-design-fix-design
      (equal (vl-dependent-elements-direct subs (vl-design-fix design))
             (vl-dependent-elements-direct subs design)))

    Theorem: vl-dependent-elements-direct-vl-design-equiv-congruence-on-design

    (defthm
      vl-dependent-elements-direct-vl-design-equiv-congruence-on-design
      (implies (vl-design-equiv design design-equiv)
               (equal (vl-dependent-elements-direct subs design)
                      (vl-dependent-elements-direct subs design-equiv)))
      :rule-classes :congruence)