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    • Delayredux

    Vl-modulelist-delayredux-aux

    Signature
    (vl-modulelist-delayredux-aux x &key vecp state-onlyp) 
      → 
    (mv new-x addmods)
    Arguments
    x — Guard (vl-modulelist-p x).
    Returns
    new-x — Type (vl-modulelist-p new-x), given the guard.
    addmods — Type (vl-modulelist-p addmods), given the guard.

    Definitions and Theorems

    Function: vl-modulelist-delayredux-aux-fn

    (defun vl-modulelist-delayredux-aux-fn (x vecp state-onlyp)
      (declare (xargs :guard (vl-modulelist-p x)))
      (let ((__function__ 'vl-modulelist-delayredux-aux))
        (declare (ignorable __function__))
        (b* (((when (atom x)) (mv nil nil))
             ((mv car car-addmods)
              (vl-module-delayredux (car x)
                                    :vecp vecp
                                    :state-onlyp state-onlyp))
             ((mv cdr cdr-addmods)
              (vl-modulelist-delayredux-aux (cdr x)
                                            :vecp vecp
                                            :state-onlyp state-onlyp)))
          (mv (cons car cdr)
              (append-without-guard car-addmods cdr-addmods)))))

    Theorem: vl-modulelist-p-of-vl-modulelist-delayredux-aux.new-x

    (defthm vl-modulelist-p-of-vl-modulelist-delayredux-aux.new-x
      (implies
           (and (force (vl-modulelist-p x)))
           (b* (((mv ?new-x ?addmods)
                 (vl-modulelist-delayredux-aux-fn x vecp state-onlyp)))
             (vl-modulelist-p new-x)))
      :rule-classes :rewrite)

    Theorem: vl-modulelist-p-of-vl-modulelist-delayredux-aux.addmods

    (defthm vl-modulelist-p-of-vl-modulelist-delayredux-aux.addmods
      (implies
           (and (force (vl-modulelist-p x)))
           (b* (((mv ?new-x ?addmods)
                 (vl-modulelist-delayredux-aux-fn x vecp state-onlyp)))
             (vl-modulelist-p addmods)))
      :rule-classes :rewrite)

    Theorem: vl-modulelist->names-of-vl-modulelist-delayredux-aux

    (defthm vl-modulelist->names-of-vl-modulelist-delayredux-aux
      (b* (((mv new-x ?addmods)
            (vl-modulelist-delayredux-aux x
                                          :vecp vecp
                                          :state-onlyp state-onlyp)))
        (equal (vl-modulelist->names new-x)
               (vl-modulelist->names x))))