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    • Dead-code-eliminator-execution

    Funinfo-dead

    Eliminate dead code in function information.

    Signature
    (funinfo-dead info) → new-info
    Arguments
    info — Guard (funinfop info).
    Returns
    new-info — Type (funinfop new-info).

    We apply the transformation to the body of the function.

    Definitions and Theorems

    Function: funinfo-dead

    (defun funinfo-dead (info)
      (declare (xargs :guard (funinfop info)))
      (let ((__function__ 'funinfo-dead))
        (declare (ignorable __function__))
        (change-funinfo info
                        :body (block-dead (funinfo->body info)))))

    Theorem: funinfop-of-funinfo-dead

    (defthm funinfop-of-funinfo-dead
      (b* ((new-info (funinfo-dead info)))
        (funinfop new-info))
      :rule-classes :rewrite)

    Theorem: funinfo-dead-of-funinfo

    (defthm funinfo-dead-of-funinfo
      (equal (funinfo-dead (funinfo inputs outputs body))
             (funinfo inputs outputs (block-dead body))))

    Theorem: funinfo->inputs-of-funinfo-dead

    (defthm funinfo->inputs-of-funinfo-dead
      (equal (funinfo->inputs (funinfo-dead info))
             (funinfo->inputs info)))

    Theorem: funinfo->outputs-of-funinfo-dead

    (defthm funinfo->outputs-of-funinfo-dead
      (equal (funinfo->outputs (funinfo-dead info))
             (funinfo->outputs info)))

    Theorem: funinfo->body-of-funinfo-dead

    (defthm funinfo->body-of-funinfo-dead
      (equal (funinfo->body (funinfo-dead info))
             (block-dead (funinfo->body info))))

    Theorem: funinfo-dead-of-funinfo-fix-info

    (defthm funinfo-dead-of-funinfo-fix-info
      (equal (funinfo-dead (funinfo-fix info))
             (funinfo-dead info)))

    Theorem: funinfo-dead-funinfo-equiv-congruence-on-info

    (defthm funinfo-dead-funinfo-equiv-congruence-on-info
      (implies (funinfo-equiv info info-equiv)
               (equal (funinfo-dead info)
                      (funinfo-dead info-equiv)))
      :rule-classes :congruence)