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    • Vl-namefactory-p

    Vl-namefactory-indexed-name

    (vl-namefactory-indexed-name prefix factory) constructs a fresh name that looks like prefix_n for some natural number n, and returns (mv fresh-name factory-prime).

    Signature
    (vl-namefactory-indexed-name prefix factory) 
      → 
    (mv fresh-name new-factory)
    Arguments
    prefix — Guard (stringp prefix).
    factory — Guard (vl-namefactory-p factory).
    Returns
    fresh-name — Type (stringp fresh-name).
    new-factory — Type (vl-namefactory-p new-factory).

    Definitions and Theorems

    Function: vl-namefactory-indexed-name

    (defun vl-namefactory-indexed-name (prefix factory)
      (declare (xargs :guard (and (stringp prefix)
                                  (vl-namefactory-p factory))))
      (let ((__function__ 'vl-namefactory-indexed-name))
        (declare (ignorable __function__))
        (b* ((factory (vl-namefactory-maybe-initialize factory))
             ((mv newname db-prime)
              (vl-namedb-indexed-name prefix
                                      (vl-namefactory->namedb factory)))
             (factory (change-vl-namefactory factory
                                             :namedb db-prime)))
          (mv newname factory))))

    Theorem: stringp-of-vl-namefactory-indexed-name.fresh-name

    (defthm stringp-of-vl-namefactory-indexed-name.fresh-name
      (b* (((mv ?fresh-name ?new-factory)
            (vl-namefactory-indexed-name prefix factory)))
        (stringp fresh-name))
      :rule-classes :type-prescription)

    Theorem: vl-namefactory-p-of-vl-namefactory-indexed-name.new-factory

    (defthm vl-namefactory-p-of-vl-namefactory-indexed-name.new-factory
      (b* (((mv ?fresh-name ?new-factory)
            (vl-namefactory-indexed-name prefix factory)))
        (vl-namefactory-p new-factory))
      :rule-classes :rewrite)

    Theorem: vl-namefactory-allnames-of-vl-namefactory-indexed-name

    (defthm vl-namefactory-allnames-of-vl-namefactory-indexed-name
      (b* (((mv fresh-name new-factory)
            (vl-namefactory-indexed-name prefix factory)))
        (equal (vl-namefactory-allnames new-factory)
               (cons fresh-name
                     (vl-namefactory-allnames factory)))))

    Theorem: vl-namefactory-indexed-name-is-fresh

    (defthm vl-namefactory-indexed-name-is-fresh
      (b* (((mv fresh-name ?new-factory)
            (vl-namefactory-indexed-name prefix factory)))
        (not (member-equal fresh-name
                           (vl-namefactory-allnames factory)))))

    Theorem: vl-namefactory-indexed-name-of-str-fix-prefix

    (defthm vl-namefactory-indexed-name-of-str-fix-prefix
      (equal (vl-namefactory-indexed-name (str-fix prefix)
                                          factory)
             (vl-namefactory-indexed-name prefix factory)))

    Theorem: vl-namefactory-indexed-name-streqv-congruence-on-prefix

    (defthm vl-namefactory-indexed-name-streqv-congruence-on-prefix
      (implies
           (streqv prefix prefix-equiv)
           (equal (vl-namefactory-indexed-name prefix factory)
                  (vl-namefactory-indexed-name prefix-equiv factory)))
      :rule-classes :congruence)

    Theorem: vl-namefactory-indexed-name-of-vl-namefactory-fix-factory

    (defthm vl-namefactory-indexed-name-of-vl-namefactory-fix-factory
     (equal
       (vl-namefactory-indexed-name prefix (vl-namefactory-fix factory))
       (vl-namefactory-indexed-name prefix factory)))

    Theorem: vl-namefactory-indexed-name-vl-namefactory-equiv-congruence-on-factory

    (defthm
     vl-namefactory-indexed-name-vl-namefactory-equiv-congruence-on-factory
     (implies
          (vl-namefactory-equiv factory factory-equiv)
          (equal (vl-namefactory-indexed-name prefix factory)
                 (vl-namefactory-indexed-name prefix factory-equiv)))
     :rule-classes :congruence)