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    • Vl-tname

    Vl-tname-fix

    Fixing function for vl-tname structures.

    Signature
    (vl-tname-fix x) → new-x
    Arguments
    x — Guard (vl-tname-p x).
    Returns
    new-x — Type (vl-tname-p new-x).

    Definitions and Theorems

    Function: vl-tname-fix$inline

    (defun vl-tname-fix$inline (x)
      (declare (xargs :guard (vl-tname-p x)))
      (let ((__function__ 'vl-tname-fix))
        (declare (ignorable __function__))
        (mbe :logic
             (b* ((base (str-fix (cdr (std::da-nth 0 (cdr x)))))
                  (model (str-fix (cdr (std::da-nth 1 (cdr x))))))
               (cons :vl-tname (list (cons 'base base)
                                     (cons 'model model))))
             :exec x)))

    Theorem: vl-tname-p-of-vl-tname-fix

    (defthm vl-tname-p-of-vl-tname-fix
      (b* ((new-x (vl-tname-fix$inline x)))
        (vl-tname-p new-x))
      :rule-classes :rewrite)

    Theorem: vl-tname-fix-when-vl-tname-p

    (defthm vl-tname-fix-when-vl-tname-p
      (implies (vl-tname-p x)
               (equal (vl-tname-fix x) x)))

    Function: vl-tname-equiv$inline

    (defun vl-tname-equiv$inline (acl2::x acl2::y)
      (declare (xargs :guard (and (vl-tname-p acl2::x)
                                  (vl-tname-p acl2::y))))
      (equal (vl-tname-fix acl2::x)
             (vl-tname-fix acl2::y)))

    Theorem: vl-tname-equiv-is-an-equivalence

    (defthm vl-tname-equiv-is-an-equivalence
      (and (booleanp (vl-tname-equiv x y))
           (vl-tname-equiv x x)
           (implies (vl-tname-equiv x y)
                    (vl-tname-equiv y x))
           (implies (and (vl-tname-equiv x y)
                         (vl-tname-equiv y z))
                    (vl-tname-equiv x z)))
      :rule-classes (:equivalence))

    Theorem: vl-tname-equiv-implies-equal-vl-tname-fix-1

    (defthm vl-tname-equiv-implies-equal-vl-tname-fix-1
      (implies (vl-tname-equiv acl2::x x-equiv)
               (equal (vl-tname-fix acl2::x)
                      (vl-tname-fix x-equiv)))
      :rule-classes (:congruence))

    Theorem: vl-tname-fix-under-vl-tname-equiv

    (defthm vl-tname-fix-under-vl-tname-equiv
      (vl-tname-equiv (vl-tname-fix acl2::x)
                      acl2::x)
      :rule-classes (:rewrite :rewrite-quoted-constant))

    Theorem: equal-of-vl-tname-fix-1-forward-to-vl-tname-equiv

    (defthm equal-of-vl-tname-fix-1-forward-to-vl-tname-equiv
      (implies (equal (vl-tname-fix acl2::x) acl2::y)
               (vl-tname-equiv acl2::x acl2::y))
      :rule-classes :forward-chaining)

    Theorem: equal-of-vl-tname-fix-2-forward-to-vl-tname-equiv

    (defthm equal-of-vl-tname-fix-2-forward-to-vl-tname-equiv
      (implies (equal acl2::x (vl-tname-fix acl2::y))
               (vl-tname-equiv acl2::x acl2::y))
      :rule-classes :forward-chaining)

    Theorem: vl-tname-equiv-of-vl-tname-fix-1-forward

    (defthm vl-tname-equiv-of-vl-tname-fix-1-forward
      (implies (vl-tname-equiv (vl-tname-fix acl2::x)
                               acl2::y)
               (vl-tname-equiv acl2::x acl2::y))
      :rule-classes :forward-chaining)

    Theorem: vl-tname-equiv-of-vl-tname-fix-2-forward

    (defthm vl-tname-equiv-of-vl-tname-fix-2-forward
      (implies (vl-tname-equiv acl2::x (vl-tname-fix acl2::y))
               (vl-tname-equiv acl2::x acl2::y))
      :rule-classes :forward-chaining)