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    • Vl-operandinfo

    Vl-operandinfo-fix

    Fixing function for vl-operandinfo structures.

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

    Definitions and Theorems

    Function: vl-operandinfo-fix$inline

    (defun vl-operandinfo-fix$inline (x)
     (declare (xargs :guard (vl-operandinfo-p x)))
     (let ((__function__ 'vl-operandinfo-fix))
      (declare (ignorable __function__))
      (mbe
       :logic
       (b*
        ((orig-expr
              (vl-expr-fix
                   (std::prod-car (std::prod-car (std::prod-car x)))))
         (context
              (vl-scopecontext-fix
                   (std::prod-cdr (std::prod-car (std::prod-car x)))))
         (prefixname
              (vl-scopeexpr-fix
                   (std::prod-car (std::prod-cdr (std::prod-car x)))))
         (declname
            (str-fix (std::prod-cdr (std::prod-cdr (std::prod-car x)))))
         (hidtrace
              (vl-hidtrace-fix
                   (std::prod-car (std::prod-car (std::prod-cdr x)))))
         (hidtype
              (vl-datatype-fix
                   (std::prod-cdr (std::prod-car (std::prod-cdr x)))))
         (seltrace
              (vl-seltrace-fix
                   (std::prod-car (std::prod-cdr (std::prod-cdr x)))))
         (part
          (vl-partselect-fix
               (std::prod-car
                    (std::prod-cdr (std::prod-cdr (std::prod-cdr x))))))
         (type
          (vl-datatype-fix
              (std::prod-cdr
                   (std::prod-cdr (std::prod-cdr (std::prod-cdr x)))))))
        (std::prod-cons
            (std::prod-cons (std::prod-cons orig-expr context)
                            (std::prod-cons prefixname declname))
            (std::prod-cons
                 (std::prod-cons hidtrace hidtype)
                 (std::prod-cons seltrace (std::prod-cons part type)))))
       :exec x)))

    Theorem: vl-operandinfo-p-of-vl-operandinfo-fix

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

    Theorem: vl-operandinfo-fix-when-vl-operandinfo-p

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

    Function: vl-operandinfo-equiv$inline

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

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

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

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

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

    Theorem: vl-operandinfo-fix-under-vl-operandinfo-equiv

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

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

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

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

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

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

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

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

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