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• Macro-info

Macro-info-fix

Fixing function for macro-info structures.

Signature

(macro-info-fix x) → new-x

Arguments

x — Guard (macro-infop x).

Returns

new-x — Type (macro-infop new-x).

Definitions and Theorems

Function: macro-info-fix$inline

(defun macro-info-fix$inline (x)
 (declare (xargs :guard (macro-infop x)))
 (mbe
   :logic
   (case (macro-info-kind x)
     (:object
          (b* ((replace (plexeme-list-fix (std::da-nth 0 (cdr x)))))
            (let ((replace (if (plexeme-list-token/space-p replace)
                               replace
                             nil)))
              (cons :object (list replace)))))
     (:function
          (b* ((params (ident-list-fix (std::da-nth 0 (cdr x))))
               (ellipsis (bool-fix (std::da-nth 1 (cdr x))))
               (replace (plexeme-list-fix (std::da-nth 2 (cdr x)))))
            (let ((replace (if (plexeme-list-token/space-p replace)
                               replace
                             nil)))
              (cons :function (list params ellipsis replace))))))
   :exec x))

Theorem: macro-infop-of-macro-info-fix

(defthm macro-infop-of-macro-info-fix
  (b* ((new-x (macro-info-fix$inline x)))
    (macro-infop new-x))
  :rule-classes :rewrite)

Theorem: macro-info-fix-when-macro-infop

(defthm macro-info-fix-when-macro-infop
  (implies (macro-infop x)
           (equal (macro-info-fix x) x)))

Function: macro-info-equiv$inline

(defun macro-info-equiv$inline (acl2::x acl2::y)
  (declare (xargs :guard (and (macro-infop acl2::x)
                              (macro-infop acl2::y))))
  (equal (macro-info-fix acl2::x)
         (macro-info-fix acl2::y)))

Theorem: macro-info-equiv-is-an-equivalence

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

Theorem: macro-info-equiv-implies-equal-macro-info-fix-1

(defthm macro-info-equiv-implies-equal-macro-info-fix-1
  (implies (macro-info-equiv acl2::x x-equiv)
           (equal (macro-info-fix acl2::x)
                  (macro-info-fix x-equiv)))
  :rule-classes (:congruence))

Theorem: macro-info-fix-under-macro-info-equiv

(defthm macro-info-fix-under-macro-info-equiv
  (macro-info-equiv (macro-info-fix acl2::x)
                    acl2::x)
  :rule-classes (:rewrite :rewrite-quoted-constant))

Theorem: equal-of-macro-info-fix-1-forward-to-macro-info-equiv

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

Theorem: equal-of-macro-info-fix-2-forward-to-macro-info-equiv

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

Theorem: macro-info-equiv-of-macro-info-fix-1-forward

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

Theorem: macro-info-equiv-of-macro-info-fix-2-forward

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

Theorem: macro-info-kind$inline-of-macro-info-fix-x

(defthm macro-info-kind$inline-of-macro-info-fix-x
  (equal (macro-info-kind$inline (macro-info-fix x))
         (macro-info-kind$inline x)))

Theorem: macro-info-kind$inline-macro-info-equiv-congruence-on-x

(defthm macro-info-kind$inline-macro-info-equiv-congruence-on-x
  (implies (macro-info-equiv x x-equiv)
           (equal (macro-info-kind$inline x)
                  (macro-info-kind$inline x-equiv)))
  :rule-classes :congruence)

Theorem: consp-of-macro-info-fix

(defthm consp-of-macro-info-fix
  (consp (macro-info-fix x))
  :rule-classes :type-prescription)

Theorem: macro-info-fix$inline-of-macro-info-fix-x

(defthm macro-info-fix$inline-of-macro-info-fix-x
  (equal (macro-info-fix$inline (macro-info-fix x))
         (macro-info-fix$inline x)))

Theorem: macro-info-fix$inline-macro-info-equiv-congruence-on-x

(defthm macro-info-fix$inline-macro-info-equiv-congruence-on-x
  (implies (macro-info-equiv x x-equiv)
           (equal (macro-info-fix$inline x)
                  (macro-info-fix$inline x-equiv)))
  :rule-classes :congruence)