		Search-engine friendly clone of the ACL2 documentation.

Snippet-info

Snippet-info-fix

Fixing function for snippet-info structures.

Signature
(snippet-info-fix x) → new-x
Arguments: x — Guard (snippet-info-p x).
Returns: new-x — Type (snippet-info-p new-x).

Definitions and Theorems

Function: snippet-info-fix$inline

(defun snippet-info-fix$inline (x)
  (declare (xargs :guard (snippet-info-p x)))
  (let ((__function__ 'snippet-info-fix))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((name (acl2::str-fix (std::da-nth 0 x)))
              (input-size (nfix (std::da-nth 1 x)))
              (output-size (pos-fix (std::da-nth 2 x)))
              (addr (canonical-address-fix (std::da-nth 3 x))))
           (list name input-size output-size addr))
         :exec x)))

Theorem: snippet-info-p-of-snippet-info-fix

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

Theorem: snippet-info-fix-when-snippet-info-p

(defthm snippet-info-fix-when-snippet-info-p
  (implies (snippet-info-p x)
           (equal (snippet-info-fix x) x)))

Function: snippet-info-equiv$inline

(defun snippet-info-equiv$inline (x y)
  (declare (xargs :guard (and (snippet-info-p x)
                              (snippet-info-p y))))
  (equal (snippet-info-fix x)
         (snippet-info-fix y)))

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

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

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

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

Theorem: snippet-info-fix-under-snippet-info-equiv

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

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

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

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

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

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

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

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

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