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• Fgl-exhaustive-test-config

Fgl-exhaustive-test-config-fix

Fixing function for fgl-exhaustive-test-config structures.

Signature

(fgl-exhaustive-test-config-fix x) → new-x

Arguments

x — Guard (fgl-exhaustive-test-config-p x).

Returns

new-x — Type (fgl-exhaustive-test-config-p new-x).

Definitions and Theorems

Function: fgl-exhaustive-test-config-fix$inline

(defun fgl-exhaustive-test-config-fix$inline (x)
 (declare (xargs :guard (fgl-exhaustive-test-config-p x)))
 (let ((__function__ 'fgl-exhaustive-test-config-fix))
  (declare (ignorable __function__))
  (mbe
   :logic
   (b* ((ignore-pathcond (bool-fix (cdr (std::da-nth 0 (cdr x)))))
        (ignore-constraint (bool-fix (cdr (std::da-nth 1 (cdr x)))))
        (transform (bool-fix (cdr (std::da-nth 2 (cdr x)))))
        (transform-config-override (cdr (std::da-nth 3 (cdr x))))
        (random-iters
             (acl2::maybe-natp-fix (cdr (std::da-nth 4 (cdr x))))))
     (cons :fgl-exhaustive-test-config
           (list (cons 'ignore-pathcond ignore-pathcond)
                 (cons 'ignore-constraint
                       ignore-constraint)
                 (cons 'transform transform)
                 (cons 'transform-config-override
                       transform-config-override)
                 (cons 'random-iters random-iters))))
   :exec x)))

Theorem: fgl-exhaustive-test-config-p-of-fgl-exhaustive-test-config-fix

(defthm
     fgl-exhaustive-test-config-p-of-fgl-exhaustive-test-config-fix
  (b* ((new-x (fgl-exhaustive-test-config-fix$inline x)))
    (fgl-exhaustive-test-config-p new-x))
  :rule-classes :rewrite)

Theorem: fgl-exhaustive-test-config-fix-when-fgl-exhaustive-test-config-p

(defthm
   fgl-exhaustive-test-config-fix-when-fgl-exhaustive-test-config-p
  (implies (fgl-exhaustive-test-config-p x)
           (equal (fgl-exhaustive-test-config-fix x)
                  x)))

Function: fgl-exhaustive-test-config-equiv$inline

(defun fgl-exhaustive-test-config-equiv$inline (x y)
  (declare (xargs :guard (and (fgl-exhaustive-test-config-p x)
                              (fgl-exhaustive-test-config-p y))))
  (equal (fgl-exhaustive-test-config-fix x)
         (fgl-exhaustive-test-config-fix y)))

Theorem: fgl-exhaustive-test-config-equiv-is-an-equivalence

(defthm fgl-exhaustive-test-config-equiv-is-an-equivalence
  (and (booleanp (fgl-exhaustive-test-config-equiv x y))
       (fgl-exhaustive-test-config-equiv x x)
       (implies (fgl-exhaustive-test-config-equiv x y)
                (fgl-exhaustive-test-config-equiv y x))
       (implies (and (fgl-exhaustive-test-config-equiv x y)
                     (fgl-exhaustive-test-config-equiv y z))
                (fgl-exhaustive-test-config-equiv x z)))
  :rule-classes (:equivalence))

Theorem: fgl-exhaustive-test-config-equiv-implies-equal-fgl-exhaustive-test-config-fix-1

(defthm
 fgl-exhaustive-test-config-equiv-implies-equal-fgl-exhaustive-test-config-fix-1
 (implies (fgl-exhaustive-test-config-equiv x x-equiv)
          (equal (fgl-exhaustive-test-config-fix x)
                 (fgl-exhaustive-test-config-fix x-equiv)))
 :rule-classes (:congruence))

Theorem: fgl-exhaustive-test-config-fix-under-fgl-exhaustive-test-config-equiv

(defthm
 fgl-exhaustive-test-config-fix-under-fgl-exhaustive-test-config-equiv
 (fgl-exhaustive-test-config-equiv
      (fgl-exhaustive-test-config-fix x)
      x)
 :rule-classes (:rewrite :rewrite-quoted-constant))

Theorem: equal-of-fgl-exhaustive-test-config-fix-1-forward-to-fgl-exhaustive-test-config-equiv

(defthm
 equal-of-fgl-exhaustive-test-config-fix-1-forward-to-fgl-exhaustive-test-config-equiv
 (implies (equal (fgl-exhaustive-test-config-fix x)
                 y)
          (fgl-exhaustive-test-config-equiv x y))
 :rule-classes :forward-chaining)

Theorem: equal-of-fgl-exhaustive-test-config-fix-2-forward-to-fgl-exhaustive-test-config-equiv

(defthm
 equal-of-fgl-exhaustive-test-config-fix-2-forward-to-fgl-exhaustive-test-config-equiv
 (implies (equal x (fgl-exhaustive-test-config-fix y))
          (fgl-exhaustive-test-config-equiv x y))
 :rule-classes :forward-chaining)

Theorem: fgl-exhaustive-test-config-equiv-of-fgl-exhaustive-test-config-fix-1-forward

(defthm
 fgl-exhaustive-test-config-equiv-of-fgl-exhaustive-test-config-fix-1-forward
 (implies (fgl-exhaustive-test-config-equiv
               (fgl-exhaustive-test-config-fix x)
               y)
          (fgl-exhaustive-test-config-equiv x y))
 :rule-classes :forward-chaining)

Theorem: fgl-exhaustive-test-config-equiv-of-fgl-exhaustive-test-config-fix-2-forward

(defthm
 fgl-exhaustive-test-config-equiv-of-fgl-exhaustive-test-config-fix-2-forward
 (implies (fgl-exhaustive-test-config-equiv
               x (fgl-exhaustive-test-config-fix y))
          (fgl-exhaustive-test-config-equiv x y))
 :rule-classes :forward-chaining)