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• Vl-function-specialization

Vl-function-specialization-fix

Fixing function for vl-function-specialization structures.

Signature

(vl-function-specialization-fix x) → new-x

Arguments

x — Guard (vl-function-specialization-p x).

Returns

new-x — Type (vl-function-specialization-p new-x).

Definitions and Theorems

Function: vl-function-specialization-fix$inline

(defun vl-function-specialization-fix$inline (x)
 (declare (xargs :guard (vl-function-specialization-p x)))
 (let ((__function__ 'vl-function-specialization-fix))
  (declare (ignorable __function__))
  (mbe :logic
       (b* ((function (sv::svex-fix (std::da-nth 0 x)))
            (body (vl-stmt-fix (std::da-nth 1 x)))
            (constraints (sv::constraintlist-fix (std::da-nth 2 x)))
            (successp (std::da-nth 3 x)))
         (list function body constraints successp))
       :exec x)))

Theorem: vl-function-specialization-p-of-vl-function-specialization-fix

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

Theorem: vl-function-specialization-fix-when-vl-function-specialization-p

(defthm
   vl-function-specialization-fix-when-vl-function-specialization-p
  (implies (vl-function-specialization-p x)
           (equal (vl-function-specialization-fix x)
                  x)))

Function: vl-function-specialization-equiv$inline

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

Theorem: vl-function-specialization-equiv-is-an-equivalence

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

Theorem: vl-function-specialization-equiv-implies-equal-vl-function-specialization-fix-1

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

Theorem: vl-function-specialization-fix-under-vl-function-specialization-equiv

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

Theorem: equal-of-vl-function-specialization-fix-1-forward-to-vl-function-specialization-equiv

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

Theorem: equal-of-vl-function-specialization-fix-2-forward-to-vl-function-specialization-equiv

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

Theorem: vl-function-specialization-equiv-of-vl-function-specialization-fix-1-forward

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

Theorem: vl-function-specialization-equiv-of-vl-function-specialization-fix-2-forward

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