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• Vl-unparam-signature

Vl-unparam-signature-fix

Fixing function for vl-unparam-signature structures.

Signature

(vl-unparam-signature-fix x) → new-x

Arguments

x — Guard (vl-unparam-signature-p x).

Returns

new-x — Type (vl-unparam-signature-p new-x).

Definitions and Theorems

Function: vl-unparam-signature-fix$inline

(defun vl-unparam-signature-fix$inline (x)
 (declare (xargs :guard (vl-unparam-signature-p x)))
 (let ((__function__ 'vl-unparam-signature-fix))
  (declare (ignorable __function__))
  (mbe
    :logic
    (b*
     ((modname (str-fix (std::prod-car (std::prod-car x))))
      (newname (str-fix (std::prod-cdr (std::prod-car x))))
      (final-params
           (vl-paramdecllist-fix (std::prod-car (std::prod-cdr x))))
      (final-ports
           (vl-portlist-fix (std::prod-cdr (std::prod-cdr x)))))
     (std::prod-cons (std::prod-cons modname newname)
                     (std::prod-cons final-params final-ports)))
    :exec x)))

Theorem: vl-unparam-signature-p-of-vl-unparam-signature-fix

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

Theorem: vl-unparam-signature-fix-when-vl-unparam-signature-p

(defthm vl-unparam-signature-fix-when-vl-unparam-signature-p
  (implies (vl-unparam-signature-p x)
           (equal (vl-unparam-signature-fix x) x)))

Function: vl-unparam-signature-equiv$inline

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

Theorem: vl-unparam-signature-equiv-is-an-equivalence

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

Theorem: vl-unparam-signature-equiv-implies-equal-vl-unparam-signature-fix-1

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

Theorem: vl-unparam-signature-fix-under-vl-unparam-signature-equiv

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

Theorem: equal-of-vl-unparam-signature-fix-1-forward-to-vl-unparam-signature-equiv

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

Theorem: equal-of-vl-unparam-signature-fix-2-forward-to-vl-unparam-signature-equiv

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

Theorem: vl-unparam-signature-equiv-of-vl-unparam-signature-fix-1-forward

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

Theorem: vl-unparam-signature-equiv-of-vl-unparam-signature-fix-2-forward

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