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Origexprs

Vl-initial-origexprs

Add VL_ORIG_EXPR annotations throughout a vl-initial-p

Signature
(vl-initial-origexprs x) → new-x
Arguments: x — Guard (vl-initial-p x).
Returns: new-x — Type (vl-initial-p new-x).

Definitions and Theorems

Function: vl-initial-origexprs

(defun vl-initial-origexprs (x)
  (declare (xargs :guard (vl-initial-p x)))
  (let ((__function__ 'vl-initial-origexprs))
    (declare (ignorable __function__))
    (let ((x (vl-initial-fix x)))
      (b* (((vl-initial x)))
        (change-vl-initial x
                           :stmt (vl-stmt-origexprs x.stmt))))))

Theorem: vl-initial-p-of-vl-initial-origexprs

(defthm vl-initial-p-of-vl-initial-origexprs
  (b* ((new-x (vl-initial-origexprs x)))
    (vl-initial-p new-x))
  :rule-classes :rewrite)

Theorem: vl-initial-origexprs-of-vl-initial-fix-x

(defthm vl-initial-origexprs-of-vl-initial-fix-x
  (equal (vl-initial-origexprs (vl-initial-fix x))
         (vl-initial-origexprs x)))

Theorem: vl-initial-origexprs-vl-initial-equiv-congruence-on-x

(defthm vl-initial-origexprs-vl-initial-equiv-congruence-on-x
  (implies (vl-initial-equiv x x-equiv)
           (equal (vl-initial-origexprs x)
                  (vl-initial-origexprs x-equiv)))
  :rule-classes :congruence)