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Origexprs

Vl-maybe-gatedelay-origexprs

Add VL_ORIG_EXPR annotations throughout a vl-maybe-gatedelay-p

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

Definitions and Theorems

Function: vl-maybe-gatedelay-origexprs

(defun vl-maybe-gatedelay-origexprs (x)
  (declare (xargs :guard (vl-maybe-gatedelay-p x)))
  (let ((__function__ 'vl-maybe-gatedelay-origexprs))
    (declare (ignorable __function__))
    (let ((x (vl-maybe-gatedelay-fix x)))
      (if x (vl-gatedelay-origexprs x) nil))))

Theorem: vl-maybe-gatedelay-p-of-vl-maybe-gatedelay-origexprs

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

Theorem: vl-maybe-gatedelay-origexprs-of-vl-maybe-gatedelay-fix-x

(defthm vl-maybe-gatedelay-origexprs-of-vl-maybe-gatedelay-fix-x
  (equal (vl-maybe-gatedelay-origexprs (vl-maybe-gatedelay-fix x))
         (vl-maybe-gatedelay-origexprs x)))

Theorem: vl-maybe-gatedelay-origexprs-vl-maybe-gatedelay-equiv-congruence-on-x

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